Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5 - Journal of High Energy Physics
- ️Schreiber, Urs
- ️Tue Feb 18 2020
M. Aganagic, J. Park, C. Popescu and J.H. Schwarz, World volume action of the M-theory five-brane, Nucl. Phys. B 496 (1997) 191 [hep-th/9701166] [INSPIRE].
M. Aganagic, J. Park, C. Popescu and J.H. Schwarz, Dual D-brane actions, Nucl. Phys. B 496 (1997) 215 [hep-th/9702133] [INSPIRE].
O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points, Nucl. Phys. B 504 (1997) 239 [hep-th/9704170] [INSPIRE].
L. Andrianopoli, R. D’Auria and L. Ravera, Hidden gauge structure of supersymmetric free differential algebras, JHEP 08 (2016) 095 [arXiv:1606.07328] [INSPIRE].
F. Apruzzi and M. Fazzi, AdS7/CFT6 with orientifolds, JHEP 01 (2018) 124 [arXiv:1712.03235] [INSPIRE].
A.S. Arvanitakis, Brane Wess-Zumino terms from AKSZ and exceptional generalised geometry as an L∞-algebroid, arXiv:1804.07303 [INSPIRE].
J.J. Atick, A. Dhar and B. Ratra, Superspace formulation of ten-dimensional N = 1 supergravity coupled to N = 1 Super-Yang-Mills theory, Phys. Rev. D 33 (1986) 2824 [INSPIRE].
P. van Baal, An introduction to topological Yang-Mills theory, Acta Phys. Polon. B 21 (1990) 73.
I. Bandos, Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories, Nucl. Phys. B 925 (2017) 28 [arXiv:1612.01321] [INSPIRE].
I.A. Bandos et al., On the underlying gauge group structure of D = 11 supergravity, Phys. Lett. B 596 (2004) 145 [hep-th/0406020] [INSPIRE].
I.A. Bandos, D.P. Sorokin and D. Volkov, On the generalized action principle for superstrings and supermembranes, Phys. Lett. B 352 (1995) 269 [hep-th/9502141] [INSPIRE].
I.A. Bandos et al., Covariant action for the superfive-brane of M-theory, Phys. Rev. Lett. 78 (1997) 4332 [hep-th/9701149] [INSPIRE].
I.A. Bandos et al., Superstrings and supermembranes in the doubly supersymmetric geometrical approach, Nucl. Phys. B 446 (1995) 79 [hep-th/9501113] [INSPIRE].
L. Baulieu and I. Singer, Topological Yang-Mills symmetry, Nucl. Phys. Proc. Suppl. B 5 (1988) 12.
K. Becker, M. Becker and A. Strominger, Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158] [INSPIRE].
E. Bergshoeff, E. Sezgin and P.K. Townsend, Supermembranes and eleven-dimensional supergravity, Phys. Lett. B 189 (1987) 75 [INSPIRE].
L. Bonora et al., Anomaly free supergravity and Super-Yang-Mills theories in ten-dimensions, Nucl. Phys. B 296 (1988) 877 [INSPIRE].
V. Braunack-Mayer, Rational parametrised stable homotopy theory, Ph.D. thesis, Zürich, Switzerland (2018).
V. Braunack-Mayer, H. Sati and U. Schreiber, Gauge enhancement of super M-branes via parametrized stable homotopy theory, Commun. Math. Phys. 371 (2019) 197 [arXiv:1806.01115] [INSPIRE].
D. Butter, H. Samtleben and E. Sezgin, E7(7) exceptional field theory in superspace, JHEP 01 (2019) 087 [arXiv:1811.00038] [INSPIRE].
S. Cabrera, A. Hanany and M. Sperling, Magnetic quivers, Higgs branches and 6d N = (1, 0) theories, JHEP 06 (2019) 071 [arXiv:1904.12293] [INSPIRE].
L. Castellani, R. D’Auria and P. Fré, Supergravity and Superstrings — A geometric perspective, World Scientific, Singapore (1991).
