Gravity dual D3-braneworld and Open/Closed string duality

TL;DR

This paper constructs a gravity dual for a D3-brane using a covariantly constant two-form, revealing an open/closed string duality and deriving a Reissner-Nordstrom black hole in a non-Riemannian braneworld within type IIB string theory.

Contribution

It introduces a novel gravity dual action for a D3-brane with a deformed AdS black hole, utilizing a covariantly constant two-form and Kaluza-Klein compactification.

Findings

Derived a gravity dual action governing an S^3 deformed AdS_5 black hole.

Established open/closed string duality via Kaluza-Klein compactification.

Obtained a Reissner-Nordstrom black hole on a non-Riemannian braneworld.

Abstract

A covariantly constant dynamical two-form is exploited on a $D_3$-brane to obtain its gravity dual action, governing an $S^3$ deformed $AdS_5$ black hole, in a type IIB string theory on $S^1\times K3$. We invoke the Kaluza-Klein compactification to work out the open/closed string duality. Interestingly, the Reissner-Nordstrom black hole is obtained on the "non-Reimannian" braneworld.