• Corpus ID: 208291231

Global gauge conditions in the Batalin-Vilkovisky formalism

  title={Global gauge conditions in the Batalin-Vilkovisky formalism},
  author={Ezra Getzler and Sean Weinz Pohorence},
  journal={arXiv: Mathematical Physics},
In the Batalin-Vilkovisky formalism, gauge conditions are expressed as Lagrangian submanifolds in the space of fields and antifields. We discuss a way of patching together gauge conditions over different parts of the space of fields, and apply this method to extend the light-cone gauge for the superparticle to a conic neighbourhood of the forward light-cone in momentum space. 
2 Citations

Genera from an algebraic index theorem for supermanifolds

. We prove a super-version of Nest-Tsygan’s algebraic index theorem. This work is inspired by the appearance of the same cobordism invariants in three related stories: index theory, trace methods in

The Brink–Schwarz Superparticle in the Batalin–Vilkovisky Formalism

This thesis explains the sense in which the superparticle exhibits general covariance in the world-line, and shows how to patch local choices of the light-cone gauge condition together, and define the path integral in this setting.



Semidensities on Odd Symplectic Supermanifolds

We consider semidensities on a supermanifold E with an odd symplectic structure. We define a new Δ-operator action on semidensities as the proper framework for the Batalin-Vilkovisky (BV) formalism.

Families of gauge conditions in BV formalism

A bstractIn BV formalism we can consider a Lagrangian submanifold as a gauge condition. Starting with the BV action functional we construct a closed form on the space of Lagrangian submanifolds. If

Gerstenhaber and Batalin–Vilkovisky Structures on Lagrangian Intersections

Let M and N be Lagrangian submanifolds of a complex symplectic manifold S. We construct a Gerstenhaber algebra structure on \(\mathcal{T}or_\ast^{\mathcal{O}_S}(\mathcal{O}_M,\mathcal{O}_N)\) and a

On ω-Lie superalgebras

Let [Formula: see text] be a finite-dimensional vector space over a field [Formula: see text] of characteristic zero, [Formula: see text] an anti-commutative product on [Formula: see text] and

Gauge Field Theory and Complex Geometry

Geometrical Structures in Field Theory.- 1. Grassmannians, Connections, and Integrability.- 2. The Radon-Penrose Transform.- 3. Introduction to Superalgebra.- 4. Introduction to Supergeometry.- 5.

Some remarks on the Gribov ambiguity

The set of all connections of a principal bundle over the 4-sphere with compact nonabelian Lie group under the action of the group of gauge transformations is studied. It is shown that no continuous

Symplectic manifolds and their lagrangian submanifolds

Geometry of Batalin-Vilkovisky quantization

The geometry ofP-manifolds (odd symplectic manifolds) andSP-manifolds (P-manifolds provided with a volume element) is studied. A complete classification of these manifolds is given. This

Differential forms in algebraic topology

This paper presents a meta-thesis on the basis of a model derived from the model developed in [Bouchut-Boyaval, M3AS (23) 2013] that states that the mode of action of the Higgs boson is determined by the modulus of the E-modulus.