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On Quantum Obstruction Spaces and Higher Codimension Gauge Theories

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 نشر من قبل Nima Moshayedi
 تاريخ النشر 2020
  مجال البحث فيزياء
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 تأليف Nima Moshayedi




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Using the quantum construction of the BV-BFV method for perturbative gauge theories, we show that the obstruction for quantizing a codimension 1 theory is given by the second cohomology group with respect to the boundary BRST charge. Moreover, we give an idea for the algebraic construction of codimension $k$ quantizations in terms of $mathbb{E}_k$-algebras and higher shifted Poisson structures by formulating a higher version of the quantum master equation.

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