Built on

J. H. Schwarz, “Covariant Field Equations of Chiral N=2 D=10 Supergravity,” Nucl. Phys. B 226
1983
Earlier work this paper cites.
M. F. Sohnius, “Introducing Supersymmetry,” Phys. Rept. 128
1985
Earlier work this paper cites.
T. H. Buscher, “A Symmetry of the String Background Field Equations,” Phys. Lett. B194
1988
Earlier work this paper cites.
T. Ortin, “SL(2,R) duality covariance of Killing spinors in axion - dilaton black holes,” Phys. Rev. D 51
1995
Earlier work this paper cites.
C. M. Hull and P. K. Townsend, “Unity of superstring dualities,” Nucl. Phys. B 438
1995
Earlier work this paper cites.
C. M. Hull, “Timelike T duality, de Sitter space, large N gauge theories and topological field theory,” JHEP 9807
1998
Earlier work this paper cites.
J. M. Figueroa-O’Farrill, “On the supersymmetries of Anti-de Sitter vacua,” Class. Quant. Grav. 16
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H. Lu, C. N. Pope, J. Rahmfeld, “A Construction of Killing spinors on S**n,” J. Math. Phys. 40
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S. F. Hassan, “T duality, space-time spinors and RR fields in curved backgrounds,” Nucl. Phys. B568
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M. Grana, “D3-brane action in a supergravity background: The fermionic story,” Phys. Rev. D 66
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O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
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J. Raeymaekers and K. P. Yogendran, “Supersymmetric D-branes in the D1-D5 background,” JHEP 0612
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L. F. Alday and J. Maldacena, “Comments on gluon scattering amplitudes via AdS/CFT,” JHEP 0711
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J. P. Gauntlett, O. A. P. Mac Conamhna, “AdS spacetimes from wrapped D3-branes,” Class. Quant. Grav. 24
Original
2007
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Then

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2011
Later among the works it cites.
M. S. Bianchi, M. Leoni, A. Mauri, S. Penati, C. A. Ratti, A. Santambrogio, “From Correlators to Wilson Loops in Chern-Simons Matter Theories,” JHEP 1106
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Later among the works it cites.
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Original
2011
Later among the works it cites.
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Later among the works it cites.
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2012

Self-duality of the D1-D5 near-horizon

Colgáin, Eoin Ó

Understand

We explore fermionic T-duality and self-duality in the geometry AdS3 x S3 x T4 in type IIB supergravity.

We explicitly construct the Killing spinors and the fermionic T-duality isometries and show that the geometry is self-dual under a combination of two bosonic AdS3 T-dualities, four fermionic T-dualities and either two additional T-dualities along T4 or two T-dualities along S3.
In addition, we show that the presence of a B-field acts as an obstacle to self-duality, a property attributable to S- duality and fermionic T-duality not commuting.
Finally, we argue that fermionic T-duality may be extended to CY2 = K3, a setting where we cannot explicitly construct the Killing spinors.

Built on

J. H. Schwarz, “Covariant Field Equations of Chiral N=2 D=10 Supergravity,” Nucl. Phys. B 226
1983
Earlier work this paper cites.
M. F. Sohnius, “Introducing Supersymmetry,” Phys. Rept. 128
1985
Earlier work this paper cites.
T. H. Buscher, “A Symmetry of the String Background Field Equations,” Phys. Lett. B194
1988
Earlier work this paper cites.
T. Ortin, “SL(2,R) duality covariance of Killing spinors in axion - dilaton black holes,” Phys. Rev. D 51
1995
Earlier work this paper cites.
C. M. Hull and P. K. Townsend, “Unity of superstring dualities,” Nucl. Phys. B 438
1995
Earlier work this paper cites.
C. M. Hull, “Timelike T duality, de Sitter space, large N gauge theories and topological field theory,” JHEP 9807
1998
Earlier work this paper cites.
J. M. Figueroa-O’Farrill, “On the supersymmetries of Anti-de Sitter vacua,” Class. Quant. Grav. 16
1999
Earlier work this paper cites.
H. Lu, C. N. Pope, J. Rahmfeld, “A Construction of Killing spinors on S**n,” J. Math. Phys. 40
1999
Earlier work this paper cites.
S. F. Hassan, “T duality, space-time spinors and RR fields in curved backgrounds,” Nucl. Phys. B568
2000
Earlier work this paper cites.
M. Grana, “D3-brane action in a supergravity background: The fermionic story,” Phys. Rev. D 66
2002
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
J. Raeymaekers and K. P. Yogendran, “Supersymmetric D-branes in the D1-D5 background,” JHEP 0612
2006
Earlier work this paper cites.
L. F. Alday and J. Maldacena, “Comments on gluon scattering amplitudes via AdS/CFT,” JHEP 0711
Original
2007
Earlier work this paper cites.
J. P. Gauntlett, O. A. P. Mac Conamhna, “AdS spacetimes from wrapped D3-branes,” Class. Quant. Grav. 24
Original
2007
Earlier work this paper cites.