Built on

T. H. Buscher, “A Symmetry of the String Background Field Equations,” Phys. Lett. B194
1988
Earlier work this paper cites.
X. C. de la Ossa and F. Quevedo, “Duality symmetries from nonAbelian isometries in string theory,” Nucl. Phys. B 403
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M. Blau, J. M. Figueroa-O’Farrill, C. Hull, G. Papadopoulos, “A New maximally supersymmetric background of IIB superstring theory,” JHEP 0201
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M. Cvetic, H. Lu, C. N. Pope, “M theory p p waves, Penrose limits and supernumerary supersymmetries,” Nucl. Phys. B644
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I. Bena, R. Roiban, “Supergravity pp wave solutions with twenty eight supercharges and twenty four supercharges,” Phys. Rev. D67
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M. Cvetic, H. Lu, C. N. Pope, “Penrose limits, PP waves and deformed M2 branes,” Phys. Rev. D69
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R. Britto, F. Cachazo, B. Feng and E. Witten, “Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory,” Phys. Rev. Lett. 94
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L. F. Alday, J. Maldacena, “Comments on gluon scattering amplitudes via AdS/CFT,” JHEP 0711
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2011

Fermionic T-duality in the pp-wave limit

Bakhmatov, Ilya, Colgáin, Eoin Ó, Yavartanoo, Hossein

Understand

AdS5 X S5 and its pp-wave limit are self-dual under transformations involving eight fermionic T-dualities, a property which accounts for symmetries seen in scattering amplitudes in N=4 super-Yang-Mills.

Despite strong evidence for similar symmetries in the amplitudes of three-dimensional N=6 ABJM theory, a corresponding self-duality in the dual geometry AdS4 X CP3 currently eludes us.
Here, working with the type IIA pp-wave limit of AdS4 X CP3 preserving twenty four supercharges, we show that the pp-wave is self-dual with respect to eight commuting fermionic T-dualities and not the six expected.
In addition, we show the same symmetry can be found in a superposition pp-wave and a generic pp-wave with twenty and sixteen unbroken supersymmetries respectively, strongly suggesting that self-duality under fermionic T-duality may be a symmetry of all pp-waves.

Built on

T. H. Buscher, “A Symmetry of the String Background Field Equations,” Phys. Lett. B194
1988
Earlier work this paper cites.
X. C. de la Ossa and F. Quevedo, “Duality symmetries from nonAbelian isometries in string theory,” Nucl. Phys. B 403
1993
Earlier work this paper cites.
J. M. Figueroa-O’Farrill, G. Papadopoulos, “Homogeneous fluxes, branes and a maximally supersymmetric solution of M theory,” JHEP 0108
2001
Earlier work this paper cites.
M. Blau, J. M. Figueroa-O’Farrill, C. Hull, G. Papadopoulos, “A New maximally supersymmetric background of IIB superstring theory,” JHEP 0201
2002
Earlier work this paper cites.
K. Sugiyama, K. Yoshida, “Type IIA string and matrix string on PP wave,” Nucl. Phys. B644
2002
Earlier work this paper cites.
S. -j. Hyun, H. -j. Shin, “N=(4,4) type 2A string theory on PP wave background,” JHEP 0210
2002
Earlier work this paper cites.
M. Cvetic, H. Lu, C. N. Pope, “M theory p p waves, Penrose limits and supernumerary supersymmetries,” Nucl. Phys. B644
2002
Earlier work this paper cites.
J. P. Gauntlett, C. M. Hull, “Pp-waves in 11 dimensions with extra supersymmetry,” JHEP 0206
2002
Earlier work this paper cites.
I. Bena, R. Roiban, “Supergravity pp wave solutions with twenty eight supercharges and twenty four supercharges,” Phys. Rev. D67
2003
Earlier work this paper cites.
M. Cvetic, H. Lu, C. N. Pope, “Penrose limits, PP waves and deformed M2 branes,” Phys. Rev. D69
2004
Earlier work this paper cites.
R. Britto, F. Cachazo, B. Feng and E. Witten, “Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
L. F. Alday, J. Maldacena, “Comments on gluon scattering amplitudes via AdS/CFT,” JHEP 0711
Original
2007
Earlier work this paper cites.