119516505
Supersymmetry and Bogomol'nyi equations in the Abelian Higgs model
Abstract The N = 2 supersymmetric extension of the 2+1 dimensional Abelian Higgs model is discussed. By analysing the resulting supercharge algebra, the connection between supersymmetry and Bogomol'nyi equations is clarified. Analogous results are presented when the model is considered in 2 dimensional (Euclidean) space.
17311968
Backreacting flavors in the Klebanov-Strassler background
In this paper we present new analytic solutions of pure Type IIB supergravity plus D7-branes describing the addition of an arbitrary number of flavors to the Klebanov-Tseytlin and Klebanov-Strassler backgrounds. We provide a precise field theory dual and a detailed analysis of the duality cascade which describes its RG flow. Matchings of beta functions and anomalies between the field theory and the string setup are presented. We give an understanding of Seiberg duality as a large gauge transformation on the RR and NSNS potentials. We also analyze the UV behavior of the field theory that, as suggested by the string background, can be associated with a duality wall.
8824397
Fake supergravity and domain wall stability
We review the generalized Witten-Nester spinor stability argument for flat domain wall solutions of gravitational theories. Neither the field theory nor the solution need be supersymmetric. Nor is the space-time dimension restricted. We develop the non-trivial extension required for AdS-sliced domain walls and apply this to show that the recently proposed "Janus" solution of Type IIB supergravity is stable non-perturbatively for a broad class of deformations. Generalizations of this solution to arbitrary dimension and a simple curious linear dilaton solution of Type IIB supergravity are byproducts of this work.
15805106
String duals of two-dimensional (4,4) supersymmetric gauge theories
We study duals to field theories in two dimensions with = (4, 4) SUSY. The string backgrounds reproduce certain non-perturbative aspects of the dual field theory with a large number of colors Nc and a tunable number of flavors Nf. Different aspects of the two-dimensional field theory are discussed, among them the running of gauge couplings, the spectrum of mesons in Higgs and Coulomb branches, entanglement entropy and the non-relativistic version of our string backgrounds.
121982373
Fermionic current algebra in three dimensions
We consider the fermion-boson mapping in three dimensional space-time, in the Abelian case, from the current algebra point of view. It is shown that in a path-integral framework one can derive a general bosonization recipe leading, in the bosonic language, to the correct equal-time current commutators of the original free fermionic theory.
118385203
Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler
We construct explicitly a new class of backgrounds in type-IIB supergravity which generalize the baryonic branch of Klebanov-Strassler. We apply a solution-generating technique that, starting from a large class of solutions of the wrapped-D5system, yields the new solutions, and then proceed to study in detail their properties, both in the IR and in the UV. We propose a simple intuitive field theory interpretation of the rotation procedure and of the meaning of our new solutions within the Papadopoulos-Tseytlin ansatz, in particular in relation to the duality cascade in the Klebanov-Strassler solution. The presence in the field theory of different VEVs for operators of dimensions 2, 3 and 6 suggests that this is an important step towards the construction of the string dual of a genuinely multi-scale (strongly coupled) dynamical model.
122039305
Heterotic string covariant amplitudes and low-energy effective action
Abstract We compute the 3- and 4-point scattering amplitudes for gravitons, antisymmetric tensors, and gauge bosons in the heterotic string model using the covariant path integral formalism. From these amplitudes we deduce all the terms in the low-energy effective action involving cubic and quartic interactions of those fields, that are not affected by pole subtractions. We show that the spin connection should naturally contain torsion whose sign is unambiguously determined by the string amplitudes. The quartic interactions arising from the pure heterotic string part of the amplitudes (i.e. the pieces which are not contained in the SST-scattering amplitudes) are shown to vanish when the gauge field is embedded in the spin connection with torsion ( A μ → ω μ ). Some consequences for compactification are discussed.
119760445
On the equivalence between β-functions and massless bosonic string field equations of motion
Abstract It is shown that the β-functions of the generalized bosonic non-linear σ-model for gravity and antisymmetric tensor presently available in the literature cannot be obtained as the equations of motion from a covariant action. Some consequences of this result are discussed and a possible solution is indicated.
124520602
Nondiagonal CP(m) cosets in string compactifications
118238008
THE LOCAL TERM OF THE ENERGY MOMENTUM TENSOR FOR A QUANTUM SCALAR FIELD IN A CURVED BACKGROUND
122350346
A spin‐ 1/2 particle formalism in curved space–time
A formalism is presented to solve the Dirac equation in curved space–time and the spinorial solution is obtained. A general method is introduced to compute the particle creation. The kernel S1(x,x′) leading to the particle model is built out of considerations on the Minkowskian limit and high energy behavior.