1,339 research outputs found
More anomaly-free models of six-dimensional gauged supergravity
We construct a huge number of anomaly-free models of six-dimensional N =
(1,0) gauged supergravity. The gauge groups are products of U(1) and SU(2), and
every hyperino is charged under some of the gauge groups. It is also found that
the potential may have flat directions when the R-symmetry is diagonally gauged
together with another gauge group. In an appendix, we determine the
contribution to the global SU(2) anomaly from symplectic Majorana Weyl fermions
in six dimensions.Comment: 20 pages, v3: published versio
Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
We study the local properties of a class of codimension-2 defects of the 6d
N=(2,0) theories of type J=A,D,E labeled by nilpotent orbits of a Lie algebra
\mathfrak{g}, where \mathfrak{g} is determined by J and the outer-automorphism
twist around the defect. This class is a natural generalisation of the defects
of the 6d theory of type SU(N) labeled by a Young diagram with N boxes. For any
of these defects, we determine its contribution to the dimension of the Higgs
branch, to the Coulomb branch operators and their scaling dimensions, to the 4d
central charges a and c, and to the flavour central charge k.Comment: 57 pages, LaTeX2
Six-dimensional D_N theory and four-dimensional SO-USp quivers
We realize four-dimensional N=2 superconformal quiver gauge theories with
alternating SO and USp gauge groups as compactifications of the six-dimensional
D_N theory with defects. The construction can be used to analyze infinitely
strongly-coupled limits and S-dualities of such gauge theories, resulting in a
new class of isolated four-dimensional N=2 superconformal field theories with
SO(2N)^3 flavor symmetry.Comment: 30 pages, 12 figures; v2: published versio
Bifurcations and Averages in the Homoclinic Chaos of a Laser with a Saturable Absorber
The dynamical bifurcations of a laser with a saturable absorber were
calculated, with the 3-2 level model, as function of the gain parameter. The
average power of the laser is shown to have specific behavior at bifurcations.
The succession of periodic-chaotic windows, known to occur in the homoclinic
chaos, was studied numerically. A critical exponent of 1/2 is found on the
tangent bifurcations from chaotic into periodic pulsations.Comment: 6 or 7 pages, 3 figures, publishe
Four-Dimensional SCFTs from M5-Branes
We engineer a large new set of four-dimensional N=1 superconformal field
theories by wrapping M5-branes on complex curves. We present new supersymmetric
AdS_5 M-theory backgrounds which describe these fixed points at large N, and
then directly construct the dual four-dimensional CFTs for a certain subset of
these solutions. Additionally, we provide a direct check of the central charges
of these theories by using the M5-brane anomaly polynomial. This is a companion
paper which elaborates upon results reported in arXiv:1112:5487.Comment: 45 pages, 11 figure
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
Black Hole Entropy in the presence of Chern-Simons Terms
We derive a formula for the black hole entropy in theories with gravitational
Chern-Simons terms, by generalizing Wald's argument which uses the Noether
charge. It correctly reproduces the entropy of three-dimensional black holes in
the presence of Chern-Simons term, which was previously obtained via indirect
methods.Comment: v2: 12 pages, added reference
On metric geometry of conformal moduli spaces of four-dimensional superconformal theories
Conformal moduli spaces of four-dimensional superconformal theories obtained
by deformations of a superpotential are considered. These spaces possess a
natural metric (a Zamolodchikov metric). This metric is shown to be Kahler. The
proof is based on superconformal Ward identities.Comment: 8 page
Elliptic genera of 2d N=2 gauge theories
We compute the elliptic genera of general two-dimensional and gauge theories. We find that the elliptic genus is given by the sum of Jeffrey-Kirwan residues of a meromorphic form, representing the one-loop determinant of fields, on the moduli space of flat connections on T (2). We give several examples illustrating our formula, with both Abelian and non-Abelian gauge groups, and discuss some dualities for U(k) and SU(k) theories. This paper is a sequel to the authors' previous paper (Benini et al., Lett Math Phys 104:465-493, 2014)
Exactly Marginal Deformations and Global Symmetries
We study the problem of finding exactly marginal deformations of N=1
superconformal field theories in four dimensions. We find that the only way a
marginal chiral operator can become not exactly marginal is for it to combine
with a conserved current multiplet. Additionally, we find that the space of
exactly marginal deformations, also called the "conformal manifold," is the
quotient of the space of marginal couplings by the complexified continuous
global symmetry group. This fact explains why exactly marginal deformations are
ubiquitous in N=1 theories. Our method turns the problem of enumerating exactly
marginal operators into a problem in group theory, and substantially extends
and simplifies the previous analysis by Leigh and Strassler. We also briefly
discuss how to apply our analysis to N=2 theories in three dimensions.Comment: 23 pages, 2 figure
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