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Twining Genera of (0,4) Supersymmetric Sigma Models on K3 · Around

2013

Twining Genera of (0,4) Supersymmetric Sigma Models on K3

Harrison, Sarah, Kachru, Shamit, Paquette, Natalie M.

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Conformal field theories with (0,4) worldsheet supersymmetry and K3 target can be used to compactify the E8xE8 heterotic string to six dimensions in a supersymmetric manner.

The data specifying such a model includes an appropriate configuration of 24 gauge instantons in the E8xE8 gauge group to satisfy the constraints of anomaly cancellation.
In this note, we compute twining genera - elliptic genera with appropriate insertions of discrete symmetry generators in the trace - for (0,4) theories with various instanton embeddings.
We do this by constructing linear sigma models which flow to the desired conformal field theories, and using the techniques of localization.

Built on

M. Reid, “Canonical 3-folds,” J. de Geometrie algebrique d’Angers, A. Beauville ed., Sijthoff and Noordhoff, Alphen aan den Rijn, 1980, pp. 273-310
1980
Earlier work this paper cites.
A. N. Schellekens and N. P. Warner, “Anomalies And Modular Invariance In String Theory,” Phys. Lett. B 177
1986
Earlier work this paper cites.
K. Pilch, A. N. Schellekens and N. P. Warner, “Path Integral Calculation Of String Anomalies,” Nucl. Phys. B 287
1987
Earlier work this paper cites.
E. Witten, “Elliptic Genera And Quantum Field Theory,” Commun. Math. Phys. 109
1987
Earlier work this paper cites.
T. Eguchi and A. Taormina, “Unitary Representations Of N=4 Superconformal Algebra,” Phys. Lett. B 196
Original
1988
Earlier work this paper cites.
T. Eguchi, H. Ooguri, A. Taormina and S. -K. Yang, “Superconformal Algebras and String Compactification on Manifolds with SU(N) Holonomy,” Nucl. Phys. B 315
1989
Earlier work this paper cites.

Similar

E. Witten, “Phases of N=2 theories in two-dimensions,” Nucl. Phys. B 403
1993
Cited alongside, same era.
J. Distler and S. Kachru, “(0,2) Landau-Ginzburg theory,” Nucl. Phys. B 413
1994
Cited alongside, same era.
T. Kawai and K. Mohri, “Geometry of (0,2) Landau-Ginzburg orbifolds,” Nucl. Phys. B 425
1994
Cited alongside, same era.
E. Witten, “On the Landau-Ginzburg description of N=2 minimal models,” Int. J. Mod. Phys. A 9
1994
Cited alongside, same era.
S. Mukai, “Finite groups of automorphisms of K3 surfaces and the Mathieu group,” Invent. Math. 94
1998
Cited alongside, same era.
M. C. N. Cheng, “K3 Surfaces, N=4 Dyons, and the Mathieu Group M 24 M_{24} ,” Commun. Num. Theor. Phys. 4
Original

Then

M. R. Gaberdiel, S. Hohenegger and R. Volpato, “Mathieu twining characters for K3,” JHEP 1009
Original
2010
Later among the works it cites.
T. Eguchi, H. Ooguri and Y. Tachikawa, “Notes on the K3 Surface and the Mathieu group M 24 M_{24} ,” Exper. Math. 20
Original
2011
Later among the works it cites.
T. Eguchi and K. Hikami, “Note on Twisted Elliptic Genus of K3 Surface,” Phys. Lett. B 694
Original
2011
Later among the works it cites.
M.R. Gaberdiel, S. Hohenegger and R. Volpato, “Symmetries of K3 Sigma Models,” Comm. Num. Theor. Phys. 6
Original
2012
Later among the works it cites.
S. Govindarajan, “Brewing Moonshine for Mathieu,” arXiv:1012.5732 [math.NT]; S. Govindarajan, “Unravelling Mathieu Moonshine,” Nucl. Phys. B 864

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2010

Cited alongside, same era.

F. Benini, R. Eager, K. Hori and Y. Tachikawa, “Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups,” arXiv:1305.0533 [hep-th]

Cited in the paper.

F. Benini, R. Eager, K. Hori and Y. Tachikawa, “Elliptic genera of 2d N=2 gauge theories,” arXiv:1308.4896 [hep-th]

Cited in the paper.

T. Gannon, “Much ado about Mathieu,” arXiv:1211.5531 [math.RT]

Cited in the paper.

M. C. N. Cheng, X. Dong, J. Duncan, J. Harvey, S. Kachru and T. Wrase, “Mathieu Moonshine and N=2 String Compactifications,” arXiv:1306.4981 [hep-th]

Cited in the paper.

To appear

Cited in the paper.

J. Distler, “Notes on (0,2) superconformal field theories,” hep-th/9502012

Cited in the paper.

2012

Later among the works it cites.