# 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

- Physics
- 2014

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

- Mathematics
- 1997

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

- Mathematics, Physics
- 1999

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

- Physics
- 2011

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

- Mathematics, Physics
- 1999

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

- Physics
- 2001

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

- Mathematics
- 2015

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

- Physics
- 1994

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

- Mathematics
- 2000

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…