A. Candiello and K. Lechner, Duality in supergravity theories, Nucl. Phys. B 412 (1994) 479 [hep-th/9309143] [INSPIRE].
M. Cederwall, Fundamental issues in extended geometry, talk given at the 8th Mathematical Physics Meeting, August 24–31, Belgrade, Serbia (2014).
M. Cederwall, J. Edlund and A. Karlsson, Exceptional geometry and tensor fields, JHEP 07 (2013) 028 [arXiv:1302.6736] [INSPIRE].
M. Cederwall, U. Gran, B.E.W. Nilsson and D. Tsimpis, Supersymmetric corrections to eleven-dimensional supergravity, JHEP 05 (2005) 052 [hep-th/0409107] [INSPIRE].
M. Cederwall et al., The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity, Nucl. Phys. B 490 (1997) 179 [hep-th/9611159] [INSPIRE].
E. Cremmer and B. Julia, The SO(8) supergravity, Nucl. Phys. B 159 (1979) 141 [INSPIRE].
E. Cremmer, Supergravities in 5 dimensions, in Superspace and supergravity, S.W. Hawking and M. Rocek eds., Cambridge University Press, Cambridge U.K. (1981).
C. Chryssomalakos, J.A. de Azcarraga, J.M. Izquierdo and J.C. Perez Bueno, The Geometry of branes and extended superspaces, Nucl. Phys. B 567 (2000) 293 [hep-th/9904137] [INSPIRE].
A. Dasgupta, H. Nicolai and J. Plefka, An introduction to the quantum supermembrane, Grav. Cosmol. 8 (2002) 1 [hep-th/0201182] [INSPIRE].
R. D’Auria and P. Fré, Geometric supergravity in D = 11 and its hidden supergroup, Nucl. Phys. B 201 (1982) 101, ncatlab.org/nlab/files/GeometricSupergravity.pdf.
M. Del Zotto, J.J. Heckman, A. Tomasiello and C. Vafa, 6d conformal Matter, JHEP 02 (2015) 054 [arXiv:1407.6359] [INSPIRE].
B. de Wit, J. Hoppe and H. Nicolai, On the quantum mechanics of supermembranes, Nucl. Phys. B 305 (1988) 545 [INSPIRE].
M.R. Douglas, On D = 5 super Yang-Mills theory and (2, 0) theory, JHEP 02 (2011) 011 [arXiv:1012.2880] [INSPIRE].
M. Egeileh and F. El Chami, Some remarks on the geometry of superspace supergravity, J. Geom. Phys. 62 (2012) 53 [INSPIRE].
J. Evslin and H. Sati, SUSY versus E8 gauge theory in eleven-dimensions, JHEP 05 (2003) 048 [hep-th/0210090] [INSPIRE].
O. de Felice, Flux backgrounds and exceptional generalised geometry, Ph.D. thesis, LPTHE, Paris, France (2018), arXiv:1808.04225 [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, Super Lie n-algebra extensions, higher WZW models and super p-branes with tensor multiplet fields, Int. J. Geom. Meth. Mod. Phys. 12 (2014) 1550018 [arXiv:1308.5264] [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, The E8 Moduli 3-stack of the C-field in M-theory, Commun. Math. Phys. 333 (2015) 117 [arXiv:1202.2455] [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, Multiple M5-branes, string 2-connections and 7d non-Abelian Chern-Simons theory, Adv. Theor. Math. Phys. 18 (2014) 229 [arXiv:1201.5277] [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, The Wess-Zumino-Witten term of the M5-brane and differential cohomotopy, J. Math. Phys. 56 (2015) 102301 [arXiv:1506.07557] [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, Rational sphere valued supercocycles in M-theory and type IIA string theory, J. Geom. Phys. 114 (2017) 91 [arXiv:1606.03206] [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, T-duality from super Lie n-algebra cocycles for super p-branes, Adv. Theor. Math. Phys. 22 (2018) 1209 [arXiv:1611.06536] [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, Higher T-duality of super M-branes, arXiv:1803.05634 [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, The rational higher structure of M-theory, Fortsch. Phys. 67 (2019) 1910017 [arXiv:1903.02834] [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, Twisted cohomotopy implies M-theory anomaly cancellation on 8-manifolds, arXiv:1904.10207 [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, Twisted cohomotopy implies level quantization of the full 6d Wess-Zumino term of the M5-brane, arXiv:1906.07417 [INSPIRE].
