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T-duality and generalized complex geometry
Author(s) -
Jonas Persson
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/03/025
Subject(s) - duality (order theory) , transformation (genetics) , t duality , mathematics , sigma model , sigma , pure mathematics , space (punctuation) , supersymmetry , phase space , mathematical physics , physics , quantum mechanics , computer science , string theory , biochemistry , chemistry , nonlinear system , gene , operating system
We find the explicit T-duality transformation in the phase space formulationof the N=(1,1) sigma model. We also show that the T-duality transformation is asymplectomorphism and it is an element of O(d,d). Further, we find the explicitT-duality transformation of a generalized complex structure in this model. Wealso show that the extended supersymmetry of the sigma model is preserved underthe T-duality.Comment: 18 pages; added references; published versio

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