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1971
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1990
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1999
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1999
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D. Orlando and S. Reffert,
Original
2013
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F. Delduc, M. Magro and B. Vicedo,
Original
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2018

SUSY and the bi-vector

Orlando, Domenico, Reffert, Susanne, Sekiguchi, Yuta et al.

Understand

In this note we give an explicit formula for the preserved Killing spinors in deformed string theory backgrounds corresponding to integrable Yang--Baxter deformations realized via (sequences of) TsT transformations.

The Killing spinors can be expressed only in terms of the bi-vector $\Theta$ which encodes the deformation.
This formula is applicable to deformed backgrounds related to $r$-matrices of various ranks, including those that do not satisfy the unimodularity condition and give rise to backgrounds in generalized supergravity.
We conjecture that our formula also remains valid for integrable deformations which are not realized via TsT transformations and motivate this conjecture by explicit examples.

Built on

Y. Kosmann,
1971
Earlier work this paper cites.
M. J. Duff,
1990
Earlier work this paper cites.
N. Seiberg and E. Witten,
1999
Earlier work this paper cites.
H. Lu, C. N. Pope and J. Rahmfeld,
1999
Earlier work this paper cites.
C. Klimcik,
2002
Earlier work this paper cites.
O. Lunin and J. M. Maldacena,
2005
Earlier work this paper cites.
C. Klimcik,
Original
2009
Earlier work this paper cites.
N. Beisert et al.,
Original
2012
Earlier work this paper cites.
S. Hellerman, D. Orlando and S. Reffert,
Original
2012
Earlier work this paper cites.
F. Delduc, M. Magro and B. Vicedo,
Original
2013
Earlier work this paper cites.
D. Orlando and S. Reffert,
Original
2013
Earlier work this paper cites.
F. Delduc, M. Magro and B. Vicedo,
Original
2014
Earlier work this paper cites.