New Phases of Near-Extremal Branes on a Circle

Abstract

We study the phases of near-extremal branes on a circle, by which we mean near-extremal branes of string theory and M-theory with a circle in their transverse space. We find a map that takes any static and neutral Kaluza-Klein black hole, i.e. any static and neutral black hole on Minkowski-space times a circle M^d x S^1, and map it to a corresponding solution for a near-extremal brane on a circle. The map is derived using first a combined boost and U-duality transformation on the Kaluza-Klein black hole, transforming it to a solution for a non-extremal brane on a circle. The resulting solution for a near-extremal brane on a circle is then obtained by taking a certain near-extremal limit. As a consequence of the map, we can transform the neutral non-uniform black string branch into a new non-uniform phase of near-extremal branes on a circle. Furthermore, we use recently obtained analytical results on small black holes in Minkowski-space times a circle to get new information about the localized phase of near-extremal branes on a circle. This gives in turn predictions for the thermal behavior of the non-gravitational theories dual to these near-extremal branes. In particular, we give predictions for the thermodynamics of supersymmetric Yang-Mills theories on a circle, and we find a new stable phase of (2,0) Little String Theory in the canonical ensemble for temperatures above its Hagedorn temperature.

72 pages, 5 figures. v2: Typos fixed, refs. added. v3: Sec. 3.2 fixed

References in corpus (1)

• A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black Holes

Cited by in corpus (43)

• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• Connecting black holes and black strings
• Stability and Critical Phenomena of Black Holes and Black Rings
• Black Rings, Boosted Strings and Gregory-Laflamme
• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• Gregory-Laflamme as the confinement/deconfinement transition in holographic QCD
• New nonuniform black string solutions
• Phase structure of matrix quantum mechanics at finite temperature
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Black Holes in Higher-Dimensional Gravity
• Testing holography using lattice super-Yang--Mills on a 2-torus
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• Origin of black string instability
• High temperature expansion in supersymmetric matrix quantum mechanics
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• On non-uniform smeared black branes
• On the shape of a D-brane bound state and its topology change
• Localised and nonuniform thermal states of super-Yang-Mills on a circle
• Multi-black hole configurations on the cylinder
• Rotating Black Holes on Kaluza-Klein Bubbles
• Phases of a two dimensional large N gauge theory on a torus
• New stable phase of non-uniform charged black strings
• Smeared D0 charge and the Gubser-Mitra conjecture
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Rotating nonuniform black string solutions
• Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
• The Gregory-Laflamme instability for the D2-D0 bound state
• What is the gravity dual of the confinement/deconfinement transition in holographic QCD?
• A Microscopic Model for the Black hole - Black string Phase Transition
• Bubbles and Black Branes in Grand Canonical Ensemble
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Thermodynamics of the Near-Extremal NS5-brane
• Critical Kaluza-Klein black holes and black strings in D = 10
• Instabilities of D-brane Bound States and Their Related Theories
• Three-Charge Black Holes on a Circle
• Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM
• New States of Gauge Theories on a Circle
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• Entropy of Three-Charge Black Holes on a Circle
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills