Super Chern-Simons Theory: BV-formalism and $A_{\infty }$-algebras

Abstract

This is a companion paper of a long work appeared in [1] discussing the super-Chern-Simons theory on supermanifolds. Here, it is emphasized that the BV formalism is naturally formulated using integral forms for any supersymmetric and supergravity models and we show how to deal with $A_{\infty }$-algebras emerging from supermanifold structures.

arXiv comment25 pp. No figures, Latex2e

References in corpus (18)

• Introduction to string field theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Tensor Constructions of Open String Theories I: Foundations
• $L_{\infty }$ Algebras and Field Theory
• $L_{\infty }$-Algebras of Classical Field Theories and the Batalin-Vilkovisky Formalism
• Noncommutative homotopy algebras associated with open strings
• Resolving Witten's Superstring Field Theory
• The Geometry of Supermanifolds and New Supersymmetric Actions
• Super-Chern-Simons Theory as Superstring Theory
• Hodge Dualities on Supermanifolds
• Projective Superspaces in Practice
• Chern-Simons Theory on Supermanifolds
• Dual Forms on Supermanifolds and Cartan Calculus
• Pictures from Super Chern-Simons Theory
• Batalin--Vilkovisky Formalism and Odd Symplectic Geometry
• $A_{\infty }$-Algebra from Supermanifolds
• Homotopy Algebras in String Field Theory

Cited by in corpus (6)

• M5-brane in the superspace approach
• Self-Dual Forms in Supergeometry I: The Chiral Boson
• Supergravities and Branes from Hilbert-Poincaré Series
• Surface Operators in Superspace
• Super AKSZ construction, integral forms, and the 2-dimensional $\mathcal{N}=(1,1)$ sigma model
• Power to Integral Forms