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duality between heterotic and type II string theory in nLab

Contents

Context

Duality in string theory

duality in string theory

general mechanisms

string-fivebrane duality

dual heterotic string theory

string-string dualities

M - IIA.
M- IIB

string-QFT duality

QFT-QFT duality:

effective QFT incarnations of open/closed string duality,

relating (super-)gravity to (super-)Yang-Mills theory:
Kramers-Wannier duality
Seiberg duality (swapping NS5-branes)
AGT correspondence (wrapped M5-branes)
3d-3d correspondence (wrapped M5-branes)

String theory

Ingredients

Critical string models

Extended objects

brane
D-brane
- D0-brane, D2-brane, D4-brane
- D1-brane, D3-brane, D5-brane
- RR-field, differential K-theory
NS-brane
- string, sigma-model
  - spinning string, superstring
  - B2-field
- NS5-brane
  - B6-field
M-brane
- M2-brane
  - C3-field
  - ABJM theory, BLG model
- M5-brane
  - C6-field
  - 6d (2,0)-supersymmetric QFT

Topological strings

Backgrounds

Phenomenology

string phenomenology
- moduli stabilization
- G₂-MSSM

Contents

Idea

A duality in string theory relating heterotic string theory to type II string theory via KK-compactification on K3-surfaces. This is the archetypical example of string-string duality.

The non-perturbative enhancement of this is duality between heterotic string theory and M/F-theory.

References

Precursor articles:

Paul Townsend, A New Anomaly Free Chiral Supergravity Theory From Compactification on K3, Phys.Lett. 139B (1984) 283-287 (spire:14293)
Michael Green, John Schwarz Peter West, Anomaly-free chiral theories in six dimensions, Nuclear Physics B Volume 254, 1985, Pages 327-348 (doi:10.1016/0550-3213(85)90222-6)

Original articles

Michael Duff, Ruben Minasian, Putting string/string duality to the test, Nucl.Phys. B436 (1995) 507-528 (arXiv:hep-th/9406198)
Chris Hull, Paul Townsend, Section 6 of Unity of Superstring Dualities, Nucl.Phys.B438:109-137, 1995 (arXiv:hep-th/9410167)
Ashoke Sen, String string duality conjecture in six dimensions and charged solitonic strings, Nucl.Phys.B450:103-114, 1995 (arXiv:hep-th/9504027)
K. Davis, M-Theory and String-String Duality (arXiv:hep-th/9601102)

Survey:

Paul Aspinwall, K3 Surfaces and String Duality (arXiv:hep-th/9611137)

Specifically in view of moonshine:

S. Chaudhuri, D.A. Lowe, Monstrous String-String Duality, Nucl.Phys.B469:21-36, 1996 (arXiv:hep-th/9512226)
Miranda Cheng, Sarah M. Harrison, Roberto Volpato, Max Zimet, K3 String Theory, Lattices and Moonshine, Research in the Mathematical Sciences 2018 5:32 (arXiv:1612.04404, doi:10.1007/s40687-018-0150-4)

Relation to little string theory:

Ofer Aharony, Bartomeu Fiol, David Kutasov, David A. Sahakyan, Little String Theory and Heterotic/Type II Duality, Nucl. Phys. B679:3-65, 2004 (arXiv:hep-th/0310197)

Further developments:

I. Antoniadis, E. Gava, K.S. Narain, T.R. Taylor, N=2 Type II- Heterotic duality and Higher derivative F-terms (arXiv:hep-th/9507115)
Oren Bergman, Matthias Gaberdiel, Non-BPS States in Heterotic - Type IIA Duality (arXiv:hep-th/9901014)
Jan Louis, Roberto Valandro, Heterotic-Type II duality in the hypermultiplet sector, JHEP05 (2012) 016 (arXiv:1112.3566)
Sergei Alexandrov, Boris Pioline, Heterotic-type II duality in twistor space (arXiv:1210.3037)
Eric Bergshoeff, C. Condeescu, G. Pradisi, F. Riccioni, Heterotic-Type II duality and wrapping rules, JHEP12(2013) 057 (arXiv:1311.3578)
Sergei Alexandrov, Jan Louis, Boris Pioline, Roberto Valandro, N=2 Heterotic-Type II duality and bundle moduli, JHEP08 (2014) 092 (arXiv:1405.4792)
Andreas Braun, Taizan Watari, Heterotic-Type IIA Duality and Degenerations of K3 Surfaces, JHEP08 (2016) 034 (arXiv:1604.06437)

Last revised on May 18, 2019 at 19:02:54. See the history of this page for a list of all contributions to it.