588 research outputs found
N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
We consider the four dimensional scale invariant N=2 SU quiver gauge theories
with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We
argue that these theories are realized as six dimensional A_{2N-1} (0,2)
theories compactified on spheres with punctures. With this realization, we can
study various strongly coupled cusps in moduli space and find the S-dual
theories. We find a class of isolated superconformal field theories with only
odd dimensional operators and superconformal field theories with
only even dimensional operators .Comment: Minor changes are made; refrences are added; 21 pages, 18 figure
Expectation values of chiral primary operators in holographic interface CFT
We consider the expectation values of chiral primary operators in the
presence of the interface in the 4 dimensional N=4 super Yang-Mills theory.
This interface is derived from D3-D5 system in type IIB string theory. These
expectation values are computed classically in the gauge theory side. On the
other hand, this interface is a holographic dual to type IIB string theory on
AdS_5 x S^5 spacetime with a probe D5-brane. The expectation values are
computed by GKPW prescription in the gravity side. We find non-trivial
agreement of these two results: the gauge theory side and the gravity side.Comment: 17pages, no figur
Surface Operators in N=2 4d Gauge Theories
N=2 four dimensional gauge theories admit interesting half BPS surface
operators preserving a (2,2) two dimensional SUSY algebra. Typical examples are
(2,2) 2d sigma models with a flavor symmetry which is coupled to the 4d gauge
fields. Interesting features of such 2d sigma models, such as (twisted) chiral
rings, and the tt* geometry, can be carried over to the surface operators, and
are affected in surprising ways by the coupling to 4d degrees of freedom. We
will describe in detail a relation between the parameter space of twisted
couplings of the surface operator and the Seiberg-Witten geometry of the bulk
theory. We will discuss a similar result about the tt* geometry of the surface
operator. We will predict the existence and general features of a wall-crossing
formula for BPS particles bound to the surface operator.Comment: 25 pages, 4 figure
Cubic Twistorial String Field Theory
Witten has recently proposed a string theory in twistor space whose
D-instanton contributions are conjectured to compute N=4 super-Yang-Mills
scattering amplitudes. An alternative string theory in twistor space was then
proposed whose open string tree amplitudes reproduce the D-instanton
computations of maximal degree in Witten's model.
In this paper, a cubic open string field theory action is constructed for
this alternative string in twistor space, and is shown to be invariant under
parity transformations which exchange MHV and googly amplitudes. Since the
string field theory action is gauge-invariant and reproduces the correct cubic
super-Yang-Mills interactions, it provides strong support for the conjecture
that the string theory correctly computes N-point super-Yang-Mills tree
amplitudes.Comment: 19+1 pages, 4+1 EPS figures, JHEP3 LaTeX; v2: minor corrections,
references added; v3: the final version published in JHEP with a new footnote
on the d=0 on-shell contributio
Computing topological invariants with one and two-matrix models
A generalization of the Kontsevich Airy-model allows one to compute the
intersection numbers of the moduli space of p-spin curves. These models are
deduced from averages of characteristic polynomials over Gaussian ensembles of
random matrices in an external matrix source. After use of a duality, and of an
appropriate tuning of the source, we obtain in a double scaling limit these
intersection numbers as polynomials in p. One can then take the limit p to -1
which yields a matrix model for orbifold Euler characteristics. The
generalization to a time-dependent matrix model, which is equivalent to a
two-matrix model, may be treated along the same lines ; it also yields a
logarithmic potential with additional vertices for general p.Comment: 30 pages, added references, changed conten
Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
We generalize the half-BPS Janus configuration of four-dimensional N=4 super
Yang-Mills theory to allow the theta-angle, as well as the gauge coupling, to
vary with position. We show that the existence of this generalization is
closely related to the existence of novel three-dimensional Chern-Simons
theories with N=4 supersymmetry. Another closely related problem, which we also
elucidate, is the D3-NS5 system in the presence of a four-dimensional
theta-angle.Comment: 66 p
Argyres-Douglas theories and S-duality
This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are creditedM.B. and T.N. are partly supported by the U.S. Department of Energy under grants DOE-SC0010008, DOE-ARRA-SC0003883, and DOE-DE-SC0007897.
This research was supported in part by the National Science Foundation under Grant No.
NSF PHY11-25915. S.G. is partially supported by the ERC Advanced Grant “SyDuGraM”,
by FNRS-Belgium (convention FRFC PDR T.1025.14 and convention IISN 4.4514.08) and by the “Communaut´e Francaise de Belgique” through the ARC progra
On different actions for the vacuum of bosonic string field theory
We study a family of kinetic operators in string field theory describing the
theory around the closed string vacuum. Those operators are based on the
analytical classical solutions of Takahashi and Tanimoto and are analogous to
the pure ghost action usually referred to as "vacuum string field theory," but
are much more general, and less singular than the pure ghost operator. The
closed string vacuum is related to the D-brane vacuum by large, singular, gauge
transformations or field redefinition, and all those different representations
are related to each other by small gauge transformations. We try to clarify the
nature of this singular gauge transformation. We also show that by choosing the
Siegel gauge one recovers the propagator proposed in hep-th/0207266 that
generates closed string surfaces.Comment: 15 page
Notes on Superconformal Chern-Simons-Matter Theories
The three dimensional N=2 supersymmetric Chern-Simons theory coupled to
matter fields, possibly deformed by a superpotential, give rise to a large
class of exactly conformal theories with Lagrangian descriptions. These
theories can be arbitrarily weakly coupled, and hence can be studied
perturbatively. We study the theories in the large N limit, and compute the
two-loop anomalous dimension of certain long operators. Our result suggests
that various N=2 U(N) Chern-Simons theories coupled to suitable matter fields
are dual to open or closed string theories in AdS4, which are not yet
constructed.Comment: 47 pages, 20 figure
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