Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory
By K. Becker, M. Becker, Jixiang Fu, L. Tseng, Shing-Tung Yau. 2006
136 citations recorded by the source corpus.
We show that six-dimensional backgrounds that are T 2 bundle over a Calabi–Yau two-fold base are consistent smooth solutions of heterotic flux compactifications. We emphasize the importance of the anomaly cancellation condition which can only be satisfied if the base is K3 while a T 4 base is excluded. The conditions imposed by anomaly cancellation for the T 2 bundle structure, the dilaton field, and the holomorphic stable bundles are analyzed and the solutions determined. Applying duality, we check the consistency of the anomaly cancellation constraints with those for flux backgrounds of M-theory on eight-manifolds.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ac3cfcc2bc642299758adfac25297e76c20f0caa
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In Geometry and Topology
- Duong H. Phong
- Xiangwen Zhang
- Sebastien Picard
- R. Villacampa
- L. Ugarte
- B. Weinkove
- Valentino Tosatti
- G'abor Sz'ekelyhidi
In Nuclear and High Energy Physics
Citations in the corpus
- Geometric flows and Strominger systems (2015, methodology): “ system were found by Li-Yau [21] and Fu-Yau [14, 15], and more solutions were found in [1, 2, 7, 8, 9, 10, 11, 12, 17, 23, 32]. Other solutions on physical grounds were studied by physicists in e.g. [3, 4, 6]. Generalizations of the Fu-Yau equation to higher dimensions are considered in [24, 25]. T”
- Balanced Hermitian geometry on 6-dimensional nilmanifolds (2011, background): “In the Strominger system, the anomaly cancellation condition can be solved for different choices of metric connection and the physical validity of the corresponding solutions is studied in [1].”