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Papers by Alejandra Castro

Research paper thumbnail of Holographic description of AdS2 black holes

Journal of High Energy Physics, 2008

We develop the holographic renormalization of AdS 2 gravity systematically. We find that a bulk M... more We develop the holographic renormalization of AdS 2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations that preserve the boundary conditions. We determine the energy-momentum tensor and the central charge, recovering recent results by Hartman and Strominger. We show that our expressions are consistent with dimensional reduction of the AdS 3 energy-momentum tensor and the Brown-Henneaux central charge. As an application of our results we interpret the entropy of AdS 2 black holes as the ground state entropy of a dual CFT.

Research paper thumbnail of Precision entropy of spinning black holes

Journal of High Energy Physics, 2007

We construct spinning black hole solutions in five dimensions that take into account the mixed ga... more We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion. The resulting entropy formula is discussed from several points of view. We include a Taub-NUT base space in order to test recent conjectures relating 5D black holes to 4D black holes and the topological string. Our explicit results show that certain charge shifts have to be taken into account for these relations to hold. We also compute corrections to the entropy of black rings in terms of near horizon data.

Research paper thumbnail of Near extremal Kerr entropy from AdS2 quantum gravity

Journal of High Energy Physics, 2009

We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using t... more We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the same central charge) that acts on the degenerate ground state. The energy of the excitations is computed as well, and we can use Cardy's formula to determine the near extremal entropy. Our result is consistent with the Bekenstein-Hawking area law for near extremal Kerr black holes.

Research paper thumbnail of Three dimensional origin of AdS 2 quantum gravity

Journal of High Energy Physics, 2010

We study AdS2 quantum gravity with emphasis on consistency with results from AdS3. We lift AdS2 b... more We study AdS2 quantum gravity with emphasis on consistency with results from AdS3. We lift AdS2 black holes to three dimensions and map fluctuations around the solutions. Comparison with near extremal BTZ are discussed, with due emphasis on global aspects. The results confirm that parameters like central charges and conformal weights computed directly in 2D are consistent with standard results in 3D. Applying our results to the thermodynamics of near extreme Kerr black holes, we show that AdS2 quantum gravity gives the correct central charge c = 12J, and the entropy of excitations above the extremal limit is captured correctly.

Research paper thumbnail of 5D attractors with higher derivatives

Journal of High Energy Physics, 2007

We analyze higher derivative corrections to attractor geometries in five dimensions. We find corr... more We analyze higher derivative corrections to attractor geometries in five dimensions. We find corrected AdS_3xS^2 geometries by solving the equations of motion coming from a recently constructed four-derivative supergravity action in five dimensions. The result allows us to explicitly verify a previous anomaly based derivation of the AdS_3 central charges of this theory. Also, by dimensional reduction we compare our results with those of the 4D higher derivative attractor, and find complete agreement.

Research paper thumbnail of 5D black holes and strings with higher derivatives

Journal of High Energy Physics, 2007

We find asymptotically flat black hole and string solutions to 5D supergravity in the presence of... more We find asymptotically flat black hole and string solutions to 5D supergravity in the presence of higher derivative terms. In some cases, including the fundamental heterotic string solution, the higher derivative terms smooth out naked singularities into regular geometries carrying zero entropy. We also compute corrections to the entropy of 5D Calabi-Yau black holes, and discuss the relation to previous results.

Research paper thumbnail of String Theory Effects on Five-Dimensional Black Hole Physics

International Journal of Modern Physics A, 2008

We review recent developments in understanding quantum/string corrections to BPS black holes and ... more We review recent developments in understanding quantum/string corrections to BPS black holes and strings in five-dimensional supergravity. These objects are solutions to the effective action obtained from M-theory compactified on a Calabi-Yau threefold, including the one-loop corrections determined by anomaly cancellation and supersymmetry. We introduce the off-shell formulation of this theory obtained through the conformal supergravity method and review the methods for investigating supersymmetric solutions. This leads to quantum/string corrected attractor geometries, as well as asymptotically flat black strings and spinning black holes. With these solutions in hand, we compare our results with analogous studies in four-dimensional string-corrected supergravity, emphasizing the distinctions between the four and five dimensional theories.

