Global gauge conditions in the Batalin-Vilkovisky formalism
@article{Getzler2019GlobalGC, title={Global gauge conditions in the Batalin-Vilkovisky formalism}, author={Ezra Getzler and Sean Weinz Pohorence}, journal={arXiv: Mathematical Physics}, year={2019} }
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.
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References
SHOWING 1-10 OF 23 REFERENCES
Semidensities on Odd Symplectic Supermanifolds
- Mathematics
- 2000
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
- Mathematics
- 2016
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
- Mathematics
- 2009
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
- Mathematics, ArtJournal of Algebra and Its Applications
- 2018
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
- Mathematics
- 1988
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
- Physics
- 1978
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…
Geometry of Batalin-Vilkovisky quantization
- Mathematics
- 1992
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
- MathematicsGraduate texts in mathematics
- 1982
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.