Brane Dualities in Non-relativistic Limit

TL;DR

This paper explores how various brane dualities behave in the non-relativistic limit, showing that the non-relativistic limit and dualities commute for M2-branes, D2-branes, and strings, with implications for string theory.

Contribution

It demonstrates that non-relativistic brane actions are related via dualities in a way that preserves the non-relativistic limit, confirming the consistency of these limits with duality transformations.

Findings

Non-relativistic M2-brane relates to non-relativistic D2-brane and fundamental strings via dualities.

The non-relativistic limit and dualities commute for the branes studied.

Actions obtained from relativistic theories match non-relativistic limits after dualities.

Abstract

We analyze brane dualities in the non-relativistic limit of the worldvolume actions. In particular we have analyzed how the non-relativistic M2-brane is related via these dualities to non-relativistic D2-brane, non-relativistic IIA fundamental string and also, by using T-duality, to non-relativistic D1-string. These actions coincide with ones obtained from relativistic actions by taking non-relativistic limit, showing that the non-relativistic limit and the dualities commute in these cases.