248 research outputs found
Matrix Model of Chern-Simons Matter Theories Beyond The Spherical Limit
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 study a case where the matrix model potential has 1/N
correction and give a general solution thereof up to the order of 1/N^2. We
confirm that the general solution correctly reproduces the past exact result of
the free energy up to the order in the case of pure Chern-Simons theory. We
also apply to the matrix model of N=2 Chern-Simons theory with arbitrary
numbers of fundamental chiral multiplets and anti-fundamental ones, which does
not admit the Fermi gas analysis in general.Comment: 1+29 pages, 2 figures, v2: some improvements, figures added, v3:
genus half loop equation solved, calculation for confirmation of the
solution, further discussion, improvements, references added, v4: minor
improvements, a new example, a reference added, published versio
Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
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 special care for a non-analytic term to achieve unitarity in
the singlet channel. We show that the S-matrix enjoys the bosonization duality,
unusual crossing relation and non-relativistic reduction to Aharonov-Bohm
scattering. We also argue that the S-matrix develops a pole in a certain range
of coupling constants, which disappears in the range where the theory reduces
to Chern-Simons theory interacting with free fermions.Comment: 1+28 pages, 5 figures, v2: minor correction
More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
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 BPS equations when they are valued in Cartan
subalgebra of a gauge group and the fermionic fields vanish. We also determine
the number of supersymmetries preserved by the supersymmetric states varying
the parameters of the BPS solutions. As a byproduct we present the complete set
of such supersymmetric states in N=8 SYM on R x S^2 by carrying out dimensional
reduction.Comment: 37 pages, v2: typos corrected, comments and Acknowledgements adde
Superconformal index for large N quiver Chern-Simons theories
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 theories proposed as dual theories to homogeneous spaces V^{5,2},
Q^{1,1,1}, Q^{2,2,2}, M^{1,1,1}, and N^{0,1,0}. We confirm that the indices
have symmetries expected from the isometries of dual manifolds.Comment: 27 pages, 7 figures; v2: typos corrected, Sec.6 modified; v3:
explanation improved, minor corrections, version published in JHE
Chern Simons Bosonization along RG Flows
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. In this paper we study RG flows away from these two fixed
points by turning on relevant operators. In the t' Hooft large N limit we
compute the thermal partition along each of these flows and find a map of
parameters under which the two partition functions agree exactly with each
other all the way from the UV to the IR. We conjecture that the bosonic and
fermionic RG flows are dual to each other under this map of parameters. Our
flows can be tuned to end at the gauged critical scalar theory and gauged free
fermionic theories respectively. Assuming the validity of our conjecture, this
tuned trajectory may be viewed as RG flow from the gauged theory of free bosons
to the gauged theory of free fermions.Comment: 21 pages, v2: new subsection 3.3 added, typos corrected, version
accepted in JHE
AdS geometry from CFT on a general conformally flat manifold
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 show that the induced metric associated with the
primary flow equation becomes AdS whose boundary is the curved manifold.
Interestingly, it turns out that such an AdS metric with conformally flat
boundary is obtained from the usual Poincare AdS by a simple bulk
diffeomorphism transformation. We also demonstrate that the emergence of such
an AdS space is guaranteed only by the conformal symmetry at boundary, which
converts to the AdS isometry after quantum averaging, as in the case of the
flat boundary.Comment: 16 pages, no figur
Twisted Sectors in Gravity Duals of N=4 Chern-Simons Theories
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 precisely reproduce the BPS spectrum of the operators.Comment: 21 pages, v2: Eqs. (32), (33), (34), and (35) are correcte
Complete factorization in minimal N=4 Chern-Simons-matter theory
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 integration explicitly we find that the partition function
completely factorizes into that of the pure Chern-Simons theory for two gauge
groups and an analogous contribution for the bifundamental hypermultiplet.
Using the factorized form of the partition function we argue the level/rank
duality, which is also expected from the Hanany-Witten transition in the type
IIB brane realization. We also present the all order 't Hooft expansion of the
partition function and comment on the connection to the higher-spin theory.Comment: 1+20 pages, 5 figures, v2: comments on the convergence and
regularization of the partition function, one figure, references added, some
other minor improvements, v3: typos corrected, published versio
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