Light-cone superstring in AdS space–time

By R. R. Metsaev, Charles B. Thorn, A. Tseytlin. 2000

193 citations recorded by the source corpus.

We consider fixing the bosonic light-cone gauge for string in AdS space in the phase space framework, i.e., by choosing x+=τ, and by choosing σ so that P+ is distributed uniformly (its density P+ is independent of σ). We discuss classical bosonic string in AdSd and superstring in AdS5×S5. In the latter case the starting point is the action found in hep-th/0007036, where the κ-symmetry is fixed by a fermionic light-cone type gauge. We derive the light-cone Hamiltonian in the AdS5×S5 case and in the case of superstring in AdS3×S3. We also obtain a realization of the generators of the basic superalgebra psu(2,2|4) in terms of AdS5×S5 superstring coordinate 2-d fields in the light-cone gauge.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1e5fd364963d24a84373476206ec7cdb915c5b39

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Citations in the corpus

Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “Then the action can be rewritten as [90,170]”
Integrable Hamiltonian for Classical Strings on AdS5 x S5 (2004, methodology): “It would be very interesting to use our method to derive a Lax pair for the AdS5 light-cone Hamiltonian obtained in [36].”
The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, unknown): “5.1 Field redefinition 17 5.2 Hamiltonian 19”
On integrability of classical superstrings in AdS5 × S5 (2005, methodology): “In section 3 we will recall the form of the light-cone gauge fixed action of [17, 5] and of the associated phase-space superstring equations of motion.”
Foundations of the AdS5 × S5 superstring: I (2009, background): “AdS5 × S5 background one gets the light-cone gauge by [84].”
Wrapping interactions and a new source of corrections to the spin-chain/string duality (2005, background): “(10) For the world sheet string theories in curved AdS space-time it was pointed out [40, 14, 16, 9] that the usual light cone gauge like τ = t (where t is e.”
Strings in flat space and pp waves from N = 4 Super Yang Mills (2002, background): “The last step is the fixing of the bosonic light-cone gauge, which for the AdS5 × S5 case was done in [41].”
Large spin limit of AdS5×S5 string theory and low energy expansion of ferromagnetic spin chains (2004, background): “46) is reparametrization invariant, and then as in [32] (in flat space) and in [33] (in AdS space) one may fix a gauge, e.”
Finite-size effects from giant magnons (2006, background): “…uniform gauge (2.7) (with m = 0), and following the steps described in the previous section, we derive the gauge-fixed string action (3.4)S = √ λ 2π r∫ −r dσ dτ(pzż −H), where the density of the gauge-fixed Hamiltonian is a function of the coordinate z and its canonically conjugate momentum pz.”
Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills (2002, background): “The last step is the fixing of the bosonic light-cone gauge, which for the AdS5 × S5 case was done in [ 41 ].”
Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector (2005, background): “This gauge generalizes the standard phase-space light-cone gauge of [35] to a curved background [36].”
Pohlmeyer reduction of AdS5×S5 superstring sigma model (2007, background): “One natural option is to expand near the null geodesic parallel to the boundary in the Poincare patch; the resulting gauge-fixed action is then quartic in fermions [6].”
Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, background): “The resulting supergravity background for string theory dual of the real β-deformation of (7)For the purpose of eventually considering a quantum string theory the starting point may be the light-cone κ-symmetry gauge fixed action of [43]; this action also has a desirable feature that the isometries ”
Worldsheet scattering in AdS(5) x S**5 (2006, background): “In one case, the light-cone directions lie in AdS5 [ 32 ]; this gauge choice is possible only in the Poincar´e patch of AdS5.”