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Unstable solitons in noncommutative gauge theory
"... We find a class of exact solutions of noncommutative gauge theories corresponding to unstable non-BPS solitons. In the two-dimensional euclidean (or 2+1 dimensional lorentzian) U(1) theory we find localized solutions carrying nonzero magnetic flux. In four euclidean dimensions we find non-BPS soluti ..."
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Cited by 72 (1 self)
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We find a class of exact solutions of noncommutative gauge theories corresponding to unstable non-BPS solitons. In the two-dimensional euclidean (or 2+1 dimensional lorentzian) U(1) theory we find localized solutions carrying nonzero magnetic flux. In four euclidean dimensions we find non-BPS solutions with the same Pontrjagin charge but greater energy than the usual self-dual Yang-Mills instanton. We conjecture that these solutions and generalizations thereof correspond to nonsupersymmetric configurations of D-(p − 2k) branes (or intersections thereof) in a D-p brane in the noncommutative scaling limit of large B-field. In the particular case of a 0-brane on a 2-brane the analysis of small fluctuations reveals an infinite tower of states which agrees exactly with that of the 0 − 2 CFT in the scaling limit. The spectrum contains a tachyon, and we show explicitly that
Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
, 2007
"... We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this claim from AdS3/CFT2. We also analytically compute the entangl ..."
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Cited by 48 (8 self)
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We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this claim from AdS3/CFT2. We also analytically compute the entanglement entropy in the two dimensional CFT of a free Dirac fermion compactified on a circle at finite temperature. From this result, we clarify the relation between the thermal entropy and entanglement entropy, which is essential for the entanglement interpretation of black hole entropy.
BPS states, string duality, and nodal curves on K3, hep– th/9512121; L. Göttsche, A conjectural generating function for numbers of curves on surfaces, alggeom/9711012
"... We describe the counting of BPS states of Type II on K3 by relating the supersymmetric cycles of genus g to the number of rational curves with g double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string 12/95 ..."
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Cited by 44 (0 self)
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We describe the counting of BPS states of Type II on K3 by relating the supersymmetric cycles of genus g to the number of rational curves with g double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string 12/95
Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
, 1947
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On the Microscopic Perspective of Black Branes Thermodynamic Geometry
, 2008
"... In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and non-extremal black branes and outline an origin of the interactions among various microstates of a given black brane configuration from the perspective of an intrinsic Riema ..."
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Cited by 14 (13 self)
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In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and non-extremal black branes and outline an origin of the interactions among various microstates of a given black brane configuration from the perspective of an intrinsic Riemannian geometry arising from the coarse graining entropy over a large number of microstates. We have analyzed the state-space geometry in the case of various extremal and non-extremal black branes arising from the string theories, multi-centered black brane configurations, small black holes with fractional branes, fuzzy rings in the set up of Mathur’s fuzzballs and subensemble theory, as well as that the black brane foams from the considerations of bubbling black brane solutions in the M-theory. We have further shown that there exists a clear mechanism on the black brane side that describes the notion of associated interactions in the state-space or vice-versa. We thus find that in all such cases there are no singularities in the state-space manifold of these
Classical hair in string theory II: Explicit calculations
"... After emphasizing the importance of obtaining a space-time understanding of black hole entropy, we further elaborate our program to identify the degrees of freedom of black holes with classical spacetime degrees of freedom. The Cvetič-Youm dyonic black holes are discussed in some detail as an exampl ..."
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Cited by 3 (3 self)
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After emphasizing the importance of obtaining a space-time understanding of black hole entropy, we further elaborate our program to identify the degrees of freedom of black holes with classical spacetime degrees of freedom. The Cvetič-Youm dyonic black holes are discussed in some detail as an example. In this example hair degrees of freedom transforming as an effective string can be identified explicitly. We discuss issues concerning charge quantization, identification of winding, and tension renormalization that arise in counting the associated degrees of freedom. The possibility of other forms of hair in this example, and the prospects for making contact with D-brane ideas, are briefly considered.
Counting BPS states on the Enriques Calabi-Yau
, 2006
"... We study topological string amplitudes for the FHSV model using various techniques. This model has a type II realization involving a Calabi-Yau threefold with Enriques fibres, which we call the Enriques Calabi-Yau. By applying heterotic/type IIA duality, we compute the topological amplitudes in the ..."
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Cited by 1 (0 self)
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We study topological string amplitudes for the FHSV model using various techniques. This model has a type II realization involving a Calabi-Yau threefold with Enriques fibres, which we call the Enriques Calabi-Yau. By applying heterotic/type IIA duality, we compute the topological amplitudes in the fibre to all genera. It turns out that there are two different ways to do the computation that lead to topological couplings with different BPS content. One of them gives the standard D0-D2 counting amplitudes, and from the other one we obtain information about bound states of D0-D4-D2 branes on the Enriques fibre. We also study the model using mirror symmetry and the holomorphic anomaly equations. We verify in this way the heterotic results for the D0-D2 generating functional for low genera and find closed expressions for the topological amplitudes on the total space in terms of modular forms, and up to genus three. This model turns out to be much simpler than the generic B-model and might be exactly solvable.
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"... Corrections to the statistical entropy of five dimensional black holes This article has been downloaded from IOPscience. Please scroll down to see the full text article. JHEP06(2009)024 ..."
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Corrections to the statistical entropy of five dimensional black holes This article has been downloaded from IOPscience. Please scroll down to see the full text article. JHEP06(2009)024
