Strings in a time dependent orbifold

We consider string theory in a time dependent orbifold with a null singularity. The singularity separates a contracting universe from an expanding universe, thus constituting a big crunch followed by a big bang. We quantize the theory both in light-cone gauge and covariantly. We also compute some tree and one loop amplitudes which exhibit interesting behavior near the singularity. Our results are compatible with the possibility that strings can pass through the singularity from the contracting to the expanding universe, but they also indicate the need for further study of certain divergent scattering amplitudes.

[1]  V. Balasubramanian,et al.  A space-time orbifold: A toy model for a cosmological singularity , 2002, hep-th/0202187.

[2]  J. Maldacena.  Eternal black holes in anti-de Sitter , 2001, hep-th/0106112.

[3]  D. Grumiller,et al.  Non-existence of a dilaton gravity action for the exact string black hole , 2002, hep-th/0210060.

[4]  A. Lawrence.  Instability of 3d Null Singularities , 2002, hep-th/0205288.

[5]  Hyung Do Kim,et al.  TeV scale 5D SU(3)W unification and the fixed point anomaly cancellation with chiral split multiplets , 2002, hep-th/0204132.

[6]  N. Turok,et al.  Quantum fields in a big-crunch–big-bang spacetime , 2002, hep-th/0204091.

[7]  E. Kiritsis,et al.  Strings in homogeneous gravitational waves and null holography , 2002, hep-th/0204004.

[8]  E. Silverstein,et al.  Clean Time-Dependent String Backgrounds from Bubble Baths , 2002, hep-th/0204158.

[9]  Ashoke Sen,et al.  Rolling Tachyon , 2002, hep-th/0203211.

[10]  J. Simón.  The geometry of null rotation identifications , 2002, hep-th/0203201.

[11]  N. Nekrasov.  Milne universe, tachyons, and quantum group , 2002, hep-th/0203112.

[12]  A New cosmological scenario in string theory , 2002, hep-th/0203031.

[13]  A. Strominger,et al.  Space - like branes , 2002, hep-th/0202210.

[14]  N. Seiberg.  From Big Crunch To Big Bang - Is It Possible? , 2002, hep-th/0201039.

[15]  P. Steinhardt,et al.  From big crunch to big bang , 2001, hep-th/0108187.

[16]  I. Kogan,et al.  H-BRANES AND CHIRAL STRINGS , 2001, hep-th/0107163.

[17]  W. Hiscock.  Quantized Fields and Chronology Protection , 2000, gr-qc/0009061.

[18]  J. Figueroa-O'Farrill,et al.  Breaking the -waves , 2000 .

[19]  J. Oh,et al.  Quantisation of Conformal Fields in AdS_3 Black Hole Spacetime , 1997 .

[20]  J. Oh,et al.  Quantization of Conformal Fields in Three-Dimensional Anti-De Sitter Black Hole Space-Time , 1997, hep-th/9708072.

[21]  The (2 + 1)-dimensional black hole , 1995, gr-qc/9506079.

[22]  C. S..  The ( 2 + 1 )-Dimensional Black Hole , 1995 .

[23]  A. Tseytlin.  Exact string solutions and duality , 1994, hep-th/9407099.

[24]  Maki,et al.  Quantum fluctuation of stress tensor and black holes in three dimensions. , 1994, Physical review. D, Particles and fields.

[25]  G. Lifschytz,et al.  Scalar field quantization on the (2+1)-dimensional black hole background. , 1993, Physical review. D, Particles and fields.

[26]  Steif,et al.  Quantum stress tensor in the three-dimensional black hole. , 1993, Physical review. D, Particles and fields.

[27]  Susskind,et al.  The stretched horizon and black hole complementarity. , 1993, Physical review. D, Particles and fields.

[28]  G. Moore.  Finite in All Directions , 1993, hep-th/9305139.

[29]  Zanelli,et al.  Geometry of the 2+1 black hole. , 1993, Physical review. D, Particles and fields.

[30]  Hawking,et al.  Chronology protection conjecture. , 1992, Physical review. D, Particles and fields.

[31]  Moore,et al.  Classical scattering in (1+1)-dimensional string theory. , 1992, Physical review. D, Particles and fields.

[32]  P. Francesco,et al.  World-sheet and space-time physics in two-dimensional (super)string theory , 1991, hep-th/9109005.

[33]  J. Polchinski,et al.  Duality survives time dependence , 1991 .

[34]  P. Francesco,et al.  Correlation functions in 2D string theory , 1991 .

[35]  G. Horowitz,et al.  Singular string solutions with nonsingular initial data , 1991 .

[36]  J. Polchinski.  Classical limit of (1+1)-dimensional string theory , 1991 .

[37]  J. Polchinski.  Critical behavior of random surfaces in one dimension , 1990 .

[38]  R. Rohm.  Spontaneous supersymmetry breaking in supersymmetric string theories , 1984 .