# Generalized ADT charges and asymptotic symmetry algebra

## TL;DR

This paper derives the asymptotic symmetry algebra for AdS$_3$ and extremal BTZ spacetimes using generalized ADT charges, confirming the algebraic consistency with existing formalisms.

## Contribution

It introduces a self-consistent method to derive asymptotic symmetry algebra using generalized ADT charges, establishing equivalence with known formalisms.

## Key findings

- The asymptotic symmetry algebra matches known results.
- The generalized ADT formalism is consistent with existing methods.
- The approach applies to AdS$_3$ and extremal BTZ spacetimes.

## Abstract

Using the expressions for generalized ADT current and potential in a self consistent manner, we derive the asymptotic symmetry algebra on AdS$_3$ and the near horizon extremal BTZ spacetimes. The structure of symmetry algebra among the conserved charges for asymptotic killing vectors matches exactly with the known results thus establishing the algebraic equivalence between the well known existing formalisms for obtaining the conserved charges and the generalized ADT charges.