1,720,971 research outputs found
A lagrangian formulation of the Wess approach to supersymmetric Yang-Mills theories.
No full textWe obtain a superspace lagrangian density which reproduces the Wess formulation of supersymmetric gauge theories. The present approach, which is a first-order formalism, gives rise to a lagrangian density polynomial in the Yang-Mills and auxiliary superfields and appears to be stable under quantization and renormalization
Wilson loops on Riemann surfaces, Liouville theory and covariantization of the conformal group
Full text linkThe covariantization procedure is usually referred to the translation operator,
that is the derivative. Here we introduce a general method to covariantize arbitrary differential
operators, such as the ones defining the fundamental group of a given manifold. We
focus on the differential operators representing the sl2(R) generators, which in turn, generate,
by exponentiation, the two-dimensional conformal transformations. A key point of
our construction is the recent result on the closed forms of the Baker-Campbell-Hausdorff
formula. In particular, our covariantization receipt is quite general. This has a deep consequence
since it means that the covariantization of the conformal group is always definite.
Our covariantization receipt is quite general and apply in general situations, including
AdS/CFT. Here we focus on the projective unitary representations of the fundamental
group of a Riemann surface, which may include elliptic points and punctures, introduced
in the framework of noncommutative Riemann surfaces. It turns out that the covariantized
conformal operators are built in terms of Wilson loops around Poincar ́e geodesics, implying
a deep relationship between gauge theories on Riemann surfaces and Liouville theory
Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus
Full text linkWe show that the solitonic contribution of compactified strings corresponds to the quantum statistical partition function of a free particle living on higher dimensional spaces. In the simplest case of a compactification in a circle, the Hamiltonian corresponds to the Laplacian on the 2g-dimensional Jacobian torus associated to the genus g Riemann surface corresponding to the string worldsheet. T-duality leads to a symmetry of the partition function mixing time and temperature. Such a classical/quantum correspondence and T-duality shed some light on the well-known interplay between time and temperature in QFT and classical statistical mechanics
Superfields Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields.
Full text linkWe present the superfield generalization of free higher spin equations in tensorial superspaces and analyze tensorial supergravities with GL(n) and SL(n) holonomy as a possible framework for the construction of a non-linear higher spin field theory. Surprisingly enough, we find that the most general solution of the supergravity constraints is given by a class of superconformally flat and OSp(1|n)-related geometries. Because of the conformal symmetry of the supergravity constraints and of the higher spin field equations such geometries turn out to be trivial in the sense that they cannot generate a `minimal' coupling of higher spin fields to their potentials even in curved backgrounds with a non-zero cosmological constant. This suggests that the construction of interacting higher spin theories in this framework might require an extension of the tensorial superspace with additional coordinates such as twistor-like spinor variables which are used to construct the OSp(1|2n) invariant (`preonic') superparticle action in tensorial superspace
Bagger-Lambert-Gustavsson-motivated lagrangian for the chiral two-form gauge fields in D=6 and M5 branes.
No full textWe reveal nonmanifest gauge and SO(1,5) Lorentz symmetries in the Lagrangian description of a six-dimensional free chiral field derived from the Bagger-Lambert-Gustavsson model in [P.-M. Ho and Y. Matsuo, J. High Energy Phys.JHEPFG1029-8479 06 (2008) 105.10.1088/1126-6708/2008/06/105] and make this formulation covariant with the use of a triplet of auxiliary scalar fields. We consider the coupling of this self-dual construction to gravity and its supersymmetrization. In the case of the nonlinear model of [P.-M. Ho, Y. Imamura, Y. Matsuo, and S. Shiba, J. High Energy Phys.JHEPFG1029-8479 08 (2008) 014.10.1088/1126-6708/2008/08/014] we solve the equations of motion of the gauge field, prove that its nonlinear field strength is self-dual and find a gauge-covariant form of the nonlinear action. Issues of the relation of this model to the known formulations of the M5-brane worldvolume theory are discussed
Noncommutative Riemann surfaces
Full text linkWe compactify M(atrix) theory on Riemann surfaces Sigma with genus g>1. Following [1], we construct a projective unitary representation of pi_1(Sigma) realized on L^2(H), with H the upper half-plane. As a first step we introduce a suitably gauged sl_2(R) algebra. Then a uniquely determined gauge connection provides the central extension which is a 2-cocycle of the 2nd Hochschild cohomology group. Our construction is the double-scaling limit N\to\infty, k\to-\infty of the representation considered in the Narasimhan-Seshadri theorem, which represents the higher-genus analog of 't Hooft's clock and shift matrices of QCD. The concept of a noncommutative Riemann surface Sigma_\theta is introduced as a certain C^\star-algebra. Finally we investigate the Morita equivalence
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