Quantization of the topological $\sigma$-model and the master equation of the BF formalism

Abstract

We quantize the topological $\sigma$-model. The quantum master equation of the Batalin-Vilkovisky formalism ${\Delta }_{\rho }\Psi =0$ appears as a condition which eliminates the exact states from the BRST invariant states $\Psi$ defined by $Q\Psi =0$. The phase space of the BV formalism is a supermanifold with a specific symplectic structure, called the fermionic Kähler manifold.

12 pages, Plain TEX, KUL-TF-93/39

References in corpus (2)

• On Background Independent Open-String Field Theory
• The Batalin-Vilkovisky formalism with the Virasoro symmetry

Cited by in corpus (3)

• Triplectic Quantization: A Geometrically Covariant Description of the Sp(2)-symmetric Lagrangian Formalism
• The Batalin-Vilkovisky formalism with the Virasoro symmetry
• Supersymmetric sigma models and harmonic superfunctions