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arXiv · hep-th/9309103

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

S. Aoyama
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Abstract

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

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S. Aoyama. 1993-09-19. Quantization of the topological $σ$-model and the master equation of the BF formalism. https://doi.org/10.1142/s0217732394003725

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