Heating up the Baryonic Branch with U-duality: a unified picture of conifold black holes

TL;DR

This work extends Maldacena-Martielli's U-duality (rotation) as a solution-generating tool to non-extremal backgrounds, constructing a new class of non-extremal generalizations of the KS baryonic branch by rotating a non-extremal wrapped D5-brane seed with stabilized UV dilaton. The rotated background in type IIB carries RR five-form and NSNS three-form fluxes, and, notably, retains Klebanov-Strassler–type (KT) UV asymptotics while coupling gravity in a controlled way. The authors provide a detailed treatment of the warm-up Dp-brane rotations, build and analyze the non-extremal seed, perform UV and near-horizon expansions, and validate the rotated solutions numerically, including preliminary thermodynamic considerations. They also discuss decoupling limits and parameter choices, highlighting how the rotation preserves some field-theory content while introducing new gravitational couplings and flux structures, thereby offering a framework to probe finite-temperature, baryonic-branch dynamics in KS-like theories.

Abstract

We study different aspects of a U-duality recently presented by Maldacena and Martelli and apply it to non-extremal backgrounds. In particular, starting from new non-extremal wrapped D5 branes we generate new non-extremal generalizations of the Baryonic Branch of the Klebanov-Strassler solution. We also elaborate on different conceptual aspects of these U-dualities, like its action on (extremal and non-extremal) Dp branes, dual models for Yang-Mills-like theories, generic asymptotics and decoupling limit of the generated solutions.

Figures (10)

• Figure 1: Solution before the rotation for $c=1.97$, $C_2= -7000$. The blue, dashed, green and orange lines represent $e^{q}, e^{k}, e^{g}$ and $h^{-1}$ respectively.
• Figure 2: Solution before the rotation for $c=125.62$, $C_2= -89$. The blue, dashed, green and orange lines represent $e^q, e^k, e^g$ and $h^{-1}$ respectively.
• Figure 3: Dilaton, $e^{4\Phi}$ for $c=1.97, C_2=-7000.$
• Figure 4: Dilaton, $e^{4\Phi}$ for $c=125.62, C_2=-89$.
• Figure 5: The $g_{r r}$ metric element for a solution after the rotation, $c=125.62,\ C2= -89$.