Results 11  20
of
46
SNUTP10008 Holography of massdeformed M2branes
"... We find and study the gravity duals of the supersymmetric vacua of N = 6 massdeformed ChernSimonsmatter theory for M2branes. The classical solution extends that of Lin, Lunin and Maldacena by introducing a Zk quotient and discrete torsions. The gravity vacua perfectly map to the recently identif ..."
Abstract

Cited by 5 (0 self)
 Add to MetaCart
(Show Context)
We find and study the gravity duals of the supersymmetric vacua of N = 6 massdeformed ChernSimonsmatter theory for M2branes. The classical solution extends that of Lin, Lunin and Maldacena by introducing a Zk quotient and discrete torsions. The gravity vacua perfectly map to the recently identified supersymmetric field theory vacua. We calculate the masses of BPS charged particles in the weakly coupled field theory, which agree with the classical open membrane analysis when both calculations are reliable. We also comment on how nonrelativistic conformal symmetry is realized in our gravity duals in a nongeometric way. ar X iv
Free Energy vs SasakiEinstein Volume for Infinite Families of M2Brane Theories
"... Abstract: We investigate infinite families of 3d N = 2 superconformal ChernSimons quivers with an arbitrarily large number of gauge groups arising on M2branes over toric CY4’s. These theories have the same matter content and superpotential of those on D3branes probing cones over La,b,a SasakiEin ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
(Show Context)
Abstract: We investigate infinite families of 3d N = 2 superconformal ChernSimons quivers with an arbitrarily large number of gauge groups arising on M2branes over toric CY4’s. These theories have the same matter content and superpotential of those on D3branes probing cones over La,b,a SasakiEinstein manifolds. For all these infinite families, we explicitly show the correspondence between the free energy F on S3 and the volume of the 7dimensional base of the associated CY4, even before extremization. Our results add to those existing in the literature, providing further support for the correspondence. We develop a lifting algorithm, based on the Type IIB realization of these theories, that takes from CY3’s to CY4’s and we use it to efficiently generate the models studied in the paper. We also introduce a procedure, based on the mapping between extremal points in the toric diagram (GLSM fields) and chiral fields in the quiver, which systematically translates symmetries of the toric diagram into constraints of the trial Rcharges of the quiver, beyond those arising from marginality of the superpotential. This method can be exploited for reducing the dimension of the space of trial Rcharges over which the free energy is maximized. Finally, we show that in all the
Partition Functions of Superconformal ChernSimons Theories from Fermi Gas Approach
, 2014
"... ..."
Exact Results on the ABJM Fermi Gas
 JHEP 1210 (2012) 020, [arXiv:1207.4283], P. Putrov and M. Yamazaki, Exact ABJM Partition Function from TBA, Mod.Phys.Lett. A27 (2012) 1250200, [arXiv:1207.5066
"... ar ..."
(Show Context)
A Note on the Partition Function of ABJM theory on S3, Prog.Theor.Phys. 127 (2012) 229–242
 Exact Results on the ABJM Fermi Gas, JHEP 1210 (2012) 020, [arXiv:1207.4283], P. Putrov and M. Yamazaki, Exact ABJM Partition Function from TBA, Mod.Phys.Lett. A27 (2012) 1250200, [arXiv:1207.5066
, 2013
"... ar ..."
(Show Context)
ABJ Wilson loops and Seiberg Duality
, 2014
"... We study supersymmetric Wilson loops in the N = 6 supersymmetric U(N1)k × U(N2)−k ChernSimonsmatter (CSM) theory, the ABJ theory, at finite N1, N2 and k. This generalizes our previous study on the ABJ partition function. First computing the Wilson loops in the U(N1) × U(N2) lens space matrix mode ..."
Abstract
 Add to MetaCart
We study supersymmetric Wilson loops in the N = 6 supersymmetric U(N1)k × U(N2)−k ChernSimonsmatter (CSM) theory, the ABJ theory, at finite N1, N2 and k. This generalizes our previous study on the ABJ partition function. First computing the Wilson loops in the U(N1) × U(N2) lens space matrix model exactly, we perform an analytic continuation, N2 to −N2, to obtain the Wilson loops in the ABJ theory that is given in terms of a formal series and only valid in perturbation theory. Via a SommerfeldWatson type transform, we provide a nonperturbative completion that renders the formal series welldefined at all couplings. This is given by min(N1, N2)dimensional integrals that generalize the “mirror description ” of the partition function of the ABJM theory. Using our results, we find the maps between the Wilson loops in the original and Seiberg dual theories and prove the duality. In our approach we can explicitly see how the perturbative and nonperturbative contributions to the Wilson loops are exchanged under the duality. The duality maps are further supported by a heuristic yet very useful argument based on the brane configuration as well as an alternative derivation based on that of Kapustin and Willett.
Quantization conditions and . . .
"... The partition function of ABJ(M) theories on the threesphere can be regarded as the canonical partition function of an ideal Fermi gas with a nontrivial Hamiltonian. We propose an exact expression for the spectral determinant of this Hamiltonian, which generalizes recent results obtained in the ma ..."
Abstract
 Add to MetaCart
The partition function of ABJ(M) theories on the threesphere can be regarded as the canonical partition function of an ideal Fermi gas with a nontrivial Hamiltonian. We propose an exact expression for the spectral determinant of this Hamiltonian, which generalizes recent results obtained in the maximally supersymmetric case. As a consequence, we find an exact WKB quantization condition determining the spectrum which is in agreement with numerical results. In addition, we investigate the factorization properties and functional equations for our conjectured spectral determinants. These functional equations relate the spectral determinants of ABJ theories with consecutive ranks of gauge groups but the same ChernSimons coupling.