Duality, Entropy and ADM Mass in Supergravity

Abstract

We consider the Bekenstein-Hawking entropy-area formula in four dimensional extended ungauged supergravity and its electric-magnetic duality property. Symmetries of both "large" and "small" extremal black holes are considered, as well as the ADM mass formula for N=4 and N=8 supergravity, preserving different fraction of supersymmetry. The interplay between BPS conditions and duality properties is an important aspect of this investigation.

45 pages, typos corrected, references added

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Cited by in corpus (37)

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• Universality of the superpotential for d = 4 extremal black holes
• Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity
• Freudenthal Duality and Generalized Special Geometry
• Fake Superpotential for Large and Small Extremal Black Holes
• First-order flows and stabilisation equations for non-BPS extremal black holes
• N=8 Supergravity on the Light Cone
• Two-Center Black Holes Duality-Invariants for stu Model and its lower-rank Descendants
• Small N=2 Extremal Black Holes in Special Geometry
• Charge Orbits of Extremal Black Holes in Five Dimensional Supergravity
• Small Orbits
• Non-Extremal Black Holes of N=2,d=5 Supergravity
• Freudenthal Dual Lagrangians
• Dualities Near the Horizon
• On Quantum Special Kaehler Geometry
• Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity
• Exceptional groups, symmetric spaces and applications
• Explicit Orbit Classification of Reducible Jordan Algebras and Freudenthal Triple Systems
• Topics in Cubic Special Geometry
• Iwasawa N=8 Attractors
• Pair Production of small Black Holes in Heterotic String Theories
• alpha'-corrections and heterotic black holes
• Maurer-Cartan Equations and Black Hole Superpotentials in N =8 Supergravity
• Black holes and equivariant charge vectors in N=2,d=4 supergravity
• Thermodynamic Geometry: Evolution, Correlation and Phase Transition
• Extremal Black Brane Attractors on The Elliptic Curve
• Black Holes and Higher Composition Laws
• Real weights, bound states and duality orbits
• Quarter-BPS Black Holes in AdS${}_4$-NUT from $N=2$ Gauged Supergravity
• Black hole attractors and U(1) Fayet-Iliopoulos gaugings: analysis and classification
• Lagrangian Grassmannians and Spinor Varieties in Characteristic Two
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• Charge Orbits and Moduli Spaces of Black Hole Attractors
• Jordan meets Freudenthal. A Black Hole Exceptional Story