We perform a first step analysis toward generalization of the classification
of N=4 linear quiver gauge theories by Gaiotto and Witten including
Chern-Simons interaction. For this we investigate minimal N=4 U(N_1)_k x
U(N_2)_{-k} Chern-Simons theo...
We construct an anti-de-Sitter (AdS) geometry from a conformal field theory
(CFT) defined on a general conformally flat manifold via a flow equation
associated with the curved manifold, which we refer to as the primary flow
equation. We explicitly...
We investigate an N=4 U(N)_k x U(N+M)_{-k} Chern-Simons theory coupled to one
bifundamental hypermultiplet by employing its partition function, which is
given by 2N+M dimensional integration via localization. Surprisingly, by
performing the integr...
A class of matrix models which arises as partition function in U(N)
Chern-Simons matter theories on three sphere is investigated. Employing the
standard technique of the 1/N expansion we solve the system beyond the planar
limit. In particular we s...
We study the most general renormalizable Chern-Simons
gauge theory coupled to a single (generically massive) fundamental matter
multiplet. At leading order in the 't Hooft large limit we present
computations and conjectures...
We present exact large N calculus of four point function in general
Chern-Simons bosonic and fermionic vector models. Applying the LSZ formula to
the four point function we determine two body scattering amplitudes in these
theories taking a specia...
We analyze the superconformal index of the N=3 supersymmetric Z_k generalized
orientifold theories recently proposed. In the large N limit we derive the
index from the Kaluza-Klein modes in AdS_5 x S^5/Z_k, which are obtained from
ones in AdS_5 x ...
We present explicit computations and conjectures for scattering
matrices in large {\it } Chern-Simons theories coupled to fundamental
bosonic or fermionic matter to all orders in the 't Hooft coupling expansion.
The bosonic and...
It has previously been conjectured that the theory of free fundamental
scalars minimally coupled to a Chern Simons gauge field is dual to the theory
of critical fundamental fermions minimally coupled to a level rank dual Chern
Simons gauge field. ...
We analyze the superconformal index of the N=3 supersymmetric Z_k generalized
orientifold theories recently proposed. In the large N limit we derive the
index from the Kaluza-Klein modes in AdS_5 x S^5/Z_k, which are obtained from
ones in AdS_5 x ...
We compute the thermal free energy for all renormalizable Chern Simon
theories coupled to a single fundamental bosonic and fermionic field in the 't
Hooft large N limit. We use our results to conjecture a strong weak coupling
duality invariance fo...
We compute supersymmetry algebra (superalgebra) in supersymmetric Yang-Mills
theories (SYM) consisting of a vector multiplet including fermionic
contribution in six dimensions. We show that the contribution of fermion is
given by boundary terms. F...
We study the thermal partition function of level U(N) Chern-Simons
theories on interacting with matter in the fundamental representation. We
work in the 't Hooft limit, , with and held ...
We perform a systematic analysis on supersymmetric states in N=4
supersymmetric Yang-Mills theory (SYM) on R x S^3. We find a new set of 1/16
BPS equations and determine the precise configuration of the supersymmetric
states by solving all 1/16 BP...
Sachin Jain, Sandip P. Trivedi, Spenta R. Wadia, Shuichi Yokoyama
JHEP 1210:194,2012 Jul 2012 [Refereed]
In this paper we discuss SU(N) Chern-Simons theories at level k with both
fermionic and bosonic vector matter. In particular we present an exact
calculation of the free energy of the N=2 supersymmetric model (with one chiral
field) for all values ...
We compute the exact effective action for \cN=3 U(N)_k and \cN=4,6
U(N)_k\times U(N')_{-k} Chern-Simons theories with minimal matter content in
the 't Hooft vector model limit under which N and k go to infinity holding N/k,
N' fixed. We also exten...
Bobby Ezhuthachan, Shinji Shimasaki, Shuichi Yokoyama
JHEP 1112 (2011) 048 Jul 2011 [Refereed]
We investigate BPS solutions in ABJM theory on RxS^2. We find new BPS
solutions, which have nonzero angular momentum as well as nontrivial
configurations of fluxes. Applying the "Higgsing procedure" of arxiv:0803.3218
around a 1/2-BPS solution of ...
We investigate the N=2 superconformal index for supersymmetric quiver
Chern-Simons theories with large N gauge groups. After general arguments about
the large N limit, we compute the first few terms in the series expansion of
the index for theorie...
We study SU(N) level k Chern-Simons theories coupling to a fundamental
fermion with chemical potential for U(1) flavor symmetry. We solve this system
exactly in the 't Hooft limit, N,k\to\infty with \lambda = N/k fixed. The
solution exists up to |...
J.Phys.Conf.Ser. 343 (2012) 012134 Oct 2011 [Refereed]
We review aspects of superconformal indices in three dimension. Three
dimensional superconformal indices can be exactly computed by using
localization method including monopole contribution, and can be applied to
provide evidences for mirror duali...
Prog.Theor.Phys.121:915-940,2009 Dec 2008 [Refereed]
We investigate a class of N=4 quiver Chern-Simons theories and their gravity
duals. We define the group of fractional D3-brane charges in a type IIB brane
setup with taking account of D3-brane creation due to Hanany-Witten effect, and
confirm that...
We derive a general formula of an index for three dimensional N=2
superconformal field theories with general R-charge assignments to chiral
multiplets by using the localization method in S^2xS^1 background. As examples
we compute the index for the...
JHEP 1011:059,2010; Erratum-ibid.1104:068,2011 Aug 2010 [Refereed]
We study Kaluza-Klein modes of a d=7, N=2 vector multiplet in AdS_4 x S^3.
Such modes arise in the context of AdS/CFT as dual objects of a class of gauge
invariant operators in N=4 Chern-Simons theories. We confirm that the
Kaluza-Klein modes prec...
We compute a certain index for an N=4 Chern-Simons theory with gauge group
U(N)^r in the large N limit with taking account of monopole contribution, and
compare it to the corresponding multi-particle index for M-theory in the dual
geometry AdS_4 x...
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