Cluster decomposition, T-duality, and gerby CFTs

Advances in Theoretical and Mathematical Physics

Volumn 11, Issue 5, 2007, Pages 751-818

  Hellerman, Simeon ^a   Henriques, André ^b   Pantev, Tony ^c   Sharpe, Eric ^d   Ando, Matt ^e  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

^b UNIVERSITY OF MÜNSTER   (Germany)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

^d UNIVERSITY OF UTAH   (United States)

^e UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 39049138720     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2007.v11.n5.a2     Document Type: Article

References (38)

1. T. Pantev and E. Sharpe, Notes on gauging noneffective group actions, hep-th/0502027.
2. T. Pantev and E. Shaxpe, String compactifications on Calabi-Yau stacks, hep-th/0502044.
3. T. Pantev and E. Sharper, GLSM's for gerbes (and other toric stacks), hep-th/0502053.
4. N. Hitchin, Lectures on special Lagrangian submanifolds, math.DG/ 9907034.
5. E. Sharpe, Discrete torsion, Phys. Rev. D68 (2003) 126003, hep-th/0008154.
6. E. Sharpe, Recent developments in discrete torsion, 10 Phys. Lett. B498 (2001), 104-110, hep-th/0008191.
7. P. di Francesco, P. Mathieu and D. Sénæcchal, Conformal field theory, Springer, 1997.
8. C. Vafa and E. Witten, On orbifolds with discrete torsion, hep-th/ 9409188.
9. S. Katz, T. Pantev and E. Sharpe, D-branes, orbifolds, and Ext groups, hep-th/0212218.
10. P. Aspinwall and S. Katz, Computation of superpotentials for D-branes, Comm. Math. Phys. 264 (2006), 227-253, hep-th /0412209.
11. M. Penkava and A. Schwarz, A∞ algebras and the cohomology of moduli spaces, hep-th/9408064.
12. D. Morrison and R. Plesser, Towards mirror symmetry as duality for two-dimensional abelian gauge theories, Nucl. Phys. Proc. Suppl. 46 (1996), 177-186, hep-th/9508107.
13. K. Hori and C. Vafa, Mirror symmetry, hep-th/0002222.
14. P. Candelas, X. de la Ossa, P. Green and L. Parkes, A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory, in Mirror Symmetry I, ed. S.-T. Yau, American Mathematical Society, 1998, 31-95.
15. R. Donagi and T. Pantev, Torus fibrations, gerbes, and duality, math.AG/0306213.
16. P. Bouwknegt, J. Evslin and V. Mathai, T duality: topology change from H flux, Comm. Math. Phys. 249 (2004), 383-415, hep-th/ 0306062.
17. D. Abramovich, T. Graber and A. Vistoli, Algebraic orbifold quantum products, math.AG/0112004.
18. T. Graber, private communication, spring 2005.
19. P. Griffiths and J. Harris, Principles of algebraic geometry, John Wiley, 1978.
20. I. Moerdijk, Orbifolds as groupoids: an introduction, in 'Orbifolds in Mathematics and Physics', Madison, WI, 2001, American Mathematical Society, Providence, Rhode Island, 2002, Contemp. Math., 310, 2002, 205-222, math.DG/0203100.
21. J. Distler, S. Hellerman, in preparation.
22. H. Clemens, Double solids, Adv. in Math. 47 (1983), 107-230.
23. S. Cynk and C. Meyer, Geometry and arithmetic of certain double octic Calabi-Yau manifolds, math. AG/0304121.
24. A. Kapustin and E. Witten, Electric-magnetic duality and the geometric Langlands program, hep-th/0604151.
25. R. Donagi and T. Pantev, Langlands duality for Hitchin systems, math.AG/0604617.
26. M. Strassler, Duality, phases, spinors, and monopoles in SO(N) and Spin(N) gauge theories, hep-th/9709081.
27. J. Haxvey, D. Kutasov, E. Martinec and G. Moore, Localized tachyons and RG flows, hep-th/01 11154.
28. A. Adams, J. Polchinski and E. Silverstein, Don't panic! Closed string tachyons in ALE spacetimes, hep-th/0108075.
29. E. Sharpe, String orbifolds and quotient stacks, Nucl. Phys. B627 (2002), 445-505, hep-th/0102211.
30. E. Witten, Some comments on string dynamics, hep-th/9507121.
31. P. Aspinwall, Enhanced gauge symmetries and K3 surfaces, hep-th/ 9507012.
32. H. Georgi, Lie algebras in particle physics, second edition, Perseus Books, Reading, Massachusetts, 1999.
33. W. Fulton and J. Harris, Representation theory, Springer-Verlag, New York, 1991.
34. G. Laumon and L. Moret-Bailly, Champs algebriques (French), Ergebnisse der Mathematik und ihrer Grenzgebiete, 39, Springer-Verlag, 2000.
35. J. Giraud, Cohomologie non abelienne (French), Die Grundlehren mathernatischen Wissenschaften, 179, Springer-Verlag, 1971.
36. M. Atiyah and G. Segal, Twisted K-theory, math.KT/0407054.
37. J. Rosenberg, C*-algebras and Mackey's theory of group representations, in 'C*-algebras: 1943-1993, San Antonio, TX, 1993, Contemp. Math., 167, Amer. Math. Soc., Providence, RI, 1994, 150-181.
38. G. Segal, Equivariant K-theory, Inst. Hautes Études Sci. Publ. Math. 34 (1968), 129-151.