Mathematical Physics: Proceedings of the 12th Regional Conference: Islamabab, Pakistan 27 March-1 April 2006

TABLE OF CONTENTS......Page 12
PREFACE......Page 8
Formal Aspects......Page 16
1. Introduction......Page 18
3. What is Noncommutative Geometry......Page 19
4.2. Why is this space fuzzy......Page 20
4.3.3. Strings10......Page 21
5.1.1. Space-space noncommutativity......Page 22
5.3.1. Quantum Hall effect (the Landau problem)......Page 23
5.3.2. Strings......Page 24
References......Page 25
1. Introduction......Page 27
2. Parent actions......Page 28
3. Equivalence of partition functions......Page 31
References......Page 35
2. New Casimir Energy Results in Some 3-dimensional Cavities......Page 36
3. Some Known Casimir Energy Results for 3-dimens~nal Cavities......Page 37
Acknowledgements......Page 38
References......Page 39
1. Introduction......Page 40
2. Octonionic Roots of Es......Page 42
3. Quaternions and Polyhedra......Page 43
References......Page 45
1. Introduction......Page 46
2.1. Vectorial Lie superalgebras with polynomial or formal coefficients.......Page 47
2.3. Modules over stringy superalgebras.......Page 48
3.2. Spinor (Clifford-Weil-wedge-. . . ) and oscillator representations.......Page 50
3.3. The values c and h of the highest weight of the tL(lIN)- and tM (1IN)-module Spin(Fx;p).......Page 51
References......Page 52
1. Introduction......Page 54
2. The Transformed Operators z-J-, p......Page 55
3. Calculation of the transformed creation and annihilation operators......Page 57
4. Recursion relation for the transition amplitudes amn ( t ) = (mIU (t)l n)......Page 58
5. Calculation of the transition amplitude......Page 59
References......Page 61
1. Introduction......Page 62
2. Notion of entropy solutions......Page 64
4. Method of justification of Theorems 3.1 and 3.2......Page 65
Acknowledgment......Page 66
References......Page 67
1. Introduction......Page 68
1.1. Derivation of the FPK equation for fBm......Page 69
2. Generalized Liouville theorem......Page 70
3. Analytical solutions to the modified FPK equation......Page 72
References......Page 74
Particle Physics and String Theory......Page 76
1. Holographic principle and AdS/CFT correspondence......Page 78
2. Holography for de Sitter space......Page 80
2.2. Why de Sitter space?......Page 81
2.3. dS/CFT correspondence......Page 82
2.4. dS/dS correspondence......Page 83
References......Page 87
Brane Cosmology with String Antisymmetric Field F. Ardalan......Page 88
References......Page 93
1. Introduction......Page 94
2. Exact Operator Bosonization......Page 96
3.1. Half-BPS sector of h/ = 4 SYM and LLM geometries......Page 99
3.2. Free fermions on a circle......Page 101
3.3. 2 0 Yang-Mills on a cylinder......Page 102
References......Page 103
1. Thirty three years of the Weyl anomaly......Page 105
2. The holographic Weyl anomaly, 1998......Page 107
3. The Weyl anomaly and corrections to Newton’s law, 2000......Page 109
4. Weyl anomaly driven inflation, 2000......Page 110
5. The Weyl anomaly and the graviton mass, 2002......Page 113
References......Page 115
1. Introduction......Page 117
2. 11-dimensional solutions for 4-d black holes......Page 119
3. The near-horizon regime and geometrical transitions......Page 120
4. Acknowledgments......Page 122
References......Page 123
pstrings vs Strings D. Ghoshal......Page 124
References......Page 131
Detecting Two-photon Exchange Effects in Hard Scattering from Nucleon Targets P. Hood bhoy*......Page 132
References......Page 143
2. D = l l Supergravity......Page 145
3. The Geometry of BPS M-branes......Page 147
4. How BPS M-branes deform Calabi-Yaw......Page 148
5. Conclusions......Page 149
References......Page 150
1. Introduction......Page 151
2. Decay kinematics and current matrix elements......Page 152
3. Dispersion Relations......Page 153
4. Asymptotic Behavior......Page 154
5 . Ward Identities Constraints......Page 156
References......Page 160
1. Introduction......Page 162
2. Born term results......Page 163
3. Virtual corrections......Page 164
4. Tree graph contributions......Page 166
References......Page 169
1. Introduction......Page 170
2. NNLO description of heavy top quark production......Page 171
3. Decays of unpolarized and polarized top quarks......Page 175
4. Polarized top quark decays......Page 179
References......Page 182
1. Introduction......Page 184
2. Supersymmetry......Page 185
2.1. D9 on T0......Page 187
3. Fixing Complex Structure Moduli......Page 188
4. RR Tadpoles......Page 189
References......Page 190
1. Introduction......Page 192
2. Ga sigma models......Page 193
3. Tri-Critical Ising Model......Page 195
3.1. Chiral Primary States......Page 197
4. Topological Twist......Page 198
5 . The BRST Operator......Page 199
6. Topological Ga Strings......Page 201
7. Conclusions......Page 202
References......Page 203
Vacua in N = 4 Gauged Supersymmetry S. Panda......Page 205
References......Page 213
1. Introduction......Page 214
2. The Spectrum Scale of v-mass from Present to Projected Goal2......Page 217
3. Origin of Neutrino Mass......Page 218
4. Majorana Neutrinos......Page 219
5. Neutrino Mass Models......Page 221
6 . Leptogenesis......Page 222
References......Page 223
1. Introduction and Motivation......Page 225
2. D-branes, the key objects......Page 226
2.1. The Gauge Theory Picture......Page 228
