N. Mertes

activity

20162021

most citedString field representation of the Virasoro algebra

5 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.CT2021

Beck torsors, formally unramified objects, and Kähler differentials

Nicholas Mertes

Let $C$ be a category with pullbacks. We define a $Beck torsor$ in $C$ as a morphism $Z \to Y$ in $C$ which is a torsor for a Beck module over…

math.CT2020

Torsor-cotorsor duality of Ext groups

Nicholas Mertes

Let $A$ be a ring, and let $M$ and $N$ be $A$ -modules. Then $N$ can be viewed as a group object in the category $A$ -Mod/ $M$ of $A$ -modules over $M$ and Ext $^{1} (M, N)$ can be interpr…

math.AG2020★ 1 cited

First order thickenings and cotorsors

Nicholas Mertes

Let $X$ be a scheme and let $M$ be a quasi-coherent sheaf on $X$ . Then $M$ can be viewed as a cogroup object in the category of schemes under $X$ . We show that…

hep-th2016★ 5 cited

String field representation of the Virasoro algebra

Nicholas Mertes, Martin Schnabl

We construct a representation of the zero central charge Virasoro algebra using string fields in Witten's open bosonic string field theory. This construction is used to explore ext…