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

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**Citation: **

*S.A. Frolova, R. Roiban and A.A. Tseytlin, Gauge-string duality for (non)supersymmetric deformations of N=4 super Yang-Mills theory., Nucleic Physics B, 731, 1-2, 2005, 1-44*

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**Abstract: **

We consider a non-supersymmetric 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 ? S5 by
a combination of T-dualities and shifts of angular coordinates. It depends on three real
parameters
i 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
i-dependent phases. The special case of equal
i =
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
i 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 lowenergy
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.

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**Author's Homepage: **

http://people.tcd.ie/frolovs
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**Description: **

PUBLISHED
**Author:**FROLOV, SERGEY

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**Publisher: **

Elsevier
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**Type of material: **

Journal Article#####
**Series/Report no: **

Nucleic Physics B;731;

1-2;

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**Availability: **

Full text available#####
**Keywords: **

Mathematics, string theory, super-Yang?Mills theory
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