Dual superconformal symmetry from AdS5xS5 superstring integrability

By N. Beisert, R. Ricci, A. Tseytlin, Martin Wolf. 2008

258 citations recorded by the source corpus.

We discuss 2d duality transformations in the classical AdS5 � S 5 superstring and their effect on the integrable structure. T-duality along four directions in the Poincareparametrization of AdS5 maps the bosonic part of the superstring action into itself. On the bosonic level, this duality may be understood as a symmetry of the first-order (phase space) system of equations for the coset components of the current. The associated Lax connection is invariant modulo the action of an soð2; 4Þ-automorphism. We then show that this symmetry extends to the full superstring, provided one supplements the transformation of the bosonic components of the current with a transformation on the fermionic ones. At the level of the action, this symmetry can be seen by combining the bosonic duality transformation with a similar one applied to part of the fermionic superstring coordinates. As a result, the full superstring action is mapped into itself, albeit in a different � -symmetry gauge. One implication is that the dual model has the same superconformal symmetry group as the original one, and this may be seen as a consequence of the integrability of the superstring. The invariance of the Lax connection under the duality implies a map on the full set of conserved charges that should interchange some of the Noether (local) charges with hidden (nonlocal) ones and vice versa.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5988b3f1125113d4085979cdd5de58c1ca8afab4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Caron-Huot
2. L. Alday
3. A. Tseytlin
4. J. Drummond
5. J. Maldacena
6. J. Plefka
7. S. Frolov
8. G. Korchemsky

In Nuclear and High Energy Physics

1. S. Caron-Huot
2. L. Alday
3. J. Drummond
4. J. Maldacena
5. G. Korchemsky
6. R. Roiban
7. J. Henn
8. E. Sokatchev

Citations in the corpus

• From correlation functions to Wilson loops (2010, background): “2) have been intensively studied during the past few years due to their connection with scattering amplitudes in N = 4 super-Yang-Mills [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17].”
• When does the gluon reggeize? (2013, background): “Scattering amplitudes in planar N = 4 are known to admit an equivalent, dual, formulation [116–119] as the expectation value of null polygonal Wilson loops.”
• TASI Lectures on Scattering Amplitudes (2017, background): “On-shell tools have excavated a landscape of structures: hidden Yangian and dual conformal symmetries [80, 81, 82, 83, 84], reformulations of the S-matrix in twistor space [85, 86, 22, 87, 88, 89, 90, 91] and Grassmannian space [92, 93, 94], as well as connections to abstract volumes [12, 95] like t”
• From correlation functions to scattering amplitudes (2010, methodology): “This is motivated by the analogy with the tree-level scattering superamplitudes, which are known to have a dynamical symmetry called dual conformal symmetry [44].”
• 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 [30, 31](1).”