Results 1  10
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79
Rashkov, “MagnonLike Dispersion Relation from Mtheory,” [hepth/0607116
"... We investigate classical rotating membranes in two different backgrounds. First, we obtain membrane solution in AdS4 × S 7 background, analogous to the solution obtained by Hofman and Maldacena in the case of string theory. We find a magnon type dispersion relation similar to that of Hofman and Mald ..."
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Cited by 24 (7 self)
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We investigate classical rotating membranes in two different backgrounds. First, we obtain membrane solution in AdS4 × S 7 background, analogous to the solution obtained by Hofman and Maldacena in the case of string theory. We find a magnon type dispersion relation similar to that of Hofman and Maldacena and to the one found by Dorey for the two spin case. In the appendix of the paper, we consider membrane solutions in AdS7 × S 4, which give new relations between the conserved charges. Keywords: Mtheory, AdSCFT correspondence, spin chains. 1
Higher loops beyond the SU(2) sector
 JHEP
"... We consider the case of coherent gauge invariant operators in the SU(3) and SO(4) sectors. We argue that in many cases, these sectors can be closed in the thermodynamic limit, even at higher loops. We then use a modification of the Bethe equations which is a natural generalization of a proposal put ..."
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Cited by 23 (0 self)
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We consider the case of coherent gauge invariant operators in the SU(3) and SO(4) sectors. We argue that in many cases, these sectors can be closed in the thermodynamic limit, even at higher loops. We then use a modification of the Bethe equations which is a natural generalization of a proposal put forward by Serban and Staudacher to make gauge theory predictions for the anomalous dimensions for a certain class of operators in each sector. We show that the predictions are consistent with semiclassical string predictions at two loops but in general fail to agree at three loops. Interestingly, in both cases there is one point in the configuration space where the gauge theory and string theory predictions agree. In the SU(3) case it corresponds to a circular string with Rcharge assignment (J, J, J). 1 1
Semiclassical strings in LuninMaldacena background
"... The aim of this paper is to investigate semiclassical rotating string configurations in the recently found LuninMaldacena background. This background is conjectured to be dual to the LeighStrassler βdeformation of N = 4 SYM and therefore a good laboratory for tests of the AdS/CFT correspondence b ..."
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Cited by 10 (2 self)
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The aim of this paper is to investigate semiclassical rotating string configurations in the recently found LuninMaldacena background. This background is conjectured to be dual to the LeighStrassler βdeformation of N = 4 SYM and therefore a good laboratory for tests of the AdS/CFT correspondence beyond the well explored AdS5 × S 5 case. We consider different multispin configurations of rotating strings by allowing the strings to move in both the AdS5 and the deformed S 5 part of the LuninMaldacena background. For all of these configurations we compute the string energy in terms of the angular momenta and the string winding numbers and thus provide the possibility of comparing our results to the anomalous dimension of the corresponding dilatation operator. 1
Bethe ansatz and fluctuations in SU(3) YangMills operators,” hepth/0405167
, 2004
"... We consider the scalar operators corresponding to semiclassical string states in AdS5×S 5 with the three angular momenta in S 5 nontrivial. The string states recieve quantum corrections and we study the corresponding process on the gauge theory side. The anomalous dimension of the scalar operators ..."
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Cited by 6 (0 self)
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We consider the scalar operators corresponding to semiclassical string states in AdS5×S 5 with the three angular momenta in S 5 nontrivial. The string states recieve quantum corrections and we study the corresponding process on the gauge theory side. The anomalous dimension of the scalar operators is computed using the Bethe ansatz and we find the correction that corresponds to the energy of the quantized string. We restrict for simplicity to the case where two of the angular momenta in S 5 are equal. 1
Semiclassical strings in AdS5 ×S 5 and scalar operators in N = 4 SYM theory,” Comptes Rendus Physique 5, 1049 (2004) [hepth/0407218]; N. Beisert, “The dilatation operator of N = 4 super YangMills theory and integrability,” Phys. Rept. 405, 1 (2005) [hep
 In N
, 2006
"... We review recent progress in quantitative checking of AdS/CFT duality in the sector of “semiclassical ” string states dual to “long ” scalar operators of N = 4 super YangMills theory. In particular, we discuss the effective action approach, in which the same sigma model type action describing coher ..."
