Closed string tachyons, non-supersymmetric orbifolds and generalised McKay Correspondence

Advances in Theoretical and Mathematical Physics

Volumn 7, Issue 1, 2003, Pages 121-144

  He, Yang Hui ^a,b,c  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^c HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18644384666     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2003.v7.n1.a5     Document Type: Article

References (50)

1. A. Adams, J. Polchinski and E. Silverstein, "Don't panic! Closed string tachyons in ALE space-times," JHEP 0110, 029 (2001).
2. A. Dabholkar, "On condensation of closed-string tachyons," Nucl. Phys. B 639, 331 (2002).
3. T. Takayanagi, "Tachyon condensation on orbifolds and McKay correspondence," Phys. Lett. B 519, 137 (2001).
4. C. Vafa, "Mirror symmetry and closed string tachyon condensation,".
5. J. A. Harvey, D. Kutasov, E. J. Martinec and G. Moore, "Localized tachyons and RG flows,".
6. Y. Michishita and P. Yi, "D-brane probe and closed string tachyons," Phys. Rev. D 65, 086006 (2002).
7. A. Font and A. Hernandez, "Non-supersymmetric orbifolds," Nucl. Phys. B 634, 51 (2002).
8. R. Rabadan and J. Simon, "M-theory lift of brane-antibrane systems and localised closed string tachyons," JHEP 0205, 045 (2002).
9. A. M. Uranga, "Localized instabilities at conifolds,".
10. A. Basu, "Localized tachyons and the g(cl) conjecture," JHEP 0207, 011 (2002).
11. T. Sarkar, "Brane probes, toric geometry, and closed string tachyons,".
12. A. Sen, "Time evolution in open string theory," JHEP 0210, 003 (2002).
13. T. Suyama, "Closed string tachyons and RG flows," JHEP 0210, 051 (2002).
14. D. Tong, "Comments on Condensates in Non-Supersymmetric Orbifold Field Theories,".
15. E. J. Martinec and G. Moore, "On decay of K-theory,".
16. Adi Armoni, Esperanza Lopez, Angel M. Uranga, "Closed Strings Tachyons and Non-Commutative Instabilities.
17. W. Fulton, "Introduction to Toric Varieties," Princeton University Press, 1993.
18. B. Feng, A. Hanany and Y.-H. He, "D-Brane Gauge Theories from Toric Singularities and Toric Duality," Nucl.Phys. B595 (2001) 165-200.
19. B. Feng, S. Franco, A. Hanany, Y.-H. He, "Unhiggsing the del Pezzo".
20. A. Hanany and Y.-H. He, "Non-Abelian Finite Gauge Theories,".
21. T. Muto, "D-branes on Three-dimensional Nonabelian Orbifolds,".
22. A. Hanany and Y.-H. He, "A Monograph on the Classification of the Discrete Subgroups of SU(4),".
23. k' Brane Box Model,", JHEP 9909 (1999) 011.
24. B. Feng, A. Hanany and Y.-H. He, "Z-D Brane Box Models and Non-Chiral Dihedral Quivers,", in "Many Faces of the Superworld: the Golfand Memorial volume.".
25. M. Douglas and G. Moore, "D-branes, Quivers, and ALE Instantons,".
26. A. Lawrence, N. Nekrasov and C. Vafa, "On Conformal Field Theories in Four Dimensions,".
27. Clifford V. Johnson, Robert C. Myers, "Aspects of Type IIB Theory on ALE Spaces,".
28. F. Klein, "Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade," Leipzeig, 1884.
29. Y.-H. He and J. S. Song, "Of McKay Correspondence, Non-linear Sigma-model and Conformal Field Theory,".
30. P. di Francesco and J.-B. Zuber, SU(N) Lattice Integrable Models Associated with Graphs. Nuclear Physics B, 338, 1990, pp602-646.
31. W. Lerche, P. Mayr, J. Walcher, "A new kind of McKay correspondence from non-Abelian gauge theories,".
32. Y.-H. He, "G2 Quivers,".
33. Y.-H. He, "On algebraic singularities, Finite graphs and D-brane gauge theories: A string theoretic perspective,".
34. Yang-Hui He, "Some Remarks on the Finitude of Quiver Theories,".
35. J..S. Song, "Three-Dimensional Gorenstein Singularities and SU(3) Modular Invariants,".
36. Bo Feng, Amihay Hanany, Yang-Hui He, Nikolaos Prezas, "Discrete Torsion, Non-Abelian Orbifolds and the Schur Multiplier,".
37. Bo Feng, "Discrete Torsion, Covering Groups and Quiver Diagrams,".
38. E. Sharpe, "Discrete Torision, Quotient Stacks and String Orbifolds,".
39. David Berenstein, Vishnu Jejjala, Robert G. Leigh.
40. J. McKay, "Graphs, Singularities, and Finite Groups," Proc. Symp. Pure Math. Vol 37, 183-186 (1980).
41. M. Reid, McKay Correspondence.
42. Yukari Ito and Iku Nakamura, "Hilbert schemes and simple singularities," in New trends in Algebraic Geometry (Warwick, Jun 1996), K. Hulek et al. Eds., CUP (1999).
43. A. Ishii, "On the McKay Correspondence for a Finite Small Subgroup of GL(2; C)," J. für die Reine und Angewandte Math.
44. E. Brieskorn: Rationale Singulariẗaten komplexer Flächen. Inv. Math. 4, 336-358 (1968).
45. O. Riemenschneider, "Die Invarianten der endlichen Untergruppen von GL(2; C)," Math. Zeitsch. 153, 37-50 (1977).
46. K. Behnke and O. Riemenschneider, "Quotient surface singularities and their deformations," in Singularity Theory" Proc. of the summer school on singularities held at Trieste, Ed. Le, Saito and Teissier World Scientific, 1995.
47. D. Prill, "Local Classification of Quotient Complex Manifolds by Discontinuous Groups," Duke Math J. 34, 375-386 (1967).
48. E. Gottschling, "Die Uniformisierbarkeit der Fixpunkte eigentlich diskontinuierlicher Gruppen von biholomorphen Abbildungen," Math. Ann. 169, 26-54 (1967).
49. E. Gottschling, "Invarianten endlicher Gruppen und biholomorphe Abbildungen," Inv. Math. 6, 315-326 (1969).
50. O. Riemenschneider, "Special Representations and the Two-Dimensional McKay Correspondence," Hokkaido Math. J., 2002.