Mathematical Aspects Of String Theory - Proceedings Of The Conference On Mathematical Aspects Of String Theory (advanced Mathematical Physics)

One way to encourage an exchange of ideas between the two disciplines is to bring the string physicists and interested mathematicians together at a conference. One such conference was held at the Mathematical Sciences Research Institute in Berkeley, California in March 1986. The lectures dealt primarily with the Riemann surface aspect of strings. We held a conference in La Jolla during July 1986 to catalyze the exchange of ideas started at the Berkeley conference and to expand the directions for pursuit of solutions to the mathematical problems involved. It is our pleasure to present the proceedings of this conference in this publication. Contents:Introduction to Quantum Field Theory, Path Integrals and String (B Hatfield)From Polyakov to Moduli (J Polchinski)Geometry of Quantum Strings (E D'Hoker & D H Phong)BRST Quantization and BRST Cohomology (N Marcus & A Sagnotti)Analytic Structure of Two-Dimensional Quantum Field Theories (P Nelson)Geometrical Meaning of Currents in String Theory (O Alvarez & P Windey)String Field Theory and the Geometry of Moduli Space (S Giddings)String Theory Without a Background Spacetime Geometry (G Horowitz)Holomorphic Curves on Manifolds of SU(3) Holonomy (E Witten)Vertex Operator Calculus (I Frenkel et al.)On Determinant Line Bundles (D Freed)h-Invariant and the Index (I Singer)Action Principles and Global Geometry (G Zuckerman)Introduction to Moduli Space of Curves (J Harris)Moduli Space of Punctured Surfaces (R Penner)Geometric Complex Coordinates for Teichmüller Space (A Marden)Asymptotics of the Selberg Zeta Function and the Polyakov Bosonic Integrand (S Wolpert)Super Riemann Surfaces (J Rabin)Divisors on Mg and the Cosmological Constant (M Chang & Z Ran)Severi Problem: A Post-Mortem (?) (Z Ran)Slope of Subvarieties of M15 (6 2/3 ≤ S15 ≤ 6 3/4) (M Chang & Z Ran)Arithmetic Intersections (G Faltings)Deformation Theory for Cohomology of Analytic Vector Bundles on Kähler Manifolds (M Green & R Lazarsfeld)Topology and Geometry in Superstring-Inspired Phenomenology (B Greene et al.)Yukawa Couplings between (2, 1)-Forms (P Candelas)Three-Dimensional Algebraic Maniforlds with C1=0 and x=-6 (G Tian & S T Yau)Hermitian-Yang-Mills Connection on Non-Kähler Manifolds (J Li & S T Yau)Existence of Kähler-Einstein Metrics on Complete Kähler Manifolds (G Tian & S T Yau)Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and its Peterson-Weil Metric (G Tian)Critical Phenomena (S Shenker)Readership: Mathematical and high energy physicists.Key Features:A book that combines robotics, computer vision and cluster computingContains instructions on how to set up a clusterCovers many of the crucial algorithmic areas of robotics and computer vision for robotics, and presents cluster implementations of eachEach algorithmic area (each chapter 4 through 9) is basically standalone, and can be read and used without reference to the other areas Introduction To Quantum Field Theory, Path Integrals And Strings / B.f. Hatfield -- From Polyakov To Moduli / J. Polchinski -- Geometry Of Quantum Strings / E. D'hoker & D. H. Phong -- Brst Quantization And Brst Cohomology / N. Marcus & A. Sagnotti -- Analytic Structure Of Two-dimensional Quantum Field Theories / P. Nelson -- Geometrical Meaning Of Currents In String Theory / O. Alvarez & P. Windey -- String Field Theory And The Geometry Of Moduli Space / S. B. Giddings -- String Theory Without A Background Spacetime Geometry / G. T. Horowitz -- Holomorphic Curves On Manifolds Of Su(3) Holonomy / E. Witten -- Vertex Operator Calculus / I. B. Frenkel, J. Lepowsky & A. Meurman -- On Determinant Line Bundles / D. S. Freed -- The [n]-invariant And The Index / I. M. Singer -- Action Principles And Global Geometry / G. J. Zuckerman -- Introduction To Moduli Space Of Curves / J. Harris -- Moduli Space Of Punctured Surfaces / R. C. Penner -- Geometric Complex Coordinates For Teichmüller Space / A. Marden -- Asymptotics Of The Selberg Zeta Function And The Polyakov Bosonic Integrand / S. A. Wolpert -- Super Riemann Surfaces / J. M. Rabin -- Divisors On [m̄g] And The Cosmological Constant / M. C. Chang & Z. Ran -- Severi Problem: A Post-mortem (?) / Z. Ran -- A Note On The Slope Of Subvarieties Of [m̄ Subscript15] (6 2/3 ≤ S15 ≤ 6 3/4) / M. C. Chang & Z. Ran -- Arithmetic Intersections / G. Faltings -- Deformation Theory For Cohomology Of Analytic Vector Bundles On Kähler Manifolds, With Applications / M. Green & R. Lazarsfeld -- Topology And Geometry In Superstring-inspired Phenomenology / B. R. Greene, K. H. Kirkin & P.j