# Semiclassical circular strings in AdS{sub 5} and 'long' gauge field strength operators

@article{Park2005SemiclassicalCS, title={Semiclassical circular strings in AdS\{sub 5\} and 'long' gauge field strength operators}, author={I. Y. Park and Alin Tirziu and Arkady A. Tseytlin}, journal={Physical Review D}, year={2005}, volume={71}, pages={126008} }

We consider circular strings rotating with equal spins S{sub 1}=S{sub 2}=S in two orthogonal planes in AdS{sub 5} and suggest that they may be dual to long gauge-theory operators built out of self-dual components of gauge field strength. As was found in hep-th/0404187, the one-loop anomalous dimensions of the such gauge-theory operators are described by an antiferromagnetic XXX{sub 1} spin chain and scale linearly with length L>>1. We find that in the case of rigid rotating string both the… Expand

#### 39 Citations

Semiclassical rigid strings with two spins in AdS{sub 5}

- Physics
- 2010

Semiclassical spinning string states in AdS{sub 5} are, in general, characterized by the three SO(2,4) conserved charges: the energy E and the two spins S{sub 1} and S{sub 2}. We discuss several… Expand

Slow-string limit and 'antiferromagnetic' state in AdS/CFT duality

- Physics
- 2006

We discuss a slow-moving limit of a rigid circular equal-spin solution on RxS{sup 3}. We suggest that the solution with the winding number equal to the total spin approximates the quantum string… Expand

"Short" spinning strings and structure of quantum AdS 5 × S 5 spectrum

- Physics
- 2012

Using information from the marginality conditions of vertex operators for the AdS5×S 5 superstring, we determine the structure of the dependence of the energy of quantum string states on their… Expand

Strong coupling anomalous dimensions of Script N = 4 super Yang-Mills

- Physics
- 2006

We study the strong coupling behaviour of fixed length single trace operators in the scalar SU(2) sector of = 4 SYM. We assume the recently proposed connection with a twisted half-filled Hubbard… Expand

Strong coupling anomalous dimensions of N = 4 super

- 2008

We study the strong coupling behaviour of fixed length single trace operators in the scalar SU(2) sector of N = 4 SYM. We assume the recently proposed connection with a twisted half-filled Hubbard… Expand

Circular strings in Kerr-$AdS_5$ black holes

- Physics
- 2021

The quest for extension of holographic correspondence to the case of finite temperature naturally includes Kerr-AdS black holes and their field theory duals. In this paper we study the holography by… Expand

Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet

- Physics
- 2011

Abstract Following our earlier work in arXiv:0906.4294 we show how to use semiclassical string quantization approach to compute the leading corrections to the energy of AdS 5 × S 5 string states on… Expand

Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT

- Physics
- 2007

Abstract We compute 1-loop correction E 1 to the energy of folded string in A d S 5 × S 5 (carrying spin S in A d S 5 and momentum J in S 5 ) using a “long string” approximation in which S ≫ J ≫ 1 .… Expand

Quantum strings in AdS(5) x S**5: Strong-coupling corrections to dimension of Konishi operator

- Physics
- 2009

We consider leading strong coupling corrections to the energy of the lightest massive string modes in AdS5 × S 5 , which should be dual to members of the Konishi operator multiplet in N = 4 SYM… Expand

Exact computation of one-loop correction to energy of pulsating strings in $AdS_5 x S^5$

- Physics
- 2010

In the present paper, which is a sequel to arXiv:1001:4018, we compute the one-loop correction to the energy of pulsating string solutions in AdS5 S 5 . We show that, as for rigid spinning string… Expand

#### References

SHOWING 1-10 OF 49 REFERENCES

On one-loop correction to energy of spinning strings in S**5

- Physics
- 2005

We revisit the computation of the 1-loop AdS{sub 5}xS{sup 5} superstring sigma model correction to the energy of a closed circular string rotating in S{sup 5}. The string is spinning around its… Expand

Large spin limit of AdS5×S5 string theory and low energy expansion of ferromagnetic spin chains

- Physics
- 2004

Abstract By considering AdS 5 × S 5 string states with large S 5 angular momenta one can provide non-trivial quantitative checks of the AdS/CFT duality. A string rotating in S 5 with two angular… Expand

Semiclassical relativistic strings in S 5 and long coherent operators in = 4 SYM theory

- Physics
- 2004

We consider the low energy effective action corresponding to the 1-loop, planar, dilatation operator in the scalar sector of = 4 SU(N) SYM theory. For a general class of non-holomorphic ``long''… Expand

Spinning strings in AdS(5) x S**5: New integrable system relations

- Physics
- 2004

A general class of rotating closed string solutions in AdS5 × S 5 is shown to be described by a Neumann-Rosochatius one-dimensional integrable system. The latter represents an oscillator on a sphere… Expand

Spinning strings in AdS5 x S5 and integrable systems

- Physics
- 2003

We show that solitonic solutions of the classical string action on the AdS5 × S 5 background that carry charges (spins) of the Cartan subalgebra of the global symmetry group can be classified in… Expand

Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector

- Physics
- 2005

We consider a circular string with spin S in AdS5 wrapped around big circle of S5 and carrying also momentum J. The corresponding N = 4 SYM operator belongs to the SL(2) sector, i.e. has tr(DSZJ)+...… Expand

Stringing Spins and Spinning Strings

- Physics
- 2003

We apply recently developed integrable spin chain and dilatation operator techniques in order to compute the planar one-loop anomalous dimensions for certain operators containing a large number of… Expand

Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain

- Physics
- 2004

We investigate whether the (planar, two complex scalar) dilatation operator of N = 4 gauge theory can be, perturbatively and, perhaps, non-perturbatively, described by an integrable long range spin… Expand

Multi-spin string solutions in AdS5×S5

- Physics
- 2003

Abstract Motivated by attempts to extend AdS/CFT duality to non-BPS states we consider classical closed string solutions with several angular momenta in different directions of AdS5 and S5. We find a… Expand

Dilatation operator in (super-)Yang–Mills theories on the light-cone

- Physics
- 2005

Abstract The gauge/string correspondence hints that the dilatation operator in gauge theories with the superconformal SU ( 2 , 2 | N ) symmetry should possess universal integrability properties for… Expand