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Generalized Black Holes in Threedimensional Spacetime
, 2014
"... Threedimensional spacetime with a negative cosmological constant has proven to be a remarkably fertile ground for the study of gravity and higher spin fields. The theory is topological and, since there are no propagating field degrees of freedom, the asymptotic symmetries become all the more cruc ..."
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Threedimensional spacetime with a negative cosmological constant has proven to be a remarkably fertile ground for the study of gravity and higher spin fields. The theory is topological and, since there are no propagating field degrees of freedom, the asymptotic symmetries become all the more crucial. For pure (2+1) gravity they consist of two copies of the Virasoro algebra. There exists a black hole which may be endowed with all the corresponding charges. The pure (2+1) gravity theory may be reformulated in terms of two ChernSimons connections for sl (2,R). This permits an immediate generalization which may be interpreted as containing gravity and a finite number of higher spin fields. The generalization is achieved by replacing sl (2,R) by sl (3,R) or, more generally, by sl (N,R). The asymptotic symmetries are then two copies of the socalledWN algebra, which contains the Virasoro algebra as a subalgebra. The question then arises as to whether there exists a generalization of the standard pure gravity (2+1) black hole which would be endowed with all the WN charges. Since the generalized ChernSimons theory does not admit a direct metric interpretation, one must define the black hole in Euclidean spacetime through its thermal properties, and then continue to Lorentzian spacetime. The original pioneer
Relative entropy in higher spin holography
, 2014
"... We examine relative entropy in the context of the higherspin/CFT duality. We consider 3d bulk configurations in higher spin gravity which are dual to low and high temperature states of a CFT with Walgebra symmetries in presence of a chemical potential for a higher spin current. The relative entr ..."
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We examine relative entropy in the context of the higherspin/CFT duality. We consider 3d bulk configurations in higher spin gravity which are dual to low and high temperature states of a CFT with Walgebra symmetries in presence of a chemical potential for a higher spin current. The relative entropy between these states is then evaluated using the Wilson line functional for holographic entanglement entropy. In the limit of small entangling intervals, the relative entropy should vanish for a generic quantum system. We confirm this behaviour by showing that the difference in the modular Hamiltonian between the states matches with the difference in the entanglement entropy in the shortdistance regime. Additionally, we compute the relative entropy between states corresponding to smooth solutions in the SL(2,Z) family.
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, 2005
"... Hostbased Intrusion Detection Systems can be used to determine if a system has been compromised and can warn administrators if that happens. We recognize four different methods of hostbased intrusion detection: • Filesystem monitoring. • Logfile analysis. • Connection analysis. • Kernelbased intr ..."
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Hostbased Intrusion Detection Systems can be used to determine if a system has been compromised and can warn administrators if that happens. We recognize four different methods of hostbased intrusion detection: • Filesystem monitoring. • Logfile analysis. • Connection analysis. • Kernelbased intrusion detection. Implementations of intrusion detection systems generally use one of these four methods to detect intrusions. We have studied multiple implementations, determined their features, ways of evading their restrictions and ways to prevent evasion. We have also given insight into the reasons why certain systems should or should not be used and to what extent, based on their effectiveness and ease of
Prepared for submission to JHEP Black Holes in the 3D Higher Spin Theory and Their Quasi Normal Modes
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Prepared for submission to JHEP Probing higher spin black holes from CFT
"... Abstract: In a class of 2D CFTs with higher spin symmetry, we compute thermal twopoint functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same quantity calculated holographically using scalar fields ..."
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Abstract: In a class of 2D CFTs with higher spin symmetry, we compute thermal twopoint functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same quantity calculated holographically using scalar fields propagating in a charged black hole background of 3D higher spin gravity. This match serves as further evidence for the duality between WN minimal models at large central charge and 3D higher spin gravity. It also supports a recent prescription for computing boundary correlators of ‘multitrace ’ scalar primary operators in higher spin theories. ar X iv
Unravelling Holographic Entanglement Entropy in Higher Spin Theories
"... Abstract: There are two proposals that compute holographic entanglement entropy in AdS 3 higher spin theories based on SL(N, R) ChernSimons theory. We show explicitly that these two proposals are equivalent. We also designed two methods that solve systematically the equations for arbitrary N . For ..."
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Abstract: There are two proposals that compute holographic entanglement entropy in AdS 3 higher spin theories based on SL(N, R) ChernSimons theory. We show explicitly that these two proposals are equivalent. We also designed two methods that solve systematically the equations for arbitrary N . For finite charge backgrounds in AdS 3 , we find exact agreement between our expressions and the short interval correction of the entanglement entropy for an excited state in a CFT 2 .