Chemistry and Complexity for Solitons in AdS${}_5$

Abstract

Minimal $D=5$ supergravity admits asymptotically globally AdS${}_5$ gravitational solitons (strictly stationary, geodesically complete spacetimes with positive mass). We show that, like asymptotically flat gravitational solitons, these solutions satisfy mass and mass variation formulas analogous to those satisfied by AdS black holes. A thermodynamic volume associated to the non-trivial topology of the spacetime plays an important role in this construction. We then consider these solitons within the holographic ``complexity equals action'' and ``complexity equals volume'' conjectures as simple examples of spacetimes with nontrivial rotation and topology. We find distinct behaviours for the volume and action, with the counterterm for null boundaries playing a significant role in the latter case. For large solitons we find that both proposals yield a complexity of formation proportional to a power of the thermodynamic volume, $V^{3/4}$. In fact, up to numerical prefactors, the result coincides with the analogous one for large black holes.

arXiv comment54 pages, 9 figures

References in corpus (86)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Stress Tensor for Anti-de Sitter Gravity
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Enthalpy and the Mechanics of AdS Black Holes
• Towards a derivation of holographic entanglement entropy
• Generalized gravitational entropy
• Building up spacetime with quantum entanglement
• Complexity Equals Action
• Black hole chemistry: thermodynamics with Lambda
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Complexity and Shock Wave Geometries
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Complexity, action, and black holes
• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Circuit complexity in quantum field theory
• General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Towards Complexity for Quantum Field Theory States
• Gravitational action with null boundaries
• Holographic Heat Engines
• Comments on Holographic Complexity
• On the Time Dependence of Holographic Complexity
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Noether charge, black hole volume, and complexity
• Complexity of Formation in Holography
• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
• Complexity Growth for AdS Black Holes
• A Boundary Term for the Gravitational Action with Null Boundaries
• Global Structure of Five-dimensional BPS Fuzzballs
• Holographic Complexity in Vaidya Spacetimes II
• Black Hole Microstate Cosmology
• Holographic Black Hole Chemistry
• Subsystem Complexity and Holography
• Switchbacks and the Bridge to Nowhere
• Holographic Complexity in Vaidya Spacetimes I
• The BPS limit of rotating AdS black hole thermodynamics
• Holographic Complexity Equals Which Action?
• The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• Instability of supersymmetric microstate geometries
• Complexity Growth Rate in Lovelock Gravity
• Holographic Complexity for Defects Distinguishes Action from Volume
• Strong energy condition and complexity growth bound in holography
• Subregion Action and Complexity
• Complexity of the AdS Soliton
• Quasi-Spherical Light Cones of the Kerr Geometry
• Thermodynamic Volumes for AdS-Taub-NUT and AdS-Taub-Bolt
• Misner Gravitational Charges and Variable String Strengths
• Holographic Complexity and Two Identities of Action Growth
• Action growth rate for a higher curvature gravitational theory
• Higher Order Corrections to Holographic Black Hole Chemistry
• Surface term, corner term, and action growth in F(Riemann) gravity theory
• Metric-based Hamiltonians, null boundaries, and isolated horizons
• Black hole non-uniqueness via spacetime topology in five dimensions
• Holographic Heat Engines, Entanglement Entropy, and Renormalization Group Flow
• On the Noether charge and the gravity duals of quantum complexity
• On the Geometry and Mass of Static, Asymptotically AdS Spacetimes, and the Uniqueness of the AdS Soliton
• Eguchi-Hanson Solitons in Odd Dimensions
• A no-go on strictly stationary spacetimes in four/higher dimensions
• The first law of soliton and black hole mechanics in five dimensions
• Notes on non-extremal, charged, rotating black holes in minimal D=5 gauged supergravity
• On the uniqueness of the AdS space-time in higher dimensions
• Static Einstein-Maxwell black holes with no spatial isometries in AdS space
• Lovelock action with nonsmooth boundaries
• Selfgravitating magnetic monopoles, global monopoles and black holes
• Comments on supersymmetric solutions of minimal gauged supergravity in five dimensions
• Null hypersurfaces in Kerr-(A)dS spacetimes
• Comments on Black Holes in Bubbling Spacetimes
• No static bubbling spacetimes in higher dimensional Einstein-Maxwell theory
• Solitons in Five Dimensional Minimal Supergravity: Local Charge, Exotic Ergoregions, and Violations of the BPS Bound
• Non-supersymmetric asymptotically AdS_5 x S^5 smooth geometries
• Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime
• Holographic Complexity Bounds
• Stringy Effects and the Role of the Singularity in Holographic Complexity
• AdS${}_5$ magnetized solutions in minimal gauged supergravity
• Thermodynamic Volume of Cosmological Solitons
• Evanescent ergosurface instability
• Soliton mechanics
• Complexity and typical microstates
• Domain Structure of Black Hole Space-Times with a Cosmological Constant
• Holographic entanglement entropy and complexity of microstate geometries
• Complexity growth rate, grand potential and partition function

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• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• Holographic Complexity and Thermodynamic Volume
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• Universality for Black Hole Heat Engines Near Critical Points
• Generalized holographic complexity of rotating black holes
• Supersymmetric asymptotically locally AdS${}_5$ gravitational solitons
• Holographic and QFT Complexity with angular momentum
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