On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds

By Jorge G. Russo, A. Tseytlin. 2002

184 citations recorded by the source corpus.

We consider type IIB string in the two plane-wave backgrounds which may be interpreted as special limits of the AdS_3 x S^3 metric supported by either the NS-NS or R-R 3-form field. The NS-NS plane-wave string model is equivalent to a direct generalization of the Nappi-Witten model, with its spectrum being similar to that of strings in constant magnetic field. The R-R model can be solved in the light-cone gauge, where the Green-Schwarz action describes 4 massive and 4 massless copies of free bosons and fermions. We find the spectra of the two string models and study the asymptotic density of states. We also discuss a more general class of exactly solvable plane-wave models with reduced supersymmetry which is obtained by adding twists in two spatial 2-planes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a3963c9891cc3bbf04018f362660473259166695

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. N. Beisert
2. A. Tseytlin
3. Marika Taylor
4. R. Roiban
5. M. Blau
6. S. Frolov
7. M. O'loughlin
8. D. Berenstein

In Nuclear and High Energy Physics

1. A. Tseytlin
2. N. Beisert
3. S. Frolov
4. M. Staudacher
5. R. Roiban
6. G. Arutyunov
7. Jorge G. Russo
8. Marika Taylor

Citations in the corpus

• Operators with Large R-Charge in N=4 Yang-Mills Theory (2002, background): “Moreover, it turns out that the string worldsheet sigma-model is exactly solvable in the plane wave background [5],[ 6 ]-[10].”
• Gauge-string duality for (non)supersymmetric deformations of N=4 super-Yang–Mills theory (2005, unknown): “12) in [9] with γ2 and γ3 multiplying the corresponding fermionic projectors θ Γ(γ̃2Γy1y2 + γ̃3Γz1z2)θ A and a mass term coming from 5-form flux (see also [25] for a general structure of such actions).”
• Solvable model of strings in a time-dependent plane-wave background (2002, background): “The solutions of string theory in the plane-wave background for which the matrix A = (Aij) is constant negative semi-definite and the dilaton is constant was discussed extensively in the literature, both in the case of non-vanishing NS-NS 2-form gauge potential [17, 18, 19]) and in the case of non-v”
• On lightcone string field theory from Super Yang-Mills and holography (2002, background): “ whose time direction flows along the global time coordinate in AdS, and that winds around a great circle of S5. 3 We thank Arkady Tseytlin for communicating this modified Penrose limit to us. See also [36]. 11 This is, we single two coordinates t,ψ, and we write a metric adapted to these geodesics ds”
• Homogeneous plane waves (2002, background): “In particular, one would like to know if string theory on these HPWs is exactly solvable (in the sense of [30]), as is the case for the Cahen-Wallach metrics [17, 18] and the metrics (2.”
• Branes in AdS and pp-wave spacetimes (2002, background): “These correspond to non-perturbative states in the dual gauge theory.”