Compactifications of heterotic theory on non-Kähler complex manifolds, I

By K. Becker, M. Becker, Keshav Dasgupta, P. Green. 2003

266 citations recorded by the source corpus.

We study new compactifications of the SO(32) heterotic string theory on compact complex non-K?hler manifolds. These manifolds have many interesting features like fewer moduli, torsional constraints, vanishing Euler character and vanishing first Chern class, which make the four-dimensional theory phenomenologically attractive. We take a particular compact example studied earlier and determine various geometrical properties of it. In particular we calculate the warp factor and study the sigma model description of strings propagating on these backgrounds. The anomaly cancellation condition and enhanced gauge symmetry are shown to arise naturally in this framework, if one considers the effect of singularities carefully. We then give a detailed mathematical analysis of these manifolds and construct a large class of them. The existence of a holomorphic (3,0) form is important for the construction. We clarify some of the topological properties of these manifolds and evaluate the Betti numbers. We also determine the superpotential and argue that the radial modulus of these manifolds can actually be stabilized.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3c76c649bc36b830d9149784a97aaa76c87d3121

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In Geometry and Topology

1. D. Martelli
2. Shing-Tung Yau
3. J. Sparks
4. C. Vafa
5. J. Gauntlett
6. R. Dijkgraaf
7. Sergei Gukov
8. D. Waldram

In Mathematical Physics

1. D. Lust
2. Ralph Blumenhagen
3. C. Vafa
4. R. Dijkgraaf
5. Sergei Gukov
6. B. Kors
7. Andrei Linde
8. E. Witten

In Nuclear and High Energy Physics

1. D. Lust
2. M. Graña
3. Ralph Blumenhagen
4. Thomas W. Grimm
5. R. Kallosh
6. Eran Palti
7. F. Quevedo
8. S. Kachru

Citations in the corpus

• Calabi-Yau connections with torsion on toric bundles (2003, unknown): “D”
• Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory (2006, background): “The non-trivial twisting has an effect on the de Rham cohomology of the compactification manifold X [13,21].”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “More and also subsequent work on that subject can be found in [142, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541].”
• De Sitter vacua in string theory (2003, background): “It should also be possible to make similar constructions in the heterotic theory, perhaps using the models of [56] as a starting point (and then incorporating a mechanism to stabilize the dilaton in a controlled manner).”
• Topological M-theory as unification of form theories of gravity (2004, background): “This relation can be extended to 6-manifolds with SU(3) structure which play an important role in understanding the space of string vacua with minimal (N = 1) supersymmetry, and which we briefly review in this appendix; see [77,78,79,80,81,82,83,84,85] for more details.”
• Superstrings with intrinsic torsion (2003, background): “It would also be interesting to relate our compactifications to those of [49, 50, 51].”
• Compactifications of heterotic strings on non-Kähler complex manifolds II (2003, methodology): “All these solutions were shown to have zero Euler characteristics [16],[17].”
• Compactification with Flux on K3 and Tori (2003, background): “While this manuscript was in preparation we became aware of [ 33 ], which”