Mirror symmetric SU(3)-structure manifolds with NS fluxes
Commun.Math.Phys. 254 (2005) 401-423 When string theory is compactified on a six-dimensional manifold with a nontrivial NS flux turned on, mirror symmetry exchanges the flux with a purely geometrical composite NS form associated with lack of integrability of the complex structure on the mirror side....
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| Main Authors | , , |
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| Format | Journal Article |
| Language | English |
| Published |
14.11.2003
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| Abstract | Commun.Math.Phys. 254 (2005) 401-423 When string theory is compactified on a six-dimensional manifold with a
nontrivial NS flux turned on, mirror symmetry exchanges the flux with a purely
geometrical composite NS form associated with lack of integrability of the
complex structure on the mirror side. Considering a general class of
T^3-fibered geometries admitting SU(3) structure, we find an exchange of pure
spinors (e^{iJ} and \Omega) in dual geometries under fiberwise T-duality, and
study the transformations of the NS flux and the components of intrinsic
torsion. A complementary study of action of twisted covariant derivatives on
invariant spinors allows to extend our results to generic geometries and
formulate a proposal for mirror symmetry in compactifications with NS flux. |
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| AbstractList | Commun.Math.Phys. 254 (2005) 401-423 When string theory is compactified on a six-dimensional manifold with a
nontrivial NS flux turned on, mirror symmetry exchanges the flux with a purely
geometrical composite NS form associated with lack of integrability of the
complex structure on the mirror side. Considering a general class of
T^3-fibered geometries admitting SU(3) structure, we find an exchange of pure
spinors (e^{iJ} and \Omega) in dual geometries under fiberwise T-duality, and
study the transformations of the NS flux and the components of intrinsic
torsion. A complementary study of action of twisted covariant derivatives on
invariant spinors allows to extend our results to generic geometries and
formulate a proposal for mirror symmetry in compactifications with NS flux. |
| Author | Tomasiello, Alessandro Minasian, Ruben Fidanza, Stephane |
| Author_xml | – sequence: 1 givenname: Stephane surname: Fidanza fullname: Fidanza, Stephane – sequence: 2 givenname: Ruben surname: Minasian fullname: Minasian, Ruben – sequence: 3 givenname: Alessandro surname: Tomasiello fullname: Tomasiello, Alessandro |
| BackLink | https://doi.org/10.48550/arXiv.hep-th/0311122$$DView paper in arXiv https://doi.org/10.1007/s00220-004-1221-5$$DView published paper (Access to full text may be restricted) |
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| Notes | CPHT-RR 106.1103 |
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| Snippet | Commun.Math.Phys. 254 (2005) 401-423 When string theory is compactified on a six-dimensional manifold with a
nontrivial NS flux turned on, mirror symmetry... |
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| Title | Mirror symmetric SU(3)-structure manifolds with NS fluxes |
| URI | https://arxiv.org/abs/hep-th/0311122 |
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