Quantization of ($$-1$$)-Shifted Derived Poisson Manifolds

نویسندگان

چکیده

We investigate the quantization problem of $(-1)$-shifted derived Poisson manifolds in terms $\BV_\infty$-operators on space Berezinian half-densities. prove that quantizing such a manifold is equivalent to lifting consecutive sequences Maurer-Cartan elements short exact differential graded Lie algebras, where obstruction certain class second cohomology. Consequently, quantizable if cohomology group vanishes. also for any $\L$-algebroid $\Cc{\aV}$, its corresponding linear $\Cc{\aV}^\vee[-1]$ admits canonical quantization. Finally, given algebroid $A$ and one-cocycle $s\in \sections{A^\vee}$, intersection coisotropic submanifolds determined by graph $s$ zero section $A^\vee$ shown admit Evens-Lu-Weinstein module.

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2023

ISSN: ['0010-3616', '1432-0916']

DOI: https://doi.org/10.1007/s00220-023-04762-1