New supersymmetric string compactifications

By S. Kachru, M. Schulz, P. Tripathy, S. Trivedi. 2002

381 citations recorded by the source corpus.

We describe a new class of supersymmetric string compactifications to 4d Minkowski space. These solutions involve type II strings propagating on (orientifolds of) non Calabi-Yau spaces in the presence of background NS and RR fluxes. The simplest examples have descriptions as cosets, generalizing the three-dimensional nilmanifold. They can also be thought of as twisted tori. We derive a formula for the (super) potential governing the light fields, which is generated by the fluxes and certain "twists" in the geometry. Detailed consideration of an example also gives strong evidence that in some cases, these exotic geometries are related by smooth transitions to standard Calabi-Yau or G(2) compactifications of M-theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2c8be90e41a46e099ef22761da88d855ce6cc105

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Graña
2. D. Lust
3. Eran Palti
4. Ralph Blumenhagen
5. Gary Shiu
6. J. Louis
7. F. Marchesano
8. S. Kachru

In Nuclear and High Energy Physics

1. D. Lust
2. M. Graña
3. Eran Palti
4. Ralph Blumenhagen
5. D. Marqués
6. C. Nuñez
7. D. Waldram
8. Thomas W. Grimm

Citations in the corpus

• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “Such geometric fluxes arise naturally from mirror symmetry to Type IIB flux compactifications and contribute both to the RR tadpole cancellation conditions as well as to the superpotential [416, 417].”
• Simple de Sitter solutions (2007, methodology): “given radius is not the simple one considered in [32].”
• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, neutral): “A, Venezuela.”
• Flux compactifications in string theory: A Comprehensive review (2005, background): “Refs.[85, 86] for example, constructed IIB type C solutions on twisted tori (see [87]), starting from type B solutions on orientifolded (by O3’s) tori.”
• Double field theory: a pedagogical review (2013, background): “The ideas introduced in [56, 57, 58, 59] led to the development of non-geometry, and T-dual non-geometric fluxes were named as such in [60] (see also [61]).”
• T-duality and closed string non-commutative (doubled) geometry (2010, background): “We will give some evidence that for certain geometrical backgrounds, namely for geometric flux compactifications on twisted tori [19, 20, 21, 22, 23, 24, 25, 26], space with coordinates becomes non-commutative.”
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation (2006, background): “Since we demand that the internal six manifold X is a complex manifold with a non-vanishing holomorphic three form Ω, we consider the T 2−bundle (X,ω,Ω) over a complex surface (S, ωS ,ΩS) with a non-vanishing holomorphic 2-form ΩS .”
• Nongeometric flux compactifications (2005, methodology): “Following [11], we take this square three-torus with H-flux and perform a T-duality on the x direction.”
• Compactification with Flux on K3 and Tori (2003, methodology): “15 Note that The general expression for the superpotential in [25] after T-dualizing along both x and y appears with terms containing ˆ̃ F 5(xy) , F̂1 and Ĥ3 but are absent here in the superpotential (7.”
• Compactifications of heterotic theory on non-Kähler complex manifolds, I (2003, methodology): “As discussed in [11] and [28], the fact that G3 is of type (2,1) guarantees, that we have at least an N = 1 supersymmetry.”
• Supersymmetric sources, integrability and generalized-structure compactifications (2007, neutral): “G3 – a so-called type B solution – and apply two T-dualities, ending up with a nilmanifold. This was first considered in [ 30 ].”
• Non‐geometric fluxes in supergravity and double field theory (2012, background): “2) was first inspired by the famous toroidal example worked out in [68, 69] and recalled in [4].”
• Lectures on nongeometric flux compactifications (2007, background): “It was argued in [14] that nongeometric spaces show up as duals of known flux compactifications.”