Holography beyond the Penrose limit

By C. Callan, Jr., Tristan McLoughlin, Ian Swanson. 2004

158 citations recorded by the source corpus.

The flat pp-wave background geometry has been realized as a particular Penrose limit of AdS5 × S 5 . It describes a string that has been infinitely boosted along an equatorial null geodesic in the S 5 subspace. The string worldsheet Hamiltonian in this background is free. Finite boosts lead to curvature corrections that induce interacting perturbations of the string worldsheet Hamiltonian. We develop a systematic light-cone gauge quantization of the interacting worldsheet string theory and use it to obtain the interacting spectrum of the so-called ‘two-impurity’ states of the string. The quantization is technically rather intricate and we provide a detailed account of the methods we use to extract explicit results. We give a systematic treatment of the fermionic states and are able to show that the spectrum possesses the proper extended supermultiplet structure (a non-trivial fact since half the supersymmetry is nonlinearly realized). We test holography by comparing the string energy spectrum with the scaling dimensions of corresponding gauge theory operators. We confirm earlier results that agreement obtains in low orders of perturbation theory, but breaks down at third order. The methods presented here can be used to explore these issues in a wider context than is specifically dealt with in this paper.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1e8fe1348504775b8abd930a4309fc743a7d017d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Frolov
2. A. Tseytlin
3. G. Arutyunov
4. K. Zarembo
5. N. Beisert
6. M. Staudacher
7. Vladimir Kazakov
8. M. Zamaklar

In Nuclear and High Energy Physics

1. S. Frolov
2. A. Tseytlin
3. N. Beisert
4. G. Arutyunov
5. M. Staudacher
6. K. Zarembo
7. R. Roiban
8. Vladimir Kazakov

Citations in the corpus

• Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings (2005, methodology): “ gap equation describing the classical sigma model in this sector [10]. Furthermore, it was argued that the spectrum of strings in the near-plane wave geometry [40], which had recently be obtained in [31,41], is consistent with a factorized S-matrix. The latter was extracted for the three two-compon”
• Classical/quantum integrability in non-compact sector of AdS/CFT (2004, methodology): “The classical solutions of the sigma-model can be parameterized by an (1)The discrepancies found at three loops for the BMN operators [23, 24, 25] and for the semiclassical string states [8] can be attributed to the weak/strong coupling nature of the AdS/CFT correspondence [9] that apparently manife”
• Pohlmeyer reduction of AdS5×S5 superstring sigma model (2007, methodology): “An alternative is to use the null geodesic wrapping S(5) [7]; the resulting action [8, 9, 10] has a rather complicated structure with many non-linear interaction terms.”
• The off-shell symmetry algebra of the light-cone AdS5 × S5 superstring (2006, background): “Based on extensive work [6]-[11] it is becoming more and more apparent that a particularly convenient world-sheet gauge choice is the so-called generalised uniform light-cone gauge [8, 10].”
• Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector (2005, background): “spectrum of quadratic fluctuations can be found explicitly (and one can, in principle, also compute subleading corrections to their energies as in the BMN case in [16]).”
• Bethe ansatz for quantum strings (2004, methodology): “It would be interesting to generalize the calculation of [19] to the case of four (and more) impurities to check the predictions of the string Bethe ansatz.”
• On string theory on AdS3×S3×T4 with mixed 3-form flux: Tree-level S-matrix (2013, methodology): “Alternative ways of doing near-BMN expansion were discussed in [39, 40, 41].”
• Algebraic Curve for the SO(6) Sector of AdS/CFT (2004, background): “It reproduces the near BMN results of [43–46] and, even more remarkably, a generic 4 √ λ behavior at large coupling in agreement predicted in [69].”
• The factorized S-matrix of CFT/AdS (2004, background): “Recent studies of the near-BMN limit [27, 28, 29, 30, 31] yield information on how these excitations begin to interact.”