766 research outputs found
Instanton operators in five-dimensional gauge theories
This article is distributed under the terms of the Creative Commons
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any medium, provided the original author(s) and source are creditedN.L. is supported in part by STFC grant ST/J002798/1. C.P. is a Royal Society Research Fellow.N.L. is supported in part by STFC grant ST/J002798/1. C.P. is a Royal Society Research Fellow.N.L. is supported in part by STFC grant ST/J002798/1. OPen Aceess funded by SCOAP
Nonlocal Charges for Bonus Yangian Symmetries of Super-Yang-Mills
The existence of a "bonus" U(1) level-one Yangian symmetry of N=4
super-Yang-Mills has recently been proposed. We provide evidence for this
proposal by constructing the BRST-invariant nonlocal charge in the pure spinor
sigma model corresponding to this bonus level-one symmetry. We also construct
analogous charges for bonus U(1) symmetries at all odd levels of the Yangian.Comment: LaTeX 16p
5d quivers and their AdS(6) duals
We consider an infinite class of 5d supersymmetric gauge theories involving
products of symplectic and unitary groups that arise from D4-branes at orbifold
singularities in Type I' string theory. The theories are argued to be dual to
warped AdS(6)x S4/Zn backgrounds in massive Type IIA supergravity. In
particular, this demonstrates the existence of supersymmetric 5d fixed points
of quiver type. We analyze the spectrum of gauge fields and charged states in
the supergravity dual, and find a precise agreement with the symmetries and
charged operators in the quiver theories. We also comment on other brane
objects in the supergravity dual and their interpretation in the field
theories.Comment: 29 pages, 15 figure
Supersymmetry Breaking in Chern-Simons-matter Theories
Some of supersymmetric Chern-Simons theories are known to exhibit
supersymmetry breaking when the Chern-Simons level is less than a certain
number. The mechanism of the supersymmetry breaking is, however, not clear from
the field theory viewpoint. In this paper, we discuss vacuum states of pure Chern-Simons theory and Chern-Simons-matter theories of
quiver type using related theories in which Chern-Simons terms are replaced
with (anti-)fundamental chiral multiplets. In the latter theories,
supersymmetry breaking can be shown to occur by examining that the vacuum
energy is non-zero.Comment: 17 pages, 3 figures, v2) references adde
Static Charges in the Low-Energy Theory of the S-Duality Twist
We continue the study of the low-energy limit of N=4 super Yang-Mills theory
compactified on a circle with S-duality and R-symmetry twists that preserve N=6
supersymmetry in 2+1D. We introduce external static supersymmetric quark and
anti-quark sources into the theory and calculate the Witten Index of the
resulting Hilbert space of ground states on a torus. Using these results we
compute the action of simple Wilson loops on the Hilbert space of ground states
without sources. In some cases we find disagreement between our results for the
Wilson loop eigenvalues and previous conjectures about a connection with
Chern-Simons theory.Comment: 73 pages, two paragraphs added, one to the introduction and one to
the discussio
Metastable Vacua and the Backreacted Stenzel Geometry
We construct an M-theory background dual to the metastable state recently
discussed by Klebanov and Pufu, which corresponds to placing a stack of anti-M2
branes at the tip of a warped Stenzel space. With this purpose we analytically
solve for the linearized non-supersymmetric deformations around the warped
Stenzel space, preserving the SO(5) symmetries of the supersymmetric
background, and which interpolate between the IR and UV region. We identify the
supergravity solution which corresponds to a stack of backreacting
anti-M2 branes by fixing all the 12 integration constants in terms of
. While in the UV this solution has the desired features to describe
the conjectured metastable state of the dual (2+1)-dimensional theory, in the
IR it suffers from a singularity in the four-form flux, which we describe in
some details.Comment: 33 pages, 3 figure
Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
We show that the recently proposed large equivalence between ABJM
theories with Chern-Simons terms of different rank and level,
U(N_1)_{k_1}\times U(N_1)_{-k_1} and U(N_2)_{k_2}\times U(N_2)_{-k_2}, but the
same value of N' =N_1 k_1=N_2 k_2, can be explained using planar equivalence in
the mirror duals. The combination of S-dualities and orbifold equivalence can
be applied to other cases as well, with very appealing results. As an example
we show that two different quiver theories with k nodes can be easily shown to
be Seiberg dual through the orbifold equivalence, but it requires order k^2
steps to give a proof when Seiberg duality is performed node by node.Comment: 18 pages, 7 figures, minor changes and references adde
From Necklace Quivers to the F-theorem, Operator Counting, and T(U(N))
The matrix model of Kapustin, Willett, and Yaakov is a powerful tool for
exploring the properties of strongly interacting superconformal Chern-Simons
theories in 2+1 dimensions. In this paper, we use this matrix model to study
necklace quiver gauge theories with {\cal N}=3 supersymmetry and U(N)^d gauge
groups in the limit of large N. In its simplest application, the matrix model
computes the free energy of the gauge theory on S^3. The conjectured F-theorem
states that this quantity should decrease under renormalization group flow. We
show that for a simple class of such flows, the F-theorem holds for our
necklace theories. We also provide a relationship between matrix model
eigenvalue distributions and numbers of chiral operators that we conjecture
holds more generally. Through the AdS/CFT correspondence, there is therefore a
natural dual geometric interpretation of the matrix model saddle point in terms
of volumes of 7-d tri-Sasaki Einstein spaces and some of their 5-d
submanifolds. As a final bonus, our analysis gives us the partition function of
the T(U(N)) theory on S^3.Comment: 3 figures, 41 pages; v2 minor improvements, refs adde
Phases of planar 5-dimensional supersymmetric Chern-Simons theory
In this paper we investigate the large- behavior of 5-dimensional
super Yang-Mills with a level Chern-Simons term and an
adjoint hypermultiplet. As in three-dimensional Chern-Simons theories, one must
choose an integration contour to completely define the theory. Using
localization, we reduce the path integral to a matrix model with a cubic action
and compute its free energy in various scenarios. In the limit of infinite
Yang-Mills coupling and for particular choices of the contours, we find that
the free-energy scales as for gauge groups with large values
of the Chern-Simons 't\,Hooft coupling, . If we also
set the hypermultiplet mass to zero, then this limit is a superconformal fixed
point and the behavior parallels other fixed points which have known
supergravity duals. We also demonstrate that gauge groups cannot have
this scaling for their free-energy. At finite Yang-Mills coupling we
establish the existence of a third order phase transition where the theory
crosses over from the Yang-Mills phase to the Chern-Simons phase. The phase
transition exists for any value of , although the details differ
between small and large values of . For pure Chern-Simons
theories we present evidence for a chain of phase transitions as
is increased.
We also find the expectation values for supersymmetric circular Wilson loops
in these various scenarios and show that the Chern-Simons term leads to
different physical properties for fundamental and anti-fundamental Wilson
loops. Different choices of the integration contours also lead to different
properties for the loops.Comment: 40 pages, 17 figures, Minor corrections, Published versio
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