Green-Schwarz string action on <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">AdS</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow><mrow><msup><mrow><mo>×</mo><mi mathvariant="normal">S</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> with Ramond-Ramond charge

J. Rahmfeld; Arvind Rajaraman

doi:10.1103/PhysRevD.60.064014

Access by Xinjiang University

Green-Schwarz string action on ${AdS}_{3} {\times S}^{3}$ with Ramond-Ramond charge

J. Rahmfeld^*

Arvind Rajaraman^†

Department of Physics, Stanford University, Stanford, California 94305-4060

Serin Physics Laboratory, Rutgers University, Piscataway, New Jersey 08854

^*Email address: rahmfeld@leland.stanford.edu
^†Email address: arvindra@alumni.stanford.org

PDF

Phys. Rev. D 60, 064014 – Published 20 August, 1999

DOI: https://doi.org/10.1103/PhysRevD.60.064014

Abstract

We derive the classical κ-symmetric type IIB string action on ${AdS}_{3} {\times S}^{3}$ by employing the $SU (1, 1 | {2)}^{2}$ algebra. We then gauge fix the κ symmetry in the background adapted Killing spinor gauge and present the action in a very simple form.

References (27)

J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
E. Witten, Adv. Theor. Phys. 2, 253 (1998).
R. R. Metsaev and A. A. Tseytlin, Nucl. Phys. B533, 109 (1998).
R. Kallosh, J. Rahmfeld, and A. Rajaraman, J. High Energy Phys. 09, 002 (1998).
R. Kallosh, “Superconformal actions in killing gauge,” hep-th/9807206 (1998).
R. Kallosh and J. Rahmfeld, “The gs string action on ${ads}_{5} {\times S}^{5},$ ” hep-th/9808038 (1998).
R. Kallosh and A. A. Tseytlin, J. High Energy Phys. 10, 016 (1998).
A. Giveon, D. Kutasov, and N. Seiberg, Adv. Theor. Math. Phys. 2, 733 (1998).
M. B. Green and J. H. Schwarz, Phys. Lett. 136B, 367 (1984).
J. Maldacena and A. Strominger, J. High Energy Phys. 12, 605 (1998).
K. Behrndt, I. Brunner, and I. Gaida, Phys. Lett. B 432, 310 (1998).
S. Deger, A. Kaya, E. Sezgin, and P. Sundell, Nucl. Phys. B536, 110 (1998).
J. de Boer, “Six-dimensional supergravity on $S^{3} {\times ads}_{3}$ and 2-d conformal field theory,” hep-th/9806104 (1998).
M. J. Duff, H. Lu, and C. N. Pope, Nucl. Phys. B544, 145 (1999).
L. J. Romans, Nucl. Phys. B276, 71 (1986).
R. Kallosh and A. Rajaraman, Phys. Rev. D 58, 125003 (1998).
P. Claus, R. Kallosh, J. Kumar, P. Townsend, and A. v. Proeyen, J. High Energy Phys. 06, 004 (1998).
R. Kallosh, Phys. Rev. D 57, 3214 (1998).
M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, England, 1987), Vol. 1, Introduction.
E. Bergshoeff, E. Sezgin, and P. K. Townsend, Phys. Lett. 169B, 191 (1986).
M. Awada, P. K. Townsend, and G. Sierra, Class. Quantum Grav. 2, L85 (1985).
M. J. Duff, J. T. Liu, and J. Rahmfeld, Nucl. Phys. B459, 125 (1996).
R. R. Metsaev and A. A. Tseytlin, Phys. Lett. B 436, 281 (1998).
H. Lu, C. N. Pope, and J. Rahmfeld, “A construction of killing spinors on $S^{n},$ ” hep-th/9805151 (1998).
P. Claus, R. Kallosh, and A. v. Proeyen (unpublished).
H. Pesando, J. High Energy Phys. 02, 007 (1999).

[c1] J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).

[c2] S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).

[c3] E. Witten, Adv. Theor. Phys. 2, 253 (1998).

[c4] R. R. Metsaev and A. A. Tseytlin, Nucl. Phys. B533, 109 (1998).

[c5] R. Kallosh, J. Rahmfeld, and A. Rajaraman, J. High Energy Phys. 09, 002 (1998).

[c6] R. Kallosh, “Superconformal actions in killing gauge,” hep-th/9807206 (1998).

[c7] R. Kallosh and J. Rahmfeld, “The gs string action on ${ads}_{5} {\times S}^{5},$ ” hep-th/9808038 (1998).

[c8] R. Kallosh and A. A. Tseytlin, J. High Energy Phys. 10, 016 (1998).

[c9] A. Giveon, D. Kutasov, and N. Seiberg, Adv. Theor. Math. Phys. 2, 733 (1998).

[c10] M. B. Green and J. H. Schwarz, Phys. Lett. 136B, 367 (1984).

[c11] J. Maldacena and A. Strominger, J. High Energy Phys. 12, 605 (1998).

[c12] K. Behrndt, I. Brunner, and I. Gaida, Phys. Lett. B 432, 310 (1998).

[c13] S. Deger, A. Kaya, E. Sezgin, and P. Sundell, Nucl. Phys. B536, 110 (1998).

[c14] J. de Boer, “Six-dimensional supergravity on $S^{3} {\times ads}_{3}$ and 2-d conformal field theory,” hep-th/9806104 (1998).

[c15] M. J. Duff, H. Lu, and C. N. Pope, Nucl. Phys. B544, 145 (1999).

[c16] L. J. Romans, Nucl. Phys. B276, 71 (1986).

[c17] R. Kallosh and A. Rajaraman, Phys. Rev. D 58, 125003 (1998).

[c18] P. Claus, R. Kallosh, J. Kumar, P. Townsend, and A. v. Proeyen, J. High Energy Phys. 06, 004 (1998).

[c19] R. Kallosh, Phys. Rev. D 57, 3214 (1998).

[c20] M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, England, 1987), Vol. 1, Introduction.

[c21] E. Bergshoeff, E. Sezgin, and P. K. Townsend, Phys. Lett. 169B, 191 (1986).

[c22] M. Awada, P. K. Townsend, and G. Sierra, Class. Quantum Grav. 2, L85 (1985).

[c23] M. J. Duff, J. T. Liu, and J. Rahmfeld, Nucl. Phys. B459, 125 (1996).

[c24] R. R. Metsaev and A. A. Tseytlin, Phys. Lett. B 436, 281 (1998).

[c25] H. Lu, C. N. Pope, and J. Rahmfeld, “A construction of killing spinors on $S^{n},$ ” hep-th/9805151 (1998).

[c26] P. Claus, R. Kallosh, and A. v. Proeyen (unpublished).

[c27] H. Pesando, J. High Energy Phys. 02, 007 (1999).

Physical Review D

Export citation

Export citation

Green-Schwarz string action on ${AdS}_{3} {\times S}^{3}$ with Ramond-Ramond charge

Abstract

References (27)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Green-Schwarz string action on AdS3×S3 with Ramond-Ramond charge

Abstract

References (27)

Green-Schwarz string action on ${AdS}_{3} {\times S}^{3}$ with Ramond-Ramond charge