Abelian duality, walls and boundary conditions in diverse dimensions

Journal of High Energy Physics

Volumn 2009, Issue 11, 2009, Pages

  Kapustin, Anton ^a   Tikhonov, Mikhail ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Chern simons theories; D branes; Duality in gauge field theories

Indexed keywords

EID: 70449879670     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/11/006     Document Type: Article

References (15)

1. M.V. Berry, 1984 Quantal phase factors accompanying adiabatic changes Proc. Roy. Soc. Lond. A 392 45
2. J. Fuchs, C. Schweigert and K. Waldorf, 2008 Bi-branes: Target space geometry for world sheet topological defects, J. Geom. Phys. 58 576 [hep-th/0703145]
3. J. Fuchs, M.R. Gaberdiel, I. Runkel and C. Schweigert, 2007 Topological defects for the free boson CFT, J. Phys. A 40 11403 [0705.3129]
4. D. Gaiotto and E. Witten, S-duality of Boundary Conditions In N=4 Super Yang-Mills Theory, [0807.3720]
5. K. Gawedzki, 1988 Topological actions in two-dimensional quantum field theories, in Nonperturbative quantum field theories, eds. G. 't Hooft, A. Jaffe, G. Mack, P.K. Mitter and R. Stora, NATO series 185, Plenum Press p. 101-141
6. P.B. Gilkey, 1984 Invariance theory, the heat equation and the Atiyah-Singer index theorem, Publish or Perish, Wilmington
7. P.B. Gilkey, J.V. Leahy and J. Park, 1998 Spinors, spectral geometry and Riemannian submersions Lecture Notes Series 40, Research Institute of Mathematics, Global Analysis Research Center, Seoul National University, available at the EMIS server http://www.emis.de/monographs/GLP/index.html
8. S. Gukov and E. Witten, Gauge theory, ramification and the geometric Langlands program, [hep-th/0612073]
9. A. Kapustin, 2000 D-branes in a topologically nontrivial B-field Adv. Theor. Math. Phys. 4 127 [hep-th/9909089]
10. A. Kapustin and E. Witten, Electric-magnetic duality and the geometric Langlands program, [hep-th/0604151]
11. L. Rozansky and E. Witten, 1997 Hyper-Kähler geometry and invariants of three-manifolds, Selecta Math. 3 401 [hep-th/9612216]
12. G. Sarkissian and C. Schweigert, 2009 Some remarks on defects and T-duality, Nucl. Phys. B 819 478 [0810.3159]
13. B. Simon, 1983 Holonomy, the quantum adiabatic theorem and Berry's phase, Phys. Rev. Lett. 51 2167
14. E. Witten, SL(2,Z) action on three-dimensional conformal field theories with Abelian symmetry, [hep-th/0307041]
15. R. Zucchini, 2005 Four dimensional Abelian duality and SL(2,) action in three dimensional conformal field theory, Adv. Theor. Math. Phys. 8 895 [hep-th/0311143]