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…mehr
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.
Light-Cone Physics L. Brink.- Supergravity.- Vacuum Stability in Kaluza-Klein Theories.- Lectures on Non-Linear Sigma-Models and Strings.- Torus Compactification of the Bosonic String and their Superstring Content.- Hidden Symmetry of Two-Dimensional Sigma-Model Defined on Symmetric Coset Space K.C Chou.- Representations of the Two-Dimensional Conformal Group.- Recent Developments in the Path Integral Approach to Anomalies.- Representations of Kac-Moody and Virasoro Algebras.- Dimensions, Indices and Congruence Classes of Representations of Affine Kac-Moody Algebras (with examples for affine E8).- Four-Loop Sigma-Model Beta-Functions versus a'3 Corrections to Superstring Effective Actions.- Modular Invariance and Finiteness of Five-Point Closed Superstrings.- Some Topics in Low-Energy Physics from Superstrings.- Yukawa Couplings Between (2,1)-Forms.- The Polyakov Approach and Divergences in Open Superstrings.- On the Evaluation of Superstring Anomalies.- On the Covariant Quantization of Anomalous Gauge Theories.- Quantum Adiabatic Phases and Chiral Gauge Anomalies.- Preregularization and the Ambiguity Structure of the Jacobian for Chiral Symmetry Transformations.- Operator Regularization.- An Analytic Regularization for Supersymmetry Anomalies.- Non-Symmetric Coset Spaces with Torsion - Alternative Compactification of 10-d Superstrings.- Direct Compactification of Heterotic Strings, Modular Invariance and Three Families of Chiral Fermions.- Superstring Compactification on S6 with Torsion.- Superstring Cosmology at Late Times and Time Variation of Fundamental Coupling Constants.- The Ground State of Stringy Gravity.- The Functional Measure in Quantum Field Theory.- Vilkovisky's Unique Effective Action: An Introduction and Explicit Calculation.- Gauge andParametrization Dependence in Kaluza-Klein Theory.- New Algebraic Canonical Structures of Integrability in 2-D Field Theories.- B.R.S. Algebra and Anomalies.- BRST Current Algebra Derivation of the Higher Cocycles.- Superconformal Algebras.- Supermanifolds and Super Riemann Surfaces.- Non-Linear Realization of Heavy Fermions.- Supersymmetry Breaking in R x S3.- Participants.
Light-Cone Physics L. Brink.- Supergravity.- Vacuum Stability in Kaluza-Klein Theories.- Lectures on Non-Linear Sigma-Models and Strings.- Torus Compactification of the Bosonic String and their Superstring Content.- Hidden Symmetry of Two-Dimensional Sigma-Model Defined on Symmetric Coset Space K.C Chou.- Representations of the Two-Dimensional Conformal Group.- Recent Developments in the Path Integral Approach to Anomalies.- Representations of Kac-Moody and Virasoro Algebras.- Dimensions, Indices and Congruence Classes of Representations of Affine Kac-Moody Algebras (with examples for affine E8).- Four-Loop Sigma-Model Beta-Functions versus a 3 Corrections to Superstring Effective Actions.- Modular Invariance and Finiteness of Five-Point Closed Superstrings.- Some Topics in Low-Energy Physics from Superstrings.- Yukawa Couplings Between (2,1)-Forms.- The Polyakov Approach and Divergences in Open Superstrings.- On the Evaluation of Superstring Anomalies.- On the Covariant Quantization of Anomalous Gauge Theories.- Quantum Adiabatic Phases and Chiral Gauge Anomalies.- Preregularization and the Ambiguity Structure of the Jacobian for Chiral Symmetry Transformations.- Operator Regularization.- An Analytic Regularization for Supersymmetry Anomalies.- Non-Symmetric Coset Spaces with Torsion Alternative Compactification of 10-d Superstrings.- Direct Compactification of Heterotic Strings, Modular Invariance and Three Families of Chiral Fermions.- Superstring Compactification on S6 with Torsion.- Superstring Cosmology at Late Times and Time Variation of Fundamental Coupling Constants.- The Ground State of Stringy Gravity.- The Functional Measure in Quantum Field Theory.- Vilkovisky s Unique Effective Action: An Introduction and Explicit Calculation.- Gauge and Parametrization Dependence in Kaluza-Klein Theory.- New Algebraic Canonical Structures of Integrability in 2-D Field Theories.- B.R.S. Algebra and Anomalies.- BRST Current Algebra Derivation of the Higher Cocycles.- Superconformal Algebras.- Supermanifolds and Super Riemann Surfaces.- Non-Linear Realization of Heavy Fermions.- Supersymmetry Breaking in R x S3.- Participants.
