Finite Heisenberg groups from non-Abelian orbifold quiver gauge theories

Nuclear Physics B

Volumn 794, Issue 1-2, 2008, Pages 324-347

  Burrington, Benjamin A ^a   Liu, James T ^b   Pando Zayas, Leopoldo A ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

AdS CFT; Gauge string duality; Global symmetries; Heisenberg groups; Orbifolds; Quiver gauge theories

Indexed keywords

EID: 38649117906     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2007.11.004     Document Type: Article

References (25)

1. Gukov S., Rangamani M., and Witten E. Dibaryons, strings, and branes in AdS orbifold models. JHEP 9812 (1998) 025. hep-th/9811048
2. Freed D.S., Moore G.W., and Segal G. The uncertainty of fluxes. Commun. Math. Phys. 271 (2007) 247. hep-th/0605198
3. Freed D.S., Moore G.W., and Segal G. Heisenberg groups and noncommutative fluxes. Ann. Phys. 322 (2007) 236. hep-th/0605200
4. Burrington B.A., Liu J.T., and Pando Zayas L.A. Finite Heisenberg groups in quiver gauge theories. Nucl. Phys. B 747 (2006) 436. hep-th/0602094
5. Burrington B.A., Liu J.T., and Pando Zayas L.A. Central extensions of finite Heisenberg groups in cascading quiver gauge theories. Nucl. Phys. B 749 (2006) 245. hep-th/0603114
6. Burrington B.A., Liu J.T., Mahato M., and Pando Zayas L.A. Finite Heisenberg groups and Seiberg dualities in quiver gauge theories. Nucl. Phys. B 757 (2006) 1. hep-th/0604092
7. Kachru S., and Silverstein E. 4d conformal theories and strings on orbifolds. Phys. Rev. Lett. 80 (1998) 4855. hep-th/9802183
8. Lawrence A.E., Nekrasov N., and Vafa C. On conformal field theories in four dimensions. Nucl. Phys. B 533 (1998) 199. hep-th/9803015
9. Morrison D.R., and Plesser M.R. Non-spherical horizons. I. Adv. Theor. Math. Phys. 3 (1999) 1. hep-th/9810201
10. Douglas M.R., and Moore G.W. D-branes, quivers, and ALE Instantons. hep-th/9603167
11. Douglas M.R., Greene B.R., and Morrison D.R. Orbifold resolution by D-branes. Nucl. Phys. B 506 (1997) 84. hep-th/9704151
12. Douglas M.R., and Greene B.R. Metrics on D-brane orbifolds. Adv. Theor. Math. Phys. 1 (1998) 184. hep-th/9707214
13. Hatcher A. Algebraic Topology (2002), Cambridge Univ. Press, Cambridge. http://www.math.cornell.edu/~hatcher/AT/ATpage.html online at
14. Dixon L.J., Harvey J.A., Vafa C., and Witten E. Strings on orbifolds. 2. Nucl. Phys. B 274 (1986) 285
15. Blichfeldt H.F. Finite Collineation Groups (1917), University of Chicago Press, Chicago
16. Hanany A., and He Y.H. Non-Abelian finite gauge theories. JHEP 9902 (1999) 013. hep-th/9811183
17. Feng B., Hanany A., He Y.H., and Prezas N. Discrete torsion, non-Abelian orbifolds and the Schur multiplier. JHEP 0101 (2001) 033. hep-th/0010023
18. Feng B., Hanany A., He Y.H., and Prezas N. Discrete torsion, covering groups and quiver diagrams. JHEP 0104 (2001) 037. hep-th/0011192
19. Muto T. D-branes on three-dimensional non-Abelian orbifolds. JHEP 9902 (1999) 008. hep-th/9811258
20. Muto T. Brane cube realization of three-dimensional non-Abelian orbifolds. JHEP 0002 (2000) 026. hep-th/9912273
21. Muto T. Brane configurations for three-dimensional non-Abelian orbifolds. hep-th/9905230
22. Verlinde H., and Wijnholt M. Building the standard model on a D3-brane. JHEP 0701 (2007) 106. hep-th/0508089
23. Evslin J. What does(n't) K-theory classify?. hep-th/0610328
24. Bovier A., Luling M., and Wyler D. Finite subgroups of SU (3). J. Math. Phys. 22 (1981) 1543
25. 3 and their applications to the elementary particle spectrum. J. Math. Phys. 5 (1964) 1038