Results 1 
6 of
6
The partition function of ABJ theory
, 2013
"... We study the partition function of the N = 6 supersymmetric U(N1)k × U(N2)−k ChernSimonsmatter (CSM) theory, also known as the ABJ theory. For this purpose, we first compute the partition function of the U(N1)×U(N2) lens space matrix model exactly. The result can be expressed as a product of qdef ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
We study the partition function of the N = 6 supersymmetric U(N1)k × U(N2)−k ChernSimonsmatter (CSM) theory, also known as the ABJ theory. For this purpose, we first compute the partition function of the U(N1)×U(N2) lens space matrix model exactly. The result can be expressed as a product of qdeformed Barnes Gfunction and a generalization of multiple qhypergeometric function. The ABJ partition function is then obtained from the lens space partition function by analytically continuing N2 to −N2. The answer is given by min(N1, N2)dimensional integrals and generalizes the “mirror description ” of the partition function of the ABJM theory, i.e. the N = 6 supersymmetric U(N)k × U(N)−k CSM theory. Our expression correctly reproduces perturbative expansions and vanishes for N1 − N2 > k in line with the conjectured supersymmetry breaking, and the Seiberg duality is explicitly checked for a class of nontrivial examples.
Instanton Effects in ABJM Theory from Fermi Gas Approach, JHEP 1301 (2013) 158, [arXiv:1211.1251
 Instanton Bound States in ABJM Theory, JHEP 1305 (2013) 054, [arXiv:1301.5184
"... ar ..."
WITSCTP106 From Schurs to Giants in ABJ(M)
"... In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4 × CP3 as well as sheds more light on giant ..."
Abstract
 Add to MetaCart
In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4 × CP3 as well as sheds more light on giant graviton solutions in this background with additional NS Bfield. Our main tool is a formula that we derive for extremal npoint functions of the single trace chiral primary operators in the free field theory limit. The formula expresses the correlators in terms of the twopoint function of Schur polynomials labeled by hook diagrams and is valid for a large class of gauge theories. In particular, in N = 4 SYM, it proves the conjecture of [1].
Preprint typeset in JHEP style PAPER VERSION Membrane
"... instantons from a semiclassical TBA ..."
(Show Context)