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Hierarchies from Fluxes in String Compactifications

by Steven B. Giddings, Shamit Kachru, Joseph Polchinski , 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 ..."
Abstract - Cited by 715 (33 self) - Add to MetaCart
and F-theory compactifications on Calabi-Yau four-folds. 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 Klebanov-Strassler gravity dual to a confining N = 1 supersymmetric gauge theory

Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties

by Victor V. Batyrev - 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 n-dimensional Newton polyhedron ∆ in n-dimensional algebraic torus T = (C ∗ ) n. If the family F(∆) defined by ..."
Abstract - Cited by 467 (20 self) - Add to MetaCart
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 n-dimensional Newton polyhedron ∆ in n-dimensional algebraic torus T = (C ∗ ) n. If the family F(∆) defined

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

by M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa - 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 ..."
Abstract - Cited by 540 (59 self) - Add to MetaCart
’ 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 Calabi-Yau flux compactifications

by V. Balasubramanian, P. Berglund, J. P. Conlon, F. Quevedo - JHEP , 2005
"... We study the large volume limit of the scalar potential in Calabi-Yau 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 non-supersymmetric AdS minimum at exponentially large volume. ..."
Abstract - Cited by 73 (15 self) - Add to MetaCart
We study the large volume limit of the scalar potential in Calabi-Yau 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 non-supersymmetric AdS minimum at exponentially large volume

Flux Compactifications on Calabi-yau Threefolds

by Alexander Giryavets , Shamit Kachru , Prasanta K. Tripathy , Sandip P. Trivedi , 2004
"... The presence of RR and NS three-form fluxes in type IIB string compactification on a Calabi-Yau 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 Calabi-Yau manifold. In this ..."
Abstract - Cited by 9 (0 self) - Add to MetaCart
The presence of RR and NS three-form fluxes in type IIB string compactification on a Calabi-Yau 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 Calabi-Yau manifold

String compactifications on Calabi-Yau stacks

by Tony Pantev, Eric Sharpe , 2005
"... In this paper we study string compactifications on Deligne-Mumford 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 effectively-acting. Such presentations are not unique, and lead to ph ..."
Abstract - Cited by 3 (2 self) - Add to MetaCart
In this paper we study string compactifications on Deligne-Mumford 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 effectively-acting. Such presentations are not unique, and lead

The many symmetries of Calabi-Yau compactifications

by Moataz H. Emam
"... ar ..."
Abstract - Cited by 4 (4 self) - Add to MetaCart
Abstract not found

Modular Constraints on Calabi-Yau Compactifications

by Christoph A. Keller, Hirosi Ooguri , 2012
"... ar ..."
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Abstract not found

Negative Energy Density in Calabi-Yau Compactifications

by Thomas Hertog, Gary T. Horowitz, Kengo Maeda , 2003
"... We show that a large class of supersymmetric compactifications, including all simply connected Calabi-Yau 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 Calabi-Yau 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 Calabi-Yau 3-folds for string theory compactifications, arxiv:math.AG/9912179. 45 [UY86] [Wit96

by R. P. Thomas - C1 = 0 and χ = −6. In Mathematical aspects of string theory (San Diego, Calif , 1986
"... compactifications ..."
Abstract - Cited by 20 (0 self) - Add to MetaCart
compactifications
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