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Résumé |
The N=4 Super-Yang-Mills theory admits star-product-type deformations which preserve many remarkable
properties of the parent theory. The resulting field theories can be non-local - non-commutative or dipole - or
can just have different couplings in the Lagrangian. The AdS/CFT correspondence and integrability lead to a
very beautiful triality between star-products in field theory, TsT transformations on the gravity side and
Drinfeld-Reshetikhin twists in the spin-chain picture. I will mostly focus on the null dipole CFT - an example of
(potentially) solvable (2+1)d non-relativistic theory - where integrability structure gets deformed in an
interesting way. The traditional Bethe ansatz is not applicable even at one loop and one needs to deal with
the Baxter equation from the very beginning. |