2.2. The Gravity Picture......Page 229
3. The Tiny Graviton Matrix Theory......Page 230
3.2. Relation to LLM geometries......Page 232
4. Summary and Outlook......Page 233
References......Page 234
1. Blackholes and string theory......Page 235
2. Small 10-dim. Schwarzschild blackhole in Ads5 x S5......Page 236
3. Gauge theory and effective action......Page 237
4. Effective action and multi-trace unitary matrix model......Page 238
5. A lemma in matrix theory......Page 239
6. Critical behavior in the matrix model......Page 240
6.1. Critical surface of the large N phase transition......Page 241
7. Saddle point equations at large N......Page 242
8. Double scaled partition function at crossover......Page 243
8.1. Condensation of winding modes at the crossover......Page 245
9. Applications to the small blackhole-string transition......Page 246
10. Density of states and the singularity of the Lorentzian blackhole......Page 247
References......Page 248
Plasma Physics......Page 250
1. Introduction......Page 252
2. Linear magnetized Rossby waves in the ionospheric E-layer......Page 254
3. Nonlinear interactions of magnetized Rossby waves and zonal flows in the E-layer......Page 257
4. Discussion and Conclusions......Page 264
References......Page 265
1. Introduction......Page 267
2. Solar Corona - Observations - Inferences......Page 268
2.2. The Solar Wind (SW) - History......Page 269
2.4. Towards a General Unifying Model......Page 270
3.1. Construction of a Typical Coronal structure......Page 271
3.2. Curl Curl Equation - Double-Beltrami states......Page 274
3.4. An Example of structural richness......Page 275
4.1. Eruptive and Explosive events, Flaring......Page 276
4.2. Non-uniform density case......Page 277
4.3. Where do the flows come from? Reverse Dynamo - Flow generation......Page 278
4.4. Reverse Dynamo relationship — Theory......Page 279
4.5. Choice of Initial Fields......Page 281
4.6.2. Analytical Results — An Almost Reverse dynamo......Page 282
4.7. A Simulation of Dynamical Acceleration......Page 283
References......Page 285
1. Introduction......Page 298
2. Staged pinch dynamics......Page 300
Acknowledgments......Page 301
References......Page 302
1. Introduction......Page 305
2. IAW with Quasi-Neutrality......Page 306
3. Break-down of Quasi-Neutrality......Page 307
4. Discussion......Page 311
References......Page 312
Relativity, Astrophysics and Cosmology......Page 314
1. Introduction......Page 316
2. Classical Scalar Field......Page 318
4. Non-relativistic Particle......Page 320
6. Second Quantization......Page 323
7. Pure Maxwell Fields......Page 328
8. Relation with Boundary Conditions......Page 331
9. Conclusions......Page 332
References......Page 334
1. Introduction......Page 335
2. Spacetime and Ricci Collineation Equations......Page 337
3. Ricci Collineations for Degenerate Ricci Tensor Cases......Page 338
4. Ricci Collineations for Non-degenerate Ricci Tensor Cases......Page 342
5. Conclusions and Discussion......Page 344
References......Page 345
On the Gauss-Bonnet Gravity N. Dadhich......Page 346
References......Page 354
1. Introduction......Page 356
2. The Geometry of Symmetry......Page 357
3. Symmetry Orbits......Page 360
4. Isotropy......Page 362
5. Local Killing (and other Symmetry) Vector Fields......Page 365
6. Curvature Symmetry......Page 366
References......Page 367
1. Introduction......Page 369
2. Classical theory......Page 370
3. Quantum gravity......Page 372
3.1. Singularity resolution......Page 373
3.2. Quantum black holes......Page 374
References......Page 376
1. Introduction......Page 377
2. Results and Discussions......Page 379
References......Page 382
1. Introduction......Page 384
2. Symmetry classification and invariant characterization......Page 385
References......Page 389
1. Introduction......Page 390
2. The equations......Page 391
3. Collapse and bounce of a dust ball......Page 392
4. Is a black hole formed?......Page 394
References......Page 396
1. Introduction......Page 397
2. Incompatibility in Tests of Bell’s Inequalities......Page 399
3. Reduction of the Wave Function......Page 400
4. Degenerate Stars and the Role of Gravity in Quantum Theory......Page 401
5. Confronting the Photon with the Black Hole......Page 403
6 . Conclusion......Page 405
References......Page 406
Homothetic and Conformal Motions K. Saifullah......Page 408
References......Page 414
1. Introduction......Page 415
3. MAIN RESULTS......Page 416
References......Page 421
1. Introduction......Page 422
3. Solution of Matter Collineation Equations......Page 424
4. Discussion......Page 428
Acknowledgment......Page 429
References......Page 430
1. Introduction......Page 431
2. Foliation......Page 432
3. Foliation of a Black Hole Spacetime......Page 433
4. Foliation by Flat Hypersurfaces......Page 435
5 . The Foliation Procedure......Page 436
References......Page 437
1. Introduction......Page 439
2. Global and Local Gauge Transformations......Page 441
References......Page 444
1. Introduction......Page 445
2. The Information Loss Puzzle......Page 446
4. The CGHS model......Page 447
References......Page 450
1. Introduction......Page 451
2. Toy Model Lessons......Page 452
3. Signatures of Accretion Discs with High Inclination......Page 454
Acknowledgments......Page 455
References......Page 456
Participants......Page 460