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26 April 2024 |
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T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d) | | Michael C. Abbott
; Jeff Murugan
; Silvia Penati
; Antonio Pittelli
; Dmitri Sorokin
; Per Sundin
; Justine Tarrant
; Martin Wolf
; Linus Wulff
; | | Date: |
25 Sep 2015 | | Abstract: | We verify the self-duality of Green-Schwarz supercoset sigma models on AdS$_d
imes S^d $ backgrounds (d=2,3,5) under combined bosonic and fermionic
T-dualities without gauge fixing kappa symmetry. We also prove this property
for superstrings on AdS$_d imes S^d imes S^d$ (d=2,3) described by
supercoset sigma models with the isometries governed by the exceptional Lie
supergroups $D(2,1;alpha)$ (d=2) and $D(2,1;alpha) imes D(2,1;alpha)$
(d=3), which requires an additional T-dualisation along one of the spheres.
Then, by taking into account the contribution of non-supercoset fermionic modes
(up to the second order), we provide evidence for the T-self-duality of the
complete type IIA and IIB Green-Schwarz superstring theory on AdS$_d imes S^d
imes T^{10-2d}$ (d=2,3) backgrounds with Ramond-Ramond fluxes. Finally,
applying the Buscher-like rules to T-dualising supergravity fields, we prove
the T-self-duality of the whole class of the AdS$_d imes S^d imes M^{10-2d}$
superbackgrounds with Ramond-Ramond fluxes in the context of supergravity. | | Source: | arXiv, 1509.7678 | | Services: | Forum | Review | PDF | Favorites | |
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