E.S. Fradkin and A.A. Tseytlin, Nonlinear electrodynamics from quantized strings, Phys. Lett. 163B (1985) 123 [INSPIRE].
D. Gaiotto and A. Tomasiello, Holography for (1, 0) theories in six dimensions, JHEP 12 (2014) 003 [arXiv:1404.0711] [INSPIRE].
E. Gorbatov et al., On heterotic orbifolds, M-theory and type-I-prime brane engineering, JHEP 05 (2002) 015 [hep-th/0108135] [INSPIRE].
M.B. Green and J.H. Schwarz, Covariant description of superstrings, Phys. Lett. 136B (1984) 367 [INSPIRE].
P. Griffiths and J. Morgan, Rational homotopy theory and differential forms, Progress in Mathematics vol. 16, Birkhaüser, Switzerland (2013).
A. Güijosa, QCD, with strings attached, Int. J. Mod. Phys. E 25 (2016) 1630006 [arXiv:1611.07472] [INSPIRE].
V.W. Guillemin and S. Sternberg, Supersymmetry and equivariant de Rham theory, Springer, Germany (1999).
A. Hanany and A. Zaffaroni, Branes and six-dimensional supersymmetric theories, Nucl. Phys. B 529 (1998) 180 [hep-th/9712145] [INSPIRE].
A. Hanany and A. Zaffaroni, Issues on orientifolds: on the brane construction of gauge theories with SO(2N) global symmetry, JHEP 07 (1999) 009 [hep-th/9903242] [INSPIRE].
J.A. Harvey and G.W. Moore, Superpotentials and membrane instantons, hep-th/9907026 [INSPIRE].
H. Hayashi et al., More on 5d descriptions of 6d SCFTs, JHEP 10 (2016) 126 [arXiv:1512.08239] [INSPIRE].
J.J. Heckman and T. Rudelius, Top down approach to 6D SCFTs, J. Phys. A 52 (2019) 093001 [arXiv:1805.06467] [INSPIRE].
M. Henneaux and C. Teitelboim, Dynamics of chiral (self-dual) p-forms, Phys. Lett. B 206 (1988) 650.
K. Hess, Rational homotopy theory: a brief introduction, in Interactions between homotopy theory and algebra, L.L. Avramov ed., Contemporary Mathematics volume 436, AMS, U.S.A. (2007), math.AT/0604626.
P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven-dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [INSPIRE].
P. Hořava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B 475 (1996) 94 [hep-th/9603142] [INSPIRE].
P.S. Howe, Weyl superspace, Phys. Lett. B 415 (1997) 149 [hep-th/9707184] [INSPIRE].
P.S. Howe and E. Sezgin, D = 11, p = 5, Phys. Lett. B 394 (1997) 62 [hep-th/9611008] [INSPIRE].
P.S. Howe, E. Sezgin and P.C. West, Covariant field equations of the M-theory five-brane, Phys. Lett. B 399 (1997) 49 [hep-th/9702008] [INSPIRE].
P.S. Howe and E. Sezgin, The supermembrane revisited, Class. Quant. Grav. 22 (2005) 2167 [hep-th/0412245] [INSPIRE].
J. Huerta, H. Sati and U. Schreiber, Real ADE-equivariant (co)homotopy and Super M-branes, Commun. Math. Phys. 371 (2019) 425 [arXiv:1805.05987] [INSPIRE].
C.M. Hull, Generalised geometry for M-theory, JHEP 07 (2007) 079 [hep-th/0701203] [INSPIRE].
C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167] [INSPIRE].