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Cited by 5 (0 self)
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We review recent progress in quantitative checking of AdS/CFT duality in the sector of “semiclassical ” string states dual to “long ” scalar operators of N = 4 super YangMills theory. In particular, we discuss the effective action approach, in which the same sigma model type action describing coherent states is shown to emerge from the AdS5×S 5 string action and from the integrable spin chain Hamiltonian representing the SYM dilatation operator. 1
Rashkov, "Multispin giant magnons
 Phys. Rev. D
, 2006
"... We investigate giant magnons from classical rotating strings in two different backgrounds. First we generalize the solution of Hofman and Maldacena and investigate new magnon excitations of a spin chain which are dual to a string on R × S 5 with two nonvanishing angular momenta. Alowing string dynam ..."
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Cited by 4 (0 self)
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We investigate giant magnons from classical rotating strings in two different backgrounds. First we generalize the solution of Hofman and Maldacena and investigate new magnon excitations of a spin chain which are dual to a string on R × S 5 with two nonvanishing angular momenta. Alowing string dynamics along the third angle in the five sphere, we find a dispersion relation that reproduces the Hofman and Maldacena and the one found by Dorey for the two spin case. In the second part of the paper we generalize the two ”spin ” giant magnon to the case of βdeformed AdS5 × S 5 background. We find agreement between the dispersion relation of the rotating string and the proposed dispersion relation of the magnon bound state on the spin chain. 1
Spinning strings in AdS5 × S 5: oneloop correction to energy in SL(2) sector
, 2005
"... We consider a circular string with spin S in AdS5 wrapped around big circle of S 5 and carrying also momentum J. The corresponding N = 4 SYM operator belongs to the SL(2) sector, i.e. has tr(D S Z J) +... structure. The leading large J term in its 1loop anomalous dimension can be computed using Bet ..."
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Cited by 4 (0 self)
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We consider a circular string with spin S in AdS5 wrapped around big circle of S 5 and carrying also momentum J. The corresponding N = 4 SYM operator belongs to the SL(2) sector, i.e. has tr(D S Z J) +... structure. The leading large J term in its 1loop anomalous dimension can be computed using Bethe ansatz for the SL(2) spin chain and was previously found to match the leading term in the classical string energy. The string solution is stable at large J, and the Lagrangian for string fluctuations has constant coefficients, so that the 1loop string correction to the energy E1 is given simply by the sum of characteristic frequencies. Curiously, we find that the leading term in the zeromode part of E1 is the same as a 1/J correction to the oneloop anomalous dimension on the gauge theory (spin chain) side that was found in hepth/0410105. However, the contribution of nonzero string modes does not vanish. We also discuss the “fast string ” expansion of the classical string action which coincides with the coherent state action of the SL(2) spin chain at the first order in λ, and extend this expansion to higher orders clarifying the role of the S 5 winding number.
Spin Chain with Magnetic Field and Spinning String
 in Magnetic Field Background”, Phys. Rev. D74 (2006) 027901 [hepth/0605242
"... We analyze the fastmoving string in the magnetic Melvin field background and find that the associated effective Lagrangian of string sigma model describes the spin chain model with external magnetic field. The spin vector in the spin chain has been properly deformed and is living on the deformed tw ..."
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Cited by 3 (3 self)
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We analyze the fastmoving string in the magnetic Melvin field background and find that the associated effective Lagrangian of string sigma model describes the spin chain model with external magnetic field. The spin vector in the spin chain has been properly deformed and is living on the deformed twosphere or deformed twodimensional hyperboloid, depending on the direction around which the string is spinning. We describe in detail the characters of spin deformation and, in particular, see that this is a general property for a string moving in a class of deformed background.