Duality of Quasilocal Gravitational Energy and Charges with Non-orthogonal Boundaries

TL;DR

This paper investigates the duality properties of quasilocal energy and charges in a (2+1)-dimensional string theory with non-orthogonal boundaries, extending previous work to include new variables and boost relations.

Contribution

It introduces new quasilocal variables arising from non-orthogonal boundaries and demonstrates their duality and boost relations in the context of low-energy string theory.

Findings

Quasilocal quantities maintain dual properties under frame transformations.

New variables from non-orthogonal boundaries are consistent with duality.

Boost relations between quasilocal quantities are established.

Abstract

We study the duality of quasilocal energy and charges with non-orthogonal boundaries in the (2+1)-dimensional low-energy string theory. Quasilocal quantities shown in the previous work and some new variables arisen from considering the non-orthogonal boundaries as well are presented, and the boost relations between those quantities are discussed. Moreover, we show that the dual properties of quasilocal variables such as quasilocal energy density, momentum densities, surface stress densities, dilaton pressure densities, and Neuve-Schwarz(NS) charge density, are still valid in the moving observer's frame.