Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection

By N. Berkovits, J. Maldacena. 2008

398 citations recorded by the source corpus.

We show that tree level superstring theories on certain supersymmetric backgrounds admit a symmetry which we call ``fermionic T-duality''. This is a non-local redefinition of the fermionic worldsheet fields similar to the redefinition we perform on bosonic variables when we do an ordinary T-duality. This duality maps a supersymmetric background to another supersymmetric background with different RR fields and a different dilaton. We show that a certain combination of bosonic and fermionic T-dualities maps the full superstring theory on AdS5 × S5 back to itself in such a way that gluon scattering amplitudes in the original theory map to something very close to Wilson loops in the dual theory. This duality maps the ``dual superconformal symmetry'' of the original theory to the ordinary superconformal symmetry of the dual model. This explains the dual superconformal invariance of planar scattering amplitudes of N = 4 super Yang Mills and also sheds some light on the connection between amplitudes and Wilson loops. In the appendix, we propose a simple prescription for open superstring MHV tree amplitudes in a flat background.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dc24e770e4994d567b2744fd34c6f95adeceed2d

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In Nuclear and High Energy Physics

1. S. Caron-Huot
2. L. Alday
3. J. Maldacena
4. J. Drummond
5. L. Dixon
6. P. Vieira
7. A. Sever
8. G. Korchemsky

Citations in the corpus

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory (2009, methodology): “We take our inspiration from the discussion of the behaviour of the infinite tower of charges in the sigma model in references [40, 41].”
• On non-abelian T-dual geometries with Ramond fluxes (2010, methodology): “e of string theory. An interesting recent development has been the use of T-duality in conjunction with the AdS/CFT correspondence to explain the amplitude/Wilson loop connection of N =4 gauge theory [1, 2]. This application required one to perform both traditional bosonic and novel fermionic T-dual”
• Space-time S-matrix and flux tube S-matrix II. Extracting and matching data (2013, background): “The usual Wilson loop computes maximal helicity violating (MHV) amplitudes [4, 5].”
• Bootstrapping the three-loop hexagon (2011, background): “ observed in the form of the scattering amplitudes in many guises: the form of the integrals in the perturbative expansion [13, 14, 15]; the background isometry of the AdS sigma model after T-duality [1, 8, 16]; the structure of treelevel amplitudes, where it extends to dual superconformal symmetry ”
• Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, background): “generating techniques in supergravity are an extremely powerful tool. Prominent examples include the use of bosonic and fermionic T-dualities to show dual superconformal symmetry at strong coupling 2 [1, 2]; the T-s-T transformations that are the string analogue of b-deformations in gauge theory [3]”