Ebook: Super Field Theories

The Super Field Theory Workshop, held at Simon Fraser University, Vancouver, Canada July 25 - August 5, 1986 was originally intended to be a sequel to the 1983 Chalk River Workshop on Kaluza-Klein Theories and the 1985 Workshop on Quantum Field Theories held at the University of Western Ontario. The scope of the workshop was therefore not to be very big, with a program of about 20 papers, an anticipated 30 to 45 participants, and with much time scheduled for discussion and personal contact. These goals were soon changed in the face of wide interest in the workshop, both for participation and for giving talks, so that the workshop materialized with about 90 participants and 40 talks. This volume contains the texts, some considerably expanded from the oral version, of most of the talks pre­ sented at the workshop. Not included are a few talks whose manuscripts were not made available to the editors. In the last few years the subject of particle physics and unified field theory has developed in a way not witnessed in the last fifty years: a confluence with mathematics, especially in geometry, topology and algebra at an advanced level. This has vastly expanded the horizon of the disci­ pline and heightened the expectation that a true understanding of the fun­ damental laws of physics may soon be within reach. Most aspects of this new development are covered, many in pedagogical detail, by articles in this volume.

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Content:
Front Matter....Pages i-ix
Light-Cone Physics....Pages 1-38
Supergravity....Pages 39-65
Vacuum Stability in Kaluza-Klein Theories....Pages 67-76
Lectures on Non-Linear Sigma-Models and Strings....Pages 77-168
Torus Compactification of the Bosonic String and their Superstring Context....Pages 169-178
Hidden Symmetry of Two Dimensional ?-Model Defined on Symmetric Goset Space....Pages 179-190
Representations of the Two-Dimensional Conformal Group....Pages 191-208
Recent Developments in the Path Integral Approach to Anomalies....Pages 209-231
Representations of Kac-Moody and Virasoro Algebras....Pages 233-263
Dimensions, Indices and Congruence Classes of Representations of Affine Kac-Moody Algebras (with examples for affine E8)....Pages 265-273
Four-Loop Sigma-Model Beta-Functions Versus ?’ 3 Corrections to Superstring Effective Actions....Pages 275-282
Modular Invariance and Finiteness of Five-Point Closed Superstrings....Pages 283-292
Some Topics in the Low-Energy Physics from Superstrings....Pages 293-319
Yukawa Couplings Between (2, 1)-Forms....Pages 321-365
The Polyakov Approach and Divergences in Open Superstrings....Pages 367-388
On the Evaluation of Superstring Anomalies....Pages 389-397
On the Covariant Quantization of Anomalous Gauge Theories....Pages 399-406
Quantum Adiabatic Phases And Chiral Gauge Anomalies....Pages 407-416
Preregularization And The Ambiguity Structure of the Jacobian for Chiral Symmetry Transformations....Pages 417-426
Operator Regularization....Pages 427-432
An Analytic Regularization For Supersymmetry Anomalies....Pages 433-445
Non-Symmetric Coset Spaces With Torsion-Alternative Compactifications Of 10-D Superstrings*....Pages 447-452
Direct Compactification of Heterotic Strings, Modular Invariance and Three Families of Chiral Fermions....Pages 453-466
Superstring Compactification On S6 With Torsion....Pages 467-472
Superstring Cosmology at Late Times and Time Variation of Fundamental Coupling Constants....Pages 473-487
The Ground State of Stringy Gravity....Pages 489-494
The Functional Measure In Quantum Field Theory....Pages 495-502
Vilkovisky’s Unique Effective Action: An Introduction and Explicit Calculation....Pages 503-517
Gauge and Parametrization Dependence in Kaluza-Klein Theory....Pages 519-525
New Algebraic Canonical Structures Of Integrability In 2-D Field Theories....Pages 527-532
B.R.S. Algebra and Anomalies....Pages 533-542
BRST Current Algebra Derivation of the Higher Cocycles....Pages 543-545
Superconformal Algebras....Pages 547-555
Supermanifolds and Super Riemann Surfaces....Pages 557-569
Non-Linear Realization of Heavy Fermions*....Pages 571-576
Back Matter....Pages 577-582
....Pages 587-598