Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/100877
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Type: | Journal article |
Title: | Transitive Courant algebroids, string structures and T-duality |
Author: | Baraglia, D. Hekmati, P. |
Citation: | Advances in Theoretical and Mathematical Physics, 2015; 19(3):613-672 |
Publisher: | International Press |
Issue Date: | 2015 |
ISSN: | 1095-0761 1095-0753 |
Statement of Responsibility: | David Baraglia, Pedram Hekmati |
Abstract: | In this paper, we use reduction by extended actions to give a construction of transitive Courant algebroids from string classes. We prove that T-duality commutes with the reductions and thereby determine global conditions for the existence of T-duals in heterotic string theory. In particular we find that T-duality exchanges string structures and gives an isomorphism of transitive Courant algebroids. Consequently we derive the T-duality transformation for generalised metrics and show that the heterotic Einstein equations are preserved. The presence of string structures significantly extends the domain of applicability of T-duality and this is illustrated by several classes of examples. |
Rights: | Copyright status unknown |
DOI: | 10.4310/ATMP.2015.v19.n3.a3 |
Grant ID: | http://purl.org/au-research/grants/arc/DP110103745 http://purl.org/au-research/grants/arc/DE120102657 |
Published version: | http://dx.doi.org/10.4310/atmp.2015.v19.n3.a3 |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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RA_hdl_100877.pdf Restricted Access | Restricted Access | 505.23 kB | Adobe PDF | View/Open |
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