Generalized sigma model with dynamical antisymplectic potential and non-Abelian de Rham's differential

@article{Batalin2017GeneralizedSM,
  title={Generalized sigma model with dynamical antisymplectic potential and non-Abelian de Rham's differential},
  author={Igor A. Batalin and Peter M. Lavrov},
  journal={Physics Letters B},
  year={2017},
  volume={767},
  pages={99-102}
}

References

SHOWING 1-10 OF 12 REFERENCES

Frame-like Lagrangians and presymplectic AKSZ-type sigma models

We study supergeometric structures underlying frame-like Lagrangians. We show that for the theory in n space–time dimensions both the frame-like Lagrangian and its gauge symmetries are encoded in the

The Geometry of the Master Equation and Topological Quantum Field Theory

In Batalin–Vilkovisky formalism, a classical mechanical system is specified by means of a solution to the classical master equation. Geometrically, such a solution can be considered as a QP-manifold,

The Geometry of Supersymmetric Quantum Mechanics

One-dimensional sigma-models with N supersymmetries are considered. For conventional supersymmetries there must be N-1 complex structures satisfying a Clifford algebra and the constraints on the

First order parent formulation for generic gauge field theories

We show how a generic gauge field theory described by a BRST differential can systematically be reformulated as a first order parent system whose spacetime part is determined by the de Rham

A Path Integral Approach¶to the Kontsevich Quantization Formula

Abstract: We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path

Superfield algorithms for topological field theories

A superfield algorithm for master actions of a class of gauge field theories including topological ones in arbitrary dimensions is presented generalizing a previous treatment in two dimensions.

Extended sigma-model in nontrivially deformed field-antifield formalism

We propose an action for the extended sigma - models in the most general setting of the kinetic term allowed in the nontrivially deformed field - antifield formalism. We show that the classical

POISSON STRUCTURE INDUCED (TOPOLOGICAL) FIELD THEORIES

A class of two-dimensional field theories, based on (generically degenerate) Poisson structures and generalizing gravity-Yang–Mills systems, is presented. Locally, the solutions of the classical

Hamiltonian algebroid symmetries in W gravity and Poisson sigma model

Starting from a Lie algebroid ${\cal A}$ over a space V we lift its action to the canonical transformations on the principle affine bundle ${\cal R}$ over the cotangent bundle $T^*V$. Such lifts are