Light-Cone Physics L. Brink.- Supergravity.- Vacuum Stability in Kaluza-Klein Theories.- Lectures on Non-Linear Sigma-Models and Strings.- Torus Compactification of the Bosonic String and their Superstring Content.- Hidden Symmetry of Two-Dimensional Sigma-Model Defined on Symmetric Coset Space K.C Chou.- Representations of the Two-Dimensional Conformal Group.- Recent Developments in the Path Integral Approach to Anomalies.- Representations of Kac-Moody and Virasoro Algebras.- Dimensions, Indices and Congruence Classes of Representations of Affine Kac-Moody Algebras (with examples for affine E8).- Four-Loop Sigma-Model Beta-Functions versus a'3 Corrections to Superstring Effective Actions.- Modular Invariance and Finiteness of Five-Point Closed Superstrings.- Some Topics in Low-Energy Physics from Superstrings.- Yukawa Couplings Between (2,1)-Forms.- The Polyakov Approach and Divergences in Open Superstrings.- On the Evaluation of Superstring Anomalies.- On the Covariant Quantization of Anomalous Gauge Theories.- Quantum Adiabatic Phases and Chiral Gauge Anomalies.- Preregularization and the Ambiguity Structure of the Jacobian for Chiral Symmetry Transformations.- Operator Regularization.- An Analytic Regularization for Supersymmetry Anomalies.- Non-Symmetric Coset Spaces with Torsion - Alternative Compactification of 10-d Superstrings.- Direct Compactification of Heterotic Strings, Modular Invariance and Three Families of Chiral Fermions.- Superstring Compactification on S6 with Torsion.- Superstring Cosmology at Late Times and Time Variation of Fundamental Coupling Constants.- The Ground State of Stringy Gravity.- The Functional Measure in Quantum Field Theory.- Vilkovisky's Unique Effective Action: An Introduction and Explicit Calculation.- Gauge andParametrization Dependence in Kaluza-Klein Theory.- New Algebraic Canonical Structures of Integrability in 2-D Field Theories.- B.R.S. Algebra and Anomalies.- BRST Current Algebra Derivation of the Higher Cocycles.- Superconformal Algebras.- Supermanifolds and Super Riemann Surfaces.- Non-Linear Realization of Heavy Fermions.- Supersymmetry Breaking in R x S3.- Participants.
Light-Cone Physics L. Brink.- Supergravity.- Vacuum Stability in Kaluza-Klein Theories.- Lectures on Non-Linear Sigma-Models and Strings.- Torus Compactification of the Bosonic String and their Superstring Content.- Hidden Symmetry of Two-Dimensional Sigma-Model Defined on Symmetric Coset Space K.C Chou.- Representations of the Two-Dimensional Conformal Group.- Recent Developments in the Path Integral Approach to Anomalies.- Representations of Kac-Moody and Virasoro Algebras.- Dimensions, Indices and Congruence Classes of Representations of Affine Kac-Moody Algebras (with examples for affine E8).- Four-Loop Sigma-Model Beta-Functions versus a 3 Corrections to Superstring Effective Actions.- Modular Invariance and Finiteness of Five-Point Closed Superstrings.- Some Topics in Low-Energy Physics from Superstrings.- Yukawa Couplings Between (2,1)-Forms.- The Polyakov Approach and Divergences in Open Superstrings.- On the Evaluation of Superstring Anomalies.- On the Covariant Quantization of Anomalous Gauge Theories.- Quantum Adiabatic Phases and Chiral Gauge Anomalies.- Preregularization and the Ambiguity Structure of the Jacobian for Chiral Symmetry Transformations.- Operator Regularization.- An Analytic Regularization for Supersymmetry Anomalies.- Non-Symmetric Coset Spaces with Torsion Alternative Compactification of 10-d Superstrings.- Direct Compactification of Heterotic Strings, Modular Invariance and Three Families of Chiral Fermions.- Superstring Compactification on S6 with Torsion.- Superstring Cosmology at Late Times and Time Variation of Fundamental Coupling Constants.- The Ground State of Stringy Gravity.- The Functional Measure in Quantum Field Theory.- Vilkovisky s Unique Effective Action: An Introduction and Explicit Calculation.- Gauge and Parametrization Dependence in Kaluza-Klein Theory.- New Algebraic Canonical Structures of Integrability in 2-D Field Theories.- B.R.S. Algebra and Anomalies.- BRST Current Algebra Derivation of the Higher Cocycles.- Superconformal Algebras.- Supermanifolds and Super Riemann Surfaces.- Non-Linear Realization of Heavy Fermions.- Supersymmetry Breaking in R x S3.- Participants.
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