Supersymmetric strings and waves in D = 3, N = 2 matter coupled gauged supergravities

We construct new 1/2 supersymmetric solutions in D = 3, N = 2, matter coupled, U(1) gauged supergravities and study some of their properties. In the most general case they represent a string superposed with gravitational and Chern-Simons electromagnetic waves. The waves are attached to the string and the solution satisfies an electromagnetic self-duality relation. When the sigma model is non-compact it interpolates between an asymptotically Kaigorodov space and a naked singularity. For the compact sigma model there is a regular horizon with the Kaigorodov geometry and asymptotically it is either Minkowskian or a pp-wave. When the sigma manifold is flat our solutions describe either AdS3 or Kaigorodov space or a pp-wave in AdS3.

[1]  H. Lu,et al.  pp waves in AdS gauged supergravities and supernumerary supersymmetry , 2004, hep-th/0408143.

[2]  D. Klemm,et al.  More on BPS solutions of N = 2, D = 4 gauged supergravity , 2004, hep-th/0406238.

[3]  H. Samtleben,et al.  Gauged Supergravities in Three Dimensions: A Panoramic Overview , 2004, hep-th/0403014.

[4]  L. P. Zayas,et al.  Correspondence principle for black holes in plane waves , 2004, hep-th/0401197.

[5]  M. M. Sheikh-Jabbari,et al.  The plane-wave/super Yang-Mills duality , 2003, hep-th/0310119.

[6]  R. Cai.  Boosted domain wall and charged Kaigorodov space , 2003, hep-th/0306140.

[7]  V. Hubeny,et al.  Black strings in asymptotically plane wave geometries , 2003, hep-th/0306131.

[8]  C. Patricot.  Kaigorodov spaces and their Penrose limits , 2003, hep-th/0302073.

[9]  S. Madsen,et al.  Self-dual cosmic strings and gravitating vortices in gauged sigma models , 2003, gr-qc/0302010.

[10]  V. Hubeny,et al.  Generating asymptotically plane wave spacetimes , 2002, hep-th/0211206.

[11]  J. Maldacena,et al.  Strings in flat space and pp waves from N = 4 Super Yang Mills , 2002 .

[12]  V. Hubeny,et al.  No horizons in pp-waves , 2002, hep-th/0210234.

[13]  N. S. Deger.  Renormalization Group Flows from D = 3, N = 2 Matter Coupled Gauged Supergravities , 2002, hep-th/0209188.

[14]  R. R. Metsaev.  Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background , 2002 .

[15]  J. Maldacena,et al.  Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills , 2002, hep-th/0202021.

[16]  H. Samtleben,et al.  Chern-Simons vortices in supergravity , 2001, hep-th/0112035.

[17]  G. Papadopoulos,et al.  A new maximally supersymmetric background of IIB superstring theory , 2001, hep-th/0110242.

[18]  R.R.Metsaev.  Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background , 2001, hep-th/0112044.

[19]  E. Sezgin,et al.  Chern–Simons supergravity plus matter near the boundary of AdS3 , 2000, hep-th/0012139.

[20]  H. Reall,et al.  AdS/CFT in the infinite momentum frame , 2000, hep-th/0012076.

[21]  R. Gueven.  Plane wave limits and T-duality , 2000, hep-th/0005061.

[22]  E. Sezgin,et al.  Matter coupled AdS3 supergravities and their black strings , 1999, hep-th/9908089.

[23]  M. Cvetič,et al.  Space-times of boosted p-branes, and CFT in infinite-momentum frame , 1998, hep-th/9810123.

[24]  E. Witten.  Anti-de Sitter space and holography , 1998, hep-th/9802150.

[25]  A. Polyakov,et al.  Gauge Theory Correlators from Non-Critical String Theory , 1998, hep-th/9802109.

[26]  J. Podolský.  Interpretation of the Siklos solutions as exact gravitational waves in the anti-de Sitter universe , 1998, gr-qc/9801052.

[27]  S. Ross.  Singularities in wavy strings , 1997, hep-th/9710158.

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

[29]  G. Horowitz,et al.  Black strings and classical hair , 1997, hep-th/9701077.

[30]  N. Kaloper,et al.  Wavy strings: Black or bright? , 1996, hep-th/9612248.

[31]  G. Horowitz,et al.  Counting states of black strings with traveling waves , 1996, hep-th/9605224.

[32]  C. Vafa,et al.  Microscopic origin of the Bekenstein-Hawking entropy , 1996, hep-th/9601029.

[33]  J. M. Izquierdo,et al.  Supersymmetric spacetimes in (2+1) adS-supergravity models , 1995, gr-qc/9501018.

[34]  Garfinkle.  Black string traveling waves. , 1992, Physical review. D, Particles and fields.

[35]  Zanelli,et al.  Black hole in three-dimensional spacetime. , 1992, Physical review letters.

[36]  J. Horne,et al.  Exact black string solutions in three dimensions , 1991, hep-th/9108001.

[37]  Vachaspati.,et al.  Cosmic-string traveling waves. , 1990, Physical review. D, Particles and fields.

[38]  D. Freedman,et al.  Stability in Gauged Extended Supergravity , 1982 .

[39]  J. Stachel.  Globally stationary but locally static space-times: A gravitational analog of the Aharonov-Bohm effect , 1982 .

[40]  R. Penrose.  Any Space-Time has a Plane Wave as a Limit , 1976 .

[41]  V. R. Kaigorodov.  Einstein Spaces of Maximum Mobility , 1963 .