Results 1  10
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54
Distributions of flux vacua
 JHEP
"... Abstract: We give results for the distribution and number of flux vacua of various types, supersymmetric and nonsupersymmetric, in IIb string theory compactified on CalabiYau manifolds. We compare this with related problems such as counting attractor points. Contents ..."
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Cited by 115 (17 self)
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Abstract: We give results for the distribution and number of flux vacua of various types, supersymmetric and nonsupersymmetric, in IIb string theory compactified on CalabiYau manifolds. We compare this with related problems such as counting attractor points. Contents
BPS black hole degeneracies and minimal automorphic representations
 JHEP
"... Preprint typeset in JHEP style PAPER VERSION hepth/0506228 ..."
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Cited by 31 (8 self)
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Preprint typeset in JHEP style PAPER VERSION hepth/0506228
Topological string amplitudes, complete intersection Calabi–Yau spaces and threshold corrections
, 2005
"... ..."
Supersymmetric multiple basin attractors
 JHEP 9911
, 1999
"... We explain that supersymmetric attractors in general have several critical points due to the algebraic nature of the stabilization equations. We show that the critical values of the cosmological constant of the adS5 vacua are given by the topological (moduli independent) formulae analogous to the en ..."
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Cited by 21 (4 self)
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We explain that supersymmetric attractors in general have several critical points due to the algebraic nature of the stabilization equations. We show that the critical values of the cosmological constant of the adS5 vacua are given by the topological (moduli independent) formulae analogous to the entropy of the d=5 supersymmetric black holes. We present conditions under which more than one critical point is available (for black hole entropy as well as to the cosmological constant) so that the system tends to its own locally stable attractor point. We have found several families of Z2symmetric critical points of adS5 throat which may be associated with the vanishing d=4 cosmological constant. 1 1. The concept of supersymmetric attractors with respect to black hole entropy was introduced in [1]. The socalled stabilization equations [2, 3] for the behaviour of the moduli near the charged extremal black holes horizon have been studied extensively during the last few years. It has been established that the supersymmetric fixed points of the theory correspond to the minimum of the central charge 1 in the physical part of the moduli space, when the metric is
Instanton strings and HyperKahler geometry
 Nucl. Phys
, 1999
"... hepth/9810210 utfa98/26 spin98/4 ..."
Rational conformal field theories and complex multiplication,” arXiv:hepth/0203213
"... We study the geometric interpretation of two dimensional rational conformal field theories, corresponding to sigma models on CalabiYau manifolds. We perform a detailed study of RCFT’s corresponding to T 2 target and identify the Cardy branes with geometric branes. The T 2 ’s leading to RCFT’s admit ..."
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Cited by 16 (2 self)
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We study the geometric interpretation of two dimensional rational conformal field theories, corresponding to sigma models on CalabiYau manifolds. We perform a detailed study of RCFT’s corresponding to T 2 target and identify the Cardy branes with geometric branes. The T 2 ’s leading to RCFT’s admit “complex multiplication ” which characterizes Cardy branes as specific D0branes. We propose a condition for the conformal sigma model to be RCFT for arbitrary CalabiYau nfolds, which agrees with the known cases. Together with recent conjectures by mathematicians it appears that rational conformal theories are not dense in the space of all conformal theories, and sometimes appear to be finite in number for CalabiYau nfolds for n> 2. RCFT’s on K3 may be dense. We speculate about the meaning of these special points in the moduli spaces of CalabiYau nfolds in connection with freezing geometric moduli. March
LandauSiegel zeroes and black hole entropy,” arXiv:hepth/9903267
"... There has been some speculation about relations of Dbrane models of black holes to arithmetic. In this note we point out that some of these speculations have implications for a circle of questions related to the generalized Riemann hypothesis on the zeroes of Dirichlet Lfunctions. ..."
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Cited by 12 (5 self)
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There has been some speculation about relations of Dbrane models of black holes to arithmetic. In this note we point out that some of these speculations have implications for a circle of questions related to the generalized Riemann hypothesis on the zeroes of Dirichlet Lfunctions.
On discrete twist and fourflux in N = 1 heterotic/F theory compactifications
 Adv. Theor. Math. Phys
, 1999
"... We give an indirect argument for the matching G2 = −π∗γ2 of fourflux and discrete twist in the duality between N = 1 heterotic string and Ftheory. This treats in detail the Euler number computation for the physically relevant case of a CalabiYau fourfold with singularities. 1 bandreas@physics.unc ..."
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Cited by 9 (0 self)
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We give an indirect argument for the matching G2 = −π∗γ2 of fourflux and discrete twist in the duality between N = 1 heterotic string and Ftheory. This treats in detail the Euler number computation for the physically relevant case of a CalabiYau fourfold with singularities. 1 bandreas@physics.unc.edu, supported by U.S. DOE grant DEFG0585ER40219/Task A.
Observations on the Darboux coordinates for rigid special geometry
 JHEP
"... We exploit some relations which exist when (rigid) special geometry is formulated in real symplectic special coordinates P I = (pΛ,qΛ) , I = 1,...,2n. The central role of the real 2n×2n matrix M(ℜF, ℑF), where F = ∂Λ∂ΣF and F is the holomorphic prepotential, is elucidated in the real formalism. The ..."
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Cited by 4 (2 self)
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We exploit some relations which exist when (rigid) special geometry is formulated in real symplectic special coordinates P I = (pΛ,qΛ) , I = 1,...,2n. The central role of the real 2n×2n matrix M(ℜF, ℑF), where F = ∂Λ∂ΣF and F is the holomorphic prepotential, is elucidated in the real formalism. The property MΩM = Ω, where Ω is the invariant symplectic form, is used to prove several identities in the Darboux formulation. In this setting the matrix M coincides with the (negative of the) Hessian matrix H(S) = of a certain hamiltonian real function S(P), which also provides the metric of the special Kähler manifold. When S(P) = S(U + Ū) is regarded as a “Kähler potential ” of a ∂2 S ∂P I ∂P J complex manifold with coordinates U I = 1 2 (P I + iZ I), it provides a Kähler metric of a hyperkähler manifold, which describes the hypermultiplet geometry obtained by cmap from the original ndimensional special Kähler structure. 1 1
The entropic principle and asymptotic freedom
"... Motivated by the recent developments about the HartleHawking wave function associated to black holes, we formulate an entropy functional on the moduli space of CalabiYau compactifications. We find that the maximization of the entropy is correlated with the appearance of asymptotic freedom in the e ..."
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Cited by 4 (0 self)
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Motivated by the recent developments about the HartleHawking wave function associated to black holes, we formulate an entropy functional on the moduli space of CalabiYau compactifications. We find that the maximization of the entropy is correlated with the appearance of asymptotic freedom in the effective field theory. The points where the entropy is maximized correspond to points on the moduli which are maximal intersection points of walls of marginal stability for BPS states. We also find an intriguing link between extremizing the entropy functional and the points on the moduli space of CalabiYau threefolds which admit a ‘quantum deformed ’ complex multiplication.