Calculating the Superconformal Index and Seiberg Duality

作者: Christian Romelsberger

DOI:

关键词:

摘要: We develop techniques to calculate an index for four dimensional superconformal field theories. This is counting BPS operators which preserve only one supercharge. To the we quantize theory on S^3 X R and show that twisted has appropriate mass gap. allows interactions be switched off continuously without being changed. test those theories go through a non-trivial RG flow Seiberg dual leads conjecture of some group/number theoretical identities.

参考文章(33)
Davide Forcella, BPS partition functions for quiver gauge theories: Counting fermionic operators arXiv: High Energy Physics - Theory. ,(2007)
Jerome P. Gauntlett, Dario Martelli, James Sparks, Daniel Waldram, Sasaki-Einstein Metrics on S^2 x S^3 Advances in Theoretical and Mathematical Physics. ,vol. 8, pp. 711- 734 ,(2004) , 10.4310/ATMP.2004.V8.N4.A3
Yu Nakayama, Index for supergravity on AdS5×T1,1 and conifold gauge theory Nuclear Physics. ,vol. 755, pp. 295- 312 ,(2006) , 10.1016/J.NUCLPHYSB.2006.08.012
Christian Römelsberger, Counting chiral primaries in , superconformal field theories Nuclear Physics B. ,vol. 747, pp. 329- 353 ,(2006) , 10.1016/J.NUCLPHYSB.2006.03.037
F.A. Dolan, Counting BPS operators in N=4 SYM Nuclear Physics. ,vol. 790, pp. 432- 464 ,(2008) , 10.1016/J.NUCLPHYSB.2007.07.026
David Berenstein, A toy model for the AdS/CFT correspondence Journal of High Energy Physics. ,vol. 2004, pp. 018- 018 ,(2004) , 10.1088/1126-6708/2004/07/018
Chris E. Beasley, BPS Branes From Baryons Journal of High Energy Physics. ,vol. 2002, pp. 015- 015 ,(2002) , 10.1088/1126-6708/2002/11/015
Raoul Bott, Loring W. Tu, Differential Forms in Algebraic Topology ,(1982)
Ofer Aharony, Joseph Marsano, Shiraz Minwalla, Kyriakos Papadodimas, Mark Van Raamsdonk, The Hagedorn - deconfinement phase transition in weakly coupled large N gauge theories Advances in Theoretical and Mathematical Physics. ,vol. 8, pp. 603- 696 ,(2004) , 10.4310/ATMP.2004.V8.N4.A1
Ken Intriligator, Brian Wecht, The exact superconformal R-symmetry maximizes a Nuclear Physics. ,vol. 667, pp. 183- 200 ,(2003) , 10.1016/S0550-3213(03)00459-0