Discrete torsion, covering groups and Quiver diagrams

Journal of High Energy Physics

Volumn 5, Issue 4, 2001, Pages

  Feng, Bo ^a   Hanany, Amihay ^a   He, Yang Hui ^a   Prezas, Nikolaos ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Brane dynamics in gauge theories; D branes; Discrete and finite symmetries

Indexed keywords

EID: 33744751236     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/04/037     Document Type: Article

References (40)

1. B. Feng, A. Hanany, Y.-H. He and N. Prezas, Discrete torsion, non-abelian orbifolds and the schür multiplier, J. High Energy Phys. 01 (2001) 033 [hep-th/0010023].
2. C. Vafa, Modular invariance and discrete torsion on orbifolds, Nucl. Phys. B 273 (1986) 592.
3. C. Vafa and E. Witten, On orbifolds with discrete torsion, J. Geom. Phys. 15 (1995) 189-214 [hep-th/9409188].
4. M.R. Douglas and B. Fiol, D-branes and discrete torsion II, hep-th/9903031.
5. D. Berenstein and R.G. Leigh, Discrete torsion, AdS/CFT and duality, J. High Energy Phys. 01 (2000) 038 [hep-th/0001055].
6. D. Berenstein, V. Jejjala and R.G. Leigh, Marginal and relevant deformations of N = 4 field theories and non-commutative moduli spaces of vacua, Nucl. Phys. B 589 (2000) 196 [hep-th/0005087] ;
7. Noncommutative moduli spaces and t duality, Phys. Lett. B 493 (2000) 162 [hep-th/0006168];
8. D. Berenstein and R.G. Leigh, Non-commutative Calabi-Yau manifolds, Phys. Lett. B 499 (2001) 207 [hep-th/0009209].
9. S. Mukhopadhyay and K. Ray, D-branes on four folds with discrete torsion, Nucl. Phys. B 576 (2000) 152 [hep-th/9909107].
10. M. Klein and R. Rabadan, Orientifolds with discrete torsion, J. High Energy Phys. 07 (2000) 040 [hep-th/0002103]; ℤ(N) × ℤ(M)
11. orientifolds with and without discrete torsion, J. High Energy Phys. 10 (2000) 049 [hep-th/0008173].
12. K. Dasgupta, S. Hyun, K. Oh and R. Tatar, Conifolds with discrete torsion and noncommutativity, J. High Energy Phys. 09 (2000) 043 [hep-th/0008091].
13. M.R. Gaberdiel, Discrete torsion orbifolds and D-branes, J. High Energy Phys. 11 (2000) 026 [hep-th/0008230].
14. E.R. Sharpe, Discrete torsion and gerbes I, hep-th/9909108;
15. Discrete torsion and gerbes II, hep-th/9909120;
16. Discrete torsion, hep-th/0008154;
17. Analogues of discrete torsion for the M-theory three-form, hep-th/0008170;
18. Discrete torsion in perturbative heterotic string theory, hep-th/0008184;
19. Recent developments in discrete torsion, Phys. Lett. B 498 (2001) 104 [hep-th/0008191].
20. J. Gomis, D-branes on orbifolds with discrete torsion and topological obstruction, J. High Energy Phys. 05 (2000) 006 [hep-th/0001200].
21. P.S. Aspinwall and M.R. Plesser, D-branes, discrete torsion and the McKay correspondence, J. High Energy Phys. 02 (2001) 009 [hep-th/0009042].
22. P.S. Aspinwall, A note on the equivalence of Vafa's and Douglas's picture of discrete torsion, J. High Energy Phys. 12 (2000) 029 [hep-th/0009045].
23. S. Dulat and K. Wendland, Crystallographic orbifolds: towards a classification of unitary conformai field theories with central charge c = 2, J. High Energy Phys. 06 (2000) 012 [hep-th/0002227].
24. R. Dijkgraaf, Discrete torsion and symmetric products, hep-th/9912101;
25. P. Bantay, Symmetric products, permutation orbifolds and discrete torsion, hep-th/0004025.
26. A.E. Lawrence, N. Nekrasov and C. Vafa, On conformai field theories in four dimensions, Nucl. Phys. B 533 (1998) 199 [hep-th/9803015].
27. G. Karpilovsky, Group Representations, vol. II, Elsevier Science Pub. 1993.
28. P. Huffman and J. Humphreys, Projective representations of the symmetric groups, Clarendeon, Oxford 1992.
29. J. Humphreys, A characterization of the projective characters of a finite group, Bull. London Math. Soc., 9 (1977);
30. J. Haggarty and J. Humphreys, Projective characters of finite groups, Proc. London Math. Soc. 3 (1978) 36.
31. A. Hanany and Y.-H. He, Non-abelian finite gauge theories, J. High Energy Phys. 02 (1999) 013 [hep-th/9811183].
32. T. Muto, Brane configurations for three-dimensional nonabelian orbifolds, hep-th/9905230.
33. Private communications with J. Humphreys.
34. B. Feng, A. Hanany, Y.-H. He and N. Prezas, Stepwise projection: toward brane setups for generic orbifold singularities, hep-th/0012078.
35. B. Feng, A. Hanany and Y.-H. He, Z-d brane box models and non-chiral dihedral quivers, hep-th/9909125; in The many faces of the super-world, World Scientific, Singapore, 2000;
36. k′ brane box model, J. High Energy Phys. 09 (1999) Oil [hep-th/9906031].
37. B. Feng, A. Hanany and Y.-H. He, D-brane gauge theories from toric singularities and toric duality, Nucl. Phys. B 595 (2001) 165 [hep-th/0003085].
38. M. Billo, B. Craps and F. Roose, Orbifold boundary states from Cardy's condition, J. High Energy Phys. 01 (2001) 038 [hep-th/0011060].
39. B. Craps and M.R. Gaberdiel, Discrete torsion orbifolds and D-branes. II, J. High Energy Phys. 04 (2001) 013 [hep-th/0101143].
40. The GAP Group, GAP-Groups, algorithms, and programming, Version4-2, Aachen, St Andrews 2000, http://www-gap.dcs.st-and.ac.uk/~gap