437 research outputs found
Deformed supersymmetric gauge theories from the fluxtrap background
The fluxtrap background of string theory provides a transparent and
algorithmic way of constructing supersymmetric gauge theories with both mass
and Omega-type deformations in various dimensions. In this article, we review a
number of deformed supersymmetric gauge theories in two and four dimensions
which can be obtained via the fluxtrap background from string or M-theory. Such
theories, the most well-known being Omega-deformed super Yang-Mills theory in
four dimensions, have met with a lot of interest in the recent literature. The
string theory treatment offers many new avenues of analysis and applications,
such as for example the study of the gravity duals for deformed N=4 gauge
theories
Monopole Quivers and new 3D N=2 dualities
We present a new family of dualities for three-dimensional gauge theories,
motivated by the brane realization of the reduction of four-dimensional
dualities on a circle. This family can be understood as a generalization of
Aharony duality to quiver gauge theories whose nodes interact via monopole
terms in the superpotential. We refer to this family of theories as monopole
quivers. We corroborate the new dualities by checking the equivalence of the
three-sphere partition functions, obtained from the standard circle reduction
of the four-dimensional superconformal index. As a special case, we recover
some dualities recently discussed in the literature.}Comment: 27 pages, 4 figure
BPS States in the Duality Web of the Omega deformation
In this note, we study different limits of an Omega-deformed (2,0)
six-dimensional gauge theory realized in a M-theory fluxtrap background. Via a
chain of dualities, we connect the Omega-deformed SYM to a new four-dimensional
gauge theory which we refer to as the reciprocal gauge theory. This theory has
several properties in common with Liouville field theory, such as its gauge
coupling b^2 =\epsilon_2 / \epsilon_1, and its behavior under S-duality.
Finally, we realize the BPS states on the SYM side of the AGT correspondence
and follow them along the chain of dualities.
In the fluxtrap frame, we are dealing with two distinct types of states
localized in different radial positions, while in the reciprocal frame, we find
single states carrying both charges localized in one place which appear to be
perturbatively stable. Our microscopic picture of the small-b limit exhibits
semiclassically BPS bound states, which are not visible at the level of the
partition function.Comment: 20 pages, 2 figures. Minor corrections, published in JHE
Matrix models at large charge
We show that the large-charge formalism can be successfully applied to models
that go beyond the vector models discussed so far in the literature. We study
the explicit example of a conformal matrix model in 2+1 space-time
dimensions at fixed charge and calculate the anomalous dimension and fusion
coefficients at leading order in the charge.Comment: 31 pages, 1 figur
Line operators from M-branes on compact Riemann surfaces
In this paper, we determine the charge lattice of mutually local Wilson and
't Hooft line operators for class S theories living on M5-branes wrapped on
compact Riemann surfaces. The main ingredients of our analysis are the
fundamental group of the N-cover of the Riemann surface, and a quantum
constraint on the six-dimensional theory. This latter plays a central role in
excluding some of the possible lattices and imposing consistency conditions on
the charges. This construction gives a geometric explanation for the mutual
locality among the lines, fixing their charge lattice and the structure of the
four-dimensional gauge group.Comment: 17 pages, 8 figure
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