B. Julia, Group disintegrations, talk given at the Nuffield Gravity Workshop, JUne 22–July 12, Cambridge, U.K. (1980).
B. Jurčo, C. Sämann, U. Schreiber and M. Wolf, Higher structures in M-Theory, Fortsch. Phys. 67 (2019) 1910001 [arXiv:1903.02807] [INSPIRE].
V. Kaplunovsky, J. Sonnenschein, S. Theisen and S. Yankielowicz, On the duality between perturbative heterotic orbifolds and M-theory on T4/ZN, Nucl. Phys. B 590 (2000) 123 [hep-th/9912144] [INSPIRE].
K. Koepsell, H. Nicolai and H. Samtleben, An exceptional geometry for D = 11 supergravity?, Class. Quant. Grav. 17 (2000) 3689 [hep-th/0006034] [INSPIRE].
N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, M5-branes, D4-branes and quantum 5D Super-Yang-Mills, JHEP 01 (2011) 083 [arXiv:1012.2882] [INSPIRE].
N. Lambert, M-branes: lessons from M2’s and Hopes for M5’s, Fortsch. Phys. 67 (2019) 1910011 [arXiv:1903.02825] [INSPIRE].
K. Lechner, Quantum properties of the heterotic five-brane, Phys. Lett. B 693 (2010) 323 [arXiv:1005.5719] [INSPIRE].
S.-W. Li, The theta-dependent Yang-Mills theory at finite temperature in a holographic description, Chin. Phys. C 44 (2020) 013103 [arXiv:1907.10277] [INSPIRE].
J. Lott, The geometry of supergravity torsion constraints, Comm. Math. Phys. 133 (1990) 563 [math/0108125].
V. Mathai and D.G. Quillen, Superconnections, Thom classes and equivariant differential forms, Topology 25 (1986) 85 [INSPIRE].
E. Meinrenken, Equivariant cohomology and the Cartan model, Encyclopedia of Mathematical Physics, Elsevier, The Netherlands (2006).
G. Moore, Applications of the six-dimensional (2, 0) theories to Physical Mathematics, Felix Klein lectures, Bonn, Germany (2012).
G. Moore, Physical mathematics and the future, talk given at Strings 2014, June 23–27, Princeton, U.S.A. (2014).
A. Neveu and J. Schwarz, Factorizable dual model of pions, Nucl. Phys. B 31 (1971) 86.
T. Nikolaus, U. Schreiber and D. Stevenson, Principal ∞-bundles — General theory, J. Homotopy Rel. Struc. 10 (2015) 749 [arXiv:1207.0248].
P. Pires Pacheco and D. Waldram, M-theory, exceptional generalised geometry and superpotentials, JHEP 09 (2008) 123 [arXiv:0804.1362] [INSPIRE].
P. Pasti, D.P. Sorokin and M. Tonin, On Lorentz invariant actions for chiral p forms, Phys. Rev. D 55 (1997) 6292 [hep-th/9611100] [INSPIRE].
P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for a D = 11 five-brane with the chiral field, Phys. Lett. B 398 (1997) 41 [hep-th/9701037] [INSPIRE].
M. Perry and J.H. Schwarz, Interacting chiral gauge fields in six-dimensions and Born-Infeld theory, Nucl. Phys. B 489 (1997) 47 [hep-th/9611065] [INSPIRE].
D. Quillen, Rational homotopy theory, Annals Math. 90 (1969) 205.
P. Ramond, Dual theory for free fermions, Phys. Rev. D 3 (1971) 2415 [INSPIRE].
A. Rebhan, The Witten-Sakai-Sugimoto model: A brief review and some recent results, EPJ Web Conf. 95 (2015) 02005 [arXiv:1410.8858] [INSPIRE].
C. Sämann, Higher Structures, Self-Dual Strings and 6d Superconformal Field Theories, in the proceedings of Durham Symposium, Higher Structures in M-theory, August 12–18, Durham, U.K. (2019), arXiv:1903.02888 [INSPIRE].
