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arXiv · 2106.02983

BV analysis of Polyakov and Nambu-Goto theories with boundary

S. Martinoli·M. Schiavina
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Abstract

The Batalin-Vilkovisky data for Polyakov string theory on a manifold with (non-null) boundary is shown to induce compatible Batalin--Fradkin--Vilkovisky data, thus allowing BV-quantisation on manifolds with boundary. On the other hand, the analogous formulation of Nambu--Goto string theory fails to satisfy the needed regularity requirements. As a byproduct, a concise description is given of the reduced phase spaces of both models and their relation, for any target $d$-dimensional Lorentzian manifold.

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S. Martinoli, M. Schiavina. 2022-04-04. BV analysis of Polyakov and Nambu-Goto theories with boundary. https://doi.org/10.1007/s11005-022-01526-1

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