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math-ph2017
The holomorphic bosonic string
Owen Gwilliam, Brian Williams
We present a holomorphic version of the bosonic string in the formalism of quantum field theory developed by Costello and collaborators. In this paper we focus on the case in which…
math-ph2017
Homotopy RG Flow and the Non-Linear -model
Ryan Grady, Brian R. Williams
The purpose of this note is two give a mathematical treatment to the low energy effective theory of the two-dimensional sigma model. Perhaps surprisingly, our low energy effective…
math-ph2017★ 10 cited
Asymptotic Freedom in the BV Formalism
Chris Elliott, Brian Williams, Philsang Yoo
We define the beta-function of a perturbative quantum field theory in the mathematical framework introduced by Costello -- combining perturbative renormalization and the BV formali…