Beauty and the twist: the Bethe ansatz for twisted = 4 SYM
By N. Beisert, R. Roiban. 2005
246 citations recorded by the source corpus.
It was recently shown that the string theory duals of certain deformations of the = 4 gauge theory can be obtained by a combination of T-duality transformations and coordinate shifts. Here we work out the corresponding procedure of twisting the dual integrable spin chain and its Bethe ansatz. We derive the Bethe equations for the complete twisted = 4 gauge theory at one and higher loops. These have a natural generalization which we identify as twists involving the Cartan generators of the conformal algebra. The underlying model appears to be a form of noncommutative deformation of = 4 SYM.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/3a53702e83600443b60ad827fb180044770c7196
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
- S. Frolov
- A. Tseytlin
- G. Arutyunov
- R. Roiban
- L. Alday
- Tristan McLoughlin
- N. Drukker
- Takuya Matsumoto
Citations in the corpus
- The analytic Bethe ansatz for a chain with centrally extended symmetry (2006, unknown): “[39].”
- Integrable Wilson loops (2012, result): “This is be very similar to the twisting arising in the cases of β and γ deformed N = 4 SYM [45].”
- Green-Schwarz Strings in TsT-transformed backgrounds (2005, background): “with the thermodynamic limit of the Bethe equations for the deformed N = 4 SYM theory [5, 6, 11].”
- Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, background): “In the β-deformed context [45, 46] the only effect of the phase βd is to shift the integer number that appears in the logarithm of the Bethe equations by βdJ .”
- Lunin-Maldacena backgrounds from the classical Yang-Baxter equation — towards the gravity/CYBE correspondence (2014, background): “For the γ-deformed geometries, various things are understood such as the deformed potential in N=4 SYM [47–49], the twisted Bethe ansatz [53, 54] and the world-sheet Smatrix [55].”