C. Sämann and L. Schmidt, Towards an M5-brane model I: a 6d superconformal field theory, J. Math. Phys. 59 (2018) 043502 [arXiv:1712.06623] [INSPIRE].
C. Sämann and L. Schmidt, Towards an M5-brane model II: metric string structures, arXiv:1908.08086 [INSPIRE].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [INSPIRE].
T. Sakai and S. Sugimoto, More on a holographic dual of QCD, Prog. Theor. Phys. 114 (2005) 1083 [hep-th/0507073] [INSPIRE].
M. Sakaguchi, IIB Branes and new space-time superalgebras, JHEP 04 (2000) 019 [hep-th/9909143] [INSPIRE].
H. Sati, Geometric and topological structures related to M-branes, Proc. Symp. Pure Math. 81 (2010) 181 [arXiv:1001.5020] [INSPIRE].
H. Sati, Geometric and topological structures related to M-branes II: Twisted String and Stringc structures, J. Austral. Math. Soc. 90 (2011) 93 [arXiv:1007.5419] [INSPIRE].
H. Sati, Framed M-branes, corners and topological invariants, J. Math. Phys. 59 (2018) 062304 [arXiv:1310.1060] [INSPIRE].
H. Sati and U. Schreiber, Higher T-duality in M-theory via local supersymmetry, Phys. Lett. B 781 (2018) 694 [arXiv:1805.00233] [INSPIRE].
H. Sati and U. Schreiber, Equivariant Cohomotopy implies tadpole anomaly cancellation, in preparation.
J.H. Schwarz, Coupling a selfdual tensor to gravity in six-dimensions, Phys. Lett. B 395 (1997) 191 [hep-th/9701008] [INSPIRE].
D.P. Sorokin, Superbranes and superembeddings, Phys. Rept. 329 (2000) 1 [hep-th/9906142] [INSPIRE].
D.P. Sorokin, Introduction to the superembedding description of superbranes, AIP Conf. Proc. 589 (2001) 98 [hep-th/0105102] [INSPIRE].
D.P. Sorokin, V.I. Tkach and D.V. Volkov, Superparticles, twistors and Siegel symmetry, Mod. Phys. Lett. A 4 (1989) 901 [INSPIRE].
S. Sugimoto, Skyrmion and String theory, in The multifaceted Skyrmion, M. Rho and I. Zahed eds., World Scientific, Singapore (2016).
D. Sullivan, Infinitesimal computations in topology, Pub. Math. IHES 47 (1977) 269.
P.K. Townsend, M theory from its superalgebra, NATO Sci. Ser. C 520 (1999) 141 [hep-th/9712004] [INSPIRE].
A.A. Tseytlin, Born-Infeld action, supersymmetry and string theory, hep-th/9908105 [INSPIRE].
P. van Nieuwenhuizen, Free graded differential superalgebras, in the proceedings of Group theoretical methods in physics, V.V. Dodonov and V.I. Man’ko eds., Springer, Germany (1990).
S. Vaula, On the underlying E11 symmetry of the D = 11 free differential Algebra, JHEP 03 (2007) 010 [hep-th/0612130] [INSPIRE].
P.C. West, E11, SL(32) and central charges, Phys. Lett. B 575 (2003) 333 [hep-th/0307098] [INSPIRE].
P. West, Generalised geometry, eleven dimensions and E11, JHEP 02 (2012) 018 [arXiv:1111.1642] [INSPIRE].
E. Witten, Twistor-like transform in ten-dimensions, Nucl. Phys. B 266 (1986) 245 [INSPIRE].
E. Witten, Solutions of four-dimensional field theories via M-theory, Nucl. Phys. B 500 (1997) 3 [hep-th/9703166] [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
E. Witten, Conformal Field Theory In Four And Six Dimensions, in the proceedings of Topology, geometry and quantum field theory. Symposium in the honour of the 60th birthday of Graeme Segal, June 24–29, Oxford, U.K. (2002), arXiv:0712.0157 [INSPIRE].