Roberta Iseppi gets an article accepted for publication in Reviews in Mathematical Physics

2019.06.07 |

The article, *The BV formalism: Theory and application to a matrix model,* by Marie Curie Fellow Roberta Iseppi is accepted for publication in the international journal Reviews in Mathematical Physics.

In this article Roberta reviews the BV formalism in the context of $0$-dimensional gauge theories. For a gauge theory $(X_{0}, S_{0})$ with an affine configuration space $X_{0}$, she describes an algorithm to construct a corresponding extended theory $(\widetilde{X}, \widetilde{S})$, obtained by introducing ghost and anti-ghost fields, with $\widetilde{S}$ a solution of the classical master equation in $\mathcal{O}_{\widetilde{X}}$. This construction is the first step to define the (gauge-fixed) BRST cohomology complex associated to $(\widetilde{X}, \widetilde{S})$, which encodes many interesting information on the initial gauge theory $(X_{0}, S_{0})$. The second part of this article is devoted to the application of this method to a matrix model endowed with a $U(2)$-gauge symmetry, explicitly determining the corresponding $\widetilde{X}$ and the general solution $\widetilde{S}$ of the classical master equation for the model.

The article was first published on arXiv.org: https://arxiv.org/pdf/1610.03463.pdf