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

Details Quantization of the topological $σ$-model and the master equation of the BF formalism Quantization of the topological $σ$-model and the master equation of the BF formalism

1993-09-19

arxiv.org/abs/hep-th/9309103v1

Mod.Phys.Lett. A9 (1994) 491-500

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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 K\"ahler manifold.

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