Generalized Mirror Symmetry and Quantum Black Hole Entropy

We find general relations between the on-shell gravitational trace anomaly A_N, and the logarithmic correction Delta S_N to the entropy of "large" BPS extremal black holes in N>1 supergravity theories in D=4 space-time dimensions (recently computed by Sen [arXiv:1108.3842]). For (genera...

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Detalles Bibliográficos
Autores principales: Ferrara, Sergio, Marrani, Alessio
Lenguaje:eng
Publicado: 2011
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2011.12.005
http://cds.cern.ch/record/1379698
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author Ferrara, Sergio
Marrani, Alessio
author_facet Ferrara, Sergio
Marrani, Alessio
author_sort Ferrara, Sergio
collection CERN
description We find general relations between the on-shell gravitational trace anomaly A_N, and the logarithmic correction Delta S_N to the entropy of "large" BPS extremal black holes in N>1 supergravity theories in D=4 space-time dimensions (recently computed by Sen [arXiv:1108.3842]). For (generalized) self-mirror theories (all having A_N = 0), we obtain the result DeltaS_N = - Delta S_(8-N) = 2 - N/2, whereas for generic theories the trace anomaly tildeA_N of the fully dualized theory turns out to coincide with 2Delta S_N, up to a model-independent shift: tildeA_N = 2Delta S_N - 1. We also speculate on N=1 theories displaying "large" extremal black hole solutions.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-13796982023-03-14T16:48:15Zdoi:10.1016/j.physletb.2011.12.005http://cds.cern.ch/record/1379698engFerrara, SergioMarrani, AlessioGeneralized Mirror Symmetry and Quantum Black Hole EntropyParticle Physics - TheoryWe find general relations between the on-shell gravitational trace anomaly A_N, and the logarithmic correction Delta S_N to the entropy of "large" BPS extremal black holes in N>1 supergravity theories in D=4 space-time dimensions (recently computed by Sen [arXiv:1108.3842]). For (generalized) self-mirror theories (all having A_N = 0), we obtain the result DeltaS_N = - Delta S_(8-N) = 2 - N/2, whereas for generic theories the trace anomaly tildeA_N of the fully dualized theory turns out to coincide with 2Delta S_N, up to a model-independent shift: tildeA_N = 2Delta S_N - 1. We also speculate on N=1 theories displaying "large" extremal black hole solutions.We find general relations between the on-shell gravitational trace anomaly AN , and the logarithmic correction ΔSN to the entropy of “large” BPS extremal black holes in N⩾2 supergravity theories in D=4 space–time dimensions (recently computed by Sen, 2011 [1] ). For (generalized) self-mirror theories (all having AN=0 ), we obtain the result ΔSN=−ΔS8−N=2−N/2 , whereas for generic theories the trace anomaly A˜N of the fully dualized theory turns out to coincide with 2ΔSN , up to a model-independent shift: A˜N=2ΔSN−1 . We also speculate on N=1 theories displaying “large” extremal black hole solutions.We find general relations between the on-shell gravitational trace anomaly A_N, and the logarithmic correction Delta S_N to the entropy of "large" BPS extremal black holes in N>1 supergravity theories in D=4 space-time dimensions (recently computed by Sen [arXiv:1108.3842]). For (generalized) self-mirror theories (all having A_N = 0), we obtain the result DeltaS_N = - Delta S_(8-N) = 2 - N/2, whereas for generic theories the trace anomaly tildeA_N of the fully dualized theory turns out to coincide with 2Delta S_N, up to a model-independent shift: tildeA_N = 2Delta S_N - 1. We also speculate on N=1 theories displaying "large" extremal black hole solutions.arXiv:1109.0444CERN-PH-TH-2011-216CERN-PH-TH-2011-216oai:cds.cern.ch:13796982011-09-05
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Marrani, Alessio
Generalized Mirror Symmetry and Quantum Black Hole Entropy
title Generalized Mirror Symmetry and Quantum Black Hole Entropy
title_full Generalized Mirror Symmetry and Quantum Black Hole Entropy
title_fullStr Generalized Mirror Symmetry and Quantum Black Hole Entropy
title_full_unstemmed Generalized Mirror Symmetry and Quantum Black Hole Entropy
title_short Generalized Mirror Symmetry and Quantum Black Hole Entropy
title_sort generalized mirror symmetry and quantum black hole entropy
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2011.12.005
http://cds.cern.ch/record/1379698
work_keys_str_mv AT ferrarasergio generalizedmirrorsymmetryandquantumblackholeentropy
AT marranialessio generalizedmirrorsymmetryandquantumblackholeentropy

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