Conformal Field Theory of AdS Background with Ramond-Ramond Flux

We review a formalism of superstring quantization with manifest six-dimensional spacetime supersymmetry, and apply it to AdS3 × S3 backgrounds with Ramond-Ramond flux. The resulting description is a conformal field theory based on a sigma model whose target space is a certain supergroup SU'(2|2).

[1]  N. Berkovits Quantization of the Superstring with Manifest U(5) Super-Poincare Invariance , 1999, hep-th/9902099.

[2]  M. Rozali,et al.  On the quantization of the GS string on AdS5×S5 , 1999, hep-th/9902046.

[3]  M. Perry,et al.  The No-ghost Theorem and Strings on AdS_3 , 1998, hep-th/9812252.

[4]  B. Zhang,et al.  Light-cone gauge quantization of string theories on AdS3 space , 1998, hep-th/9812216.

[5]  J. Boer,et al.  String theory on AdS3 , 1998, hep-th/9812046.

[6]  A. Rajaraman,et al.  The GS string action on AdS(3) x S(3) with Ramond-Ramond charge , 1998, hep-th/9809164.

[7]  R. Kallosh,et al.  The GS string action on AdS5×S5 , 1998, hep-th/9808038.

[8]  I. Pesando,et al.  A k Gauge Fixed Type IIB Superstring Action on AdS_{5} X S_{5} , 1998, hep-th/9808020.

[9]  D. Kutasov,et al.  Comments on string theory on AdS(3) , 1998, hep-th/9806194.

[10]  R. Kallosh,et al.  Near horizon superspace , 1998, hep-th/9805217.

[11]  L. Susskind,et al.  The Holographic bound in anti-de Sitter space , 1998, hep-th/9805114.

[12]  A. Tseytlin,et al.  Type IIB superstring action in AdS5 × S5 background , 1998, hep-th/9805028.

[13]  J. Maldacena,et al.  AdS3 black holes and a stringy exclusion principle , 1998, hep-th/9804085.

[14]  J. Teschner The mini-superspace limit of the SL(2,C/SU(2)-WZNW model , 1997, hep-th/9712258.

[15]  J. Maldacena The Large-N Limit of Superconformal Field Theories and Supergravity , 1997, hep-th/9711200.

[16]  J. Boer,et al.  Covariant computation of the low-energy effective action of the heterotic superstring , 1996, hep-th/9608078.

[17]  N. Berkovits A New Description of the Superstring , 1996, hep-th/9604123.

[18]  W. Siegel,et al.  Superspace effective actions for 4D compactifications of heterotic and Type II superstrings , 1995, hep-th/9510106.

[19]  I. Bars,et al.  Ghost-free spectrum of a quantum string in SL(2,R) curved spacetime. , 1995, Physical review. D, Particles and fields.

[20]  N. Berkovits Super-Poincaré invariant superstring field theory , 1995, hep-th/9503099.

[21]  C. Vafa,et al.  N = 4 topological strings , 1994, hep-th/9407190.

[22]  S. Sethi Supermanifolds, rigid manifolds and mirror symmetry , 1994, hep-th/9404186.

[23]  N. Berkovits Covariant quantization of the Green-Schwarz superstring in a Calabi-Yau background , 1994, hep-th/9404162.

[24]  N. Ohta,et al.  N=1 from N=2 superstrings , 1993, hep-th/9312187.

[25]  C. Vafa,et al.  ON THE UNIQUENESS OF STRING THEORY , 1993, hep-th/9310170.

[26]  H. Ooguri,et al.  Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes , 1993, hep-th/9309140.

[27]  H. Ooguri,et al.  Holomorphic anomalies in topological field theories , 1993 .

[28]  I. Antoniadis,et al.  Topological amplitudes in string theory , 1993, hep-th/9307158.

[29]  M. Henningson,et al.  Modular invariance of SU (1,1) strings , 1991 .

[30]  Stephen Hwang No-ghost theorem for SU(1,1) string theories , 1991 .

[31]  I. Bars Free fields and new cosets of current algebras , 1991 .

[32]  I. Bars,et al.  String propagation in backgrounds with curved space-time☆ , 1991 .

[33]  E. Witten On the Structure of the Topological Phase of Two-dimensional Gravity , 1990 .

[34]  P. Petropoulos Comments on SU(1,1) string theory , 1990 .

[35]  A. Wipf,et al.  Consistency of string propagation on curved spacetimes. An SU(1, 1) based counterexample , 1989 .

[36]  Z. F. Ezawa,et al.  Chiral bosonization of superconformal ghosts on the Riemann surface and path-integral measure , 1989 .

[37]  H. Verlinde,et al.  Multiloop calculations in covariant superstring theory , 1987 .

[38]  Michael B. Green,et al.  Covariant description of superstrings , 1984 .

[39]  G. Hooft A Planar Diagram Theory for Strong Interactions , 1974 .

[40]  T. String The Ten-dimensional Green-schwarz Superstring Is a Twisted Neveu-schwarz-ramond String , 1994 .

[41]  S. Shenker,et al.  Conformal invariance, supersymmetry and string theory , 1986 .