Research paper thumbnail of Holographic description of AdS2 black holes

Journal of High Energy Physics, 2008

We develop the holographic renormalization of AdS 2 gravity systematically. We find that a bulk M... more We develop the holographic renormalization of AdS 2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations that preserve the boundary conditions. We determine the energy-momentum tensor and the central charge, recovering recent results by Hartman and Strominger. We show that our expressions are consistent with dimensional reduction of the AdS 3 energy-momentum tensor and the Brown-Henneaux central charge. As an application of our results we interpret the entropy of AdS 2 black holes as the ground state entropy of a dual CFT.

Research paper thumbnail of Precision entropy of spinning black holes

Journal of High Energy Physics, 2007

We construct spinning black hole solutions in five dimensions that take into account the mixed ga... more We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion. The resulting entropy formula is discussed from several points of view. We include a Taub-NUT base space in order to test recent conjectures relating 5D black holes to 4D black holes and the topological string. Our explicit results show that certain charge shifts have to be taken into account for these relations to hold. We also compute corrections to the entropy of black rings in terms of near horizon data.

Research paper thumbnail of Near extremal Kerr entropy from AdS2 quantum gravity

Journal of High Energy Physics, 2009

We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using t... more We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the same central charge) that acts on the degenerate ground state. The energy of the excitations is computed as well, and we can use Cardy's formula to determine the near extremal entropy. Our result is consistent with the Bekenstein-Hawking area law for near extremal Kerr black holes.

Research paper thumbnail of Three dimensional origin of AdS 2 quantum gravity

Journal of High Energy Physics, 2010

We study AdS2 quantum gravity with emphasis on consistency with results from AdS3. We lift AdS2 b... more We study AdS2 quantum gravity with emphasis on consistency with results from AdS3. We lift AdS2 black holes to three dimensions and map fluctuations around the solutions. Comparison with near extremal BTZ are discussed, with due emphasis on global aspects. The results confirm that parameters like central charges and conformal weights computed directly in 2D are consistent with standard results in 3D. Applying our results to the thermodynamics of near extreme Kerr black holes, we show that AdS2 quantum gravity gives the correct central charge c = 12J, and the entropy of excitations above the extremal limit is captured correctly.

Research paper thumbnail of 5D attractors with higher derivatives

Journal of High Energy Physics, 2007

We analyze higher derivative corrections to attractor geometries in five dimensions. We find corr... more We analyze higher derivative corrections to attractor geometries in five dimensions. We find corrected AdS_3xS^2 geometries by solving the equations of motion coming from a recently constructed four-derivative supergravity action in five dimensions. The result allows us to explicitly verify a previous anomaly based derivation of the AdS_3 central charges of this theory. Also, by dimensional reduction we compare our results with those of the 4D higher derivative attractor, and find complete agreement.

Research paper thumbnail of 5D black holes and strings with higher derivatives

Journal of High Energy Physics, 2007

We find asymptotically flat black hole and string solutions to 5D supergravity in the presence of... more We find asymptotically flat black hole and string solutions to 5D supergravity in the presence of higher derivative terms. In some cases, including the fundamental heterotic string solution, the higher derivative terms smooth out naked singularities into regular geometries carrying zero entropy. We also compute corrections to the entropy of 5D Calabi-Yau black holes, and discuss the relation to previous results.

Research paper thumbnail of String Theory Effects on Five-Dimensional Black Hole Physics

International Journal of Modern Physics A, 2008

We review recent developments in understanding quantum/string corrections to BPS black holes and ... more We review recent developments in understanding quantum/string corrections to BPS black holes and strings in five-dimensional supergravity. These objects are solutions to the effective action obtained from M-theory compactified on a Calabi-Yau threefold, including the one-loop corrections determined by anomaly cancellation and supersymmetry. We introduce the off-shell formulation of this theory obtained through the conformal supergravity method and review the methods for investigating supersymmetric solutions. This leads to quantum/string corrected attractor geometries, as well as asymptotically flat black strings and spinning black holes. With these solutions in hand, we compare our results with analogous studies in four-dimensional string-corrected supergravity, emphasizing the distinctions between the four and five dimensional theories.