Exactly solvable model of superstring in plane wave Ramond-Ramond background

By R. R. Metsaev, A. Tseytlin. 2002

534 citations recorded by the source corpus.

We describe in detail the solution of type IIB superstring theory in the maximally supersymmetric plane-wave background with constant null Ramond-Ramond 5-form field strength. The corresponding light-cone Green-Schwarz action found by Metsaev is quadratic in both bosonic and fermionic coordinates. We obtain the light-cone Hamiltonian and the string representation of the corresponding supersymmetry algebra. The superstring Hamiltonian has a ``harmonic-oscillator'' form in both the string oscillator and the zero-mode parts and thus has a discrete spectrum. We analyze the structure of the zero-mode sector of the theory, establishing the precise correspondence between the lowest-lying ``massless'' string states and the type IIB supergravity fluctuation modes in the plane-wave background. The zero-mode spectrum has a certain similarity to the supergravity spectrum in ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}$ background of which the plane-wave background is a special limit. We also compare the plane-wave string spectrum with the expected form of the light-cone gauge spectrum of the ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}$ superstring.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1cdcac421bf748a51c9de535f6ebfc2c940979ad

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

In Nuclear and High Energy Physics

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

Citations in the corpus

• Homogeneous plane waves (2002, background): “becomes the non-relativistic oscillator Hamiltonian, and it is this intimate relation between spacetime symmetries and worldsheet dynamics that makes string theory in these backgrounds work so beautifully [11, 16, 17 ] and that lies at the heart of the BMN correspondence [16, 29].”
• Classical/quantum integrability in AdS/CFT (2004, background): “The nearby spacetime of the string trajectory has a plane wave geometry in which the world-sheet string action in the light-cone gauge can be formulated as an infinite set of massive oscillators [12, 13].”
• Semiclassical Strings and AdS/CFT (2004, background): “The energies of the small fluctuations happen to have the structure [10, 6]”
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors (2003, background): “The first terms (one) in m1 and m2 are consistent with the expansion of the pp-wave [16] spectrum [17] at small α.”
• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory (2002, background): “In particular string quantization becomes feasible [6, 7].”
• The spinorial geometry of supersymmetric backgrounds (2004, unknown): “Yb”
• SPINNING STRINGS AND AdS/CFT DUALITY (2003, background): “A remarkable recent development initiated in [4] (which in turn was inspired by [5, 6]) is based on the idea that for a special subset of string/SYM states parametrized by large quantum numbers [7, 8] there may be new interesting limits in which certain quantum corrections may be suppressed.”
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities (2002, background): “Moreover the existence of the Hpp-wave vacua and in particular their interpretation as plane wave limits, has led to new progress on the AdS/CFT correspondence [23] and in particular has led to a gauge-theoretic derivation [24] of the spectrum of the IIB superstring on flat space and on the Hpp-wave”
• Stringing Spins and Spinning Strings (2003, unknown): “∗also at ITEP, Moscow, Russia.”
• On solvable models of type IIB superstring in NS-NS and R-R plane wave backgrounds (2002, methodology): “+ x 2 8) can be supported by the 5-form background leading to the string model [13,14,15] with maximal supersymmetry [16], or by a combination of NS-NS and R-R 3-form fluxes giving a model with 1/2 of maximal supersymmetry.”
• Gauge-string duality for (non)supersymmetric deformations of N=4 super-Yang–Mills theory (2005, background): “and a mass term coming from 5-form flux (see also [ 28 ] for a general structure of such actions).”
• The dilatation operator of conformal N=4 super-Yang–Mills theory (2003, background): “Assuming that the integrability structure extends to more than two loops, we determine the planar three-loop contribution to the dilatation operator.”
• Superstring interactions in a pp -wave background (2002, methodology): “We are grateful to M. Headrick, N. Itzhaki, I. Klebanov, J. Maldacena, S. Minwalla, L. Rastelli, K. Skenderis, A. Strominger, N. Toumbas, A. Tseytlin, D. Vaman, H. Verlinde and especially L. Motl for very useful discussions and comments.”