Gauge-string duality for (non)supersymmetric deformations of N=4 super-Yang–Mills theory

By S. Frolov, R. Roiban, A. Tseytlin. 2005

136 citations recorded by the source corpus.

We consider a nonsupersymmetric example of the AdS/CFT duality which generalizes the supersymmetric exactly marginal deformation constructed in hep-th/0502086. The string theory background we use was found in hep-th/0503201 from the AdS5 × S 5 by a combination of T-dualities and shifts of angular coordinates. It depends on three real parameters γi which determine the shape of the deformed 5-sphere. The dual gauge theory has the same field content as N = 4 SYM theory, but with scalar and Yukawa interactions “deformed” by γi -dependent phases. The special case of equal γi = γ corresponds to the N = 1 supersymmetric deformation. We compare the energies of semiclassical strings with three large angular momenta to the 1-loop anomalous dimensions of the corresponding gauge-theory scalar operators and find that they match as it was the case in the SU(3) sector of the standard AdS/CFT duality. In the supersymmetric case of equal γi this extends the result of our previous work (hep-th/0503192) from the 2-spin to the 3-spin sector. This extension turns out to be quite nontrivial. To match the corresponding low-energy effective “Landau– Lifshitz” actions on the string theory and the gauge theory sides one is to make a special choice of the spin chain Hamiltonian representing the 1-loop gauge theory dilatation operator. This choice is adapted to low-energy approximation, i.e., it allows one to capture the right vacuum states and the “macroscopic spin wave” sector of states of the spin chain in the continuum coherent state effective action.  2005 Elsevier B.V. All rights reserved.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9facc876b0a4964523a537680151eb612bac201a

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In Astronomy and Astrophysics

1. S. Frolov
2. G. Arutyunov
3. K. Zoubos
4. S. J. Tongeren
5. M. Zamaklar
6. L. Alday
7. J. Plefka
8. A. Tseytlin

In Nuclear and High Energy Physics

1. S. Frolov
2. G. Arutyunov
3. M. Zamaklar
4. S. J. Tongeren
5. J. Plefka
6. L. Alday
7. A. Tseytlin
8. K. Zoubos

Citations in the corpus

• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, background): “As we already implicitly saw above, there is a “natural” deformation of SYM for the three parameter generalization of the Lunin-Maldacena background [6, 99] (which our construction would indeed exactly suggest).”
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, background): “In the γ-deformed case there are (at least) two inequivalent plane-wave limits [35],[36], [37] and the light cone type gauges seem to be very convenient to study 1/J corrections to energies of string states in these limits.”
• Green-Schwarz Strings in TsT-transformed backgrounds (2005, methodology): “Since the corresponding bosonic action is known [12] to be the same as the action for the so-called Neumann-Rosochatius (NR) integrable model, we therefore obtain the fermionic generalization of the NR model.”
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries (2010, background): “n goes through in this case as well [7] and in [50] it was argued that the Green{Schwarz action on TsT-deformed backgrounds is the same as the undeformed one, but with twisted boundary conditions. In [51], string energies were shown to match anomalous dimensions coming from the corresponding three-p”