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595
Hierarchies from Fluxes in String Compactifications
, 2002
"... Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of IIB string theory a ..."
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Cited by 715 (33 self)
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and Ftheory compactifications on CalabiYau fourfolds. In each case, the hierarchy of scales is fixed by a choice of RR and NS fluxes in the compact manifold. Our solutions involve compactifications of the KlebanovStrassler gravity dual to a confining N = 1 supersymmetric gauge theory
Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties
 J. Alg. Geom
, 1994
"... We consider families F(∆) consisting of complex (n − 1)dimensional projective algebraic compactifications of ∆regular affine hypersurfaces Zf defined by Laurent polynomials f with a fixed ndimensional Newton polyhedron ∆ in ndimensional algebraic torus T = (C ∗ ) n. If the family F(∆) defined by ..."
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Cited by 467 (20 self)
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We consider families F(∆) consisting of complex (n − 1)dimensional projective algebraic compactifications of ∆regular affine hypersurfaces Zf defined by Laurent polynomials f with a fixed ndimensional Newton polyhedron ∆ in ndimensional algebraic torus T = (C ∗ ) n. If the family F(∆) defined
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
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Cited by 540 (59 self)
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’ of holomorphic curves of higher genus curves in Calabi–Yau manifolds. It is shown that topological amplitudes can also be reinterpreted as computing corrections to superpotential terms appearing in the effective 4d theory resulting from compactification of standard 10d superstrings on the corresponding N = 2
Systematics of moduli stabilisation in CalabiYau flux compactifications
 JHEP
, 2005
"... We study the large volume limit of the scalar potential in CalabiYau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated nonsupersymmetric AdS minimum at exponentially large volume. ..."
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Cited by 73 (15 self)
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We study the large volume limit of the scalar potential in CalabiYau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated nonsupersymmetric AdS minimum at exponentially large volume
Flux Compactifications on Calabiyau Threefolds
, 2004
"... The presence of RR and NS threeform fluxes in type IIB string compactification on a CalabiYau orientifold gives rise to a nontrivial superpotential W for the dilaton and complex structure moduli. This superpotential is computable in terms of the period integrals of the CalabiYau manifold. In this ..."
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Cited by 9 (0 self)
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The presence of RR and NS threeform fluxes in type IIB string compactification on a CalabiYau orientifold gives rise to a nontrivial superpotential W for the dilaton and complex structure moduli. This superpotential is computable in terms of the period integrals of the CalabiYau manifold
String compactifications on CalabiYau stacks
, 2005
"... In this paper we study string compactifications on DeligneMumford stacks. The basic idea is that all such stacks have presentations to which one can associate gauged sigma models, where the group gauged need be neither finite nor effectivelyacting. Such presentations are not unique, and lead to ph ..."
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Cited by 3 (2 self)
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In this paper we study string compactifications on DeligneMumford stacks. The basic idea is that all such stacks have presentations to which one can associate gauged sigma models, where the group gauged need be neither finite nor effectivelyacting. Such presentations are not unique, and lead
Negative Energy Density in CalabiYau Compactifications
, 2003
"... We show that a large class of supersymmetric compactifications, including all simply connected CalabiYau and G2 manifolds, have classical configurations with negative energy density as seen from four dimensions. In fact, the energy density can be arbitrarily negative – it is unbounded from below. N ..."
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We show that a large class of supersymmetric compactifications, including all simply connected CalabiYau and G2 manifolds, have classical configurations with negative energy density as seen from four dimensions. In fact, the energy density can be arbitrarily negative – it is unbounded from below
Examples of bundles on CalabiYau 3folds for string theory compactifications, arxiv:math.AG/9912179. 45 [UY86] [Wit96
 C1 = 0 and χ = −6. In Mathematical aspects of string theory (San Diego, Calif
, 1986
"... compactifications ..."
Results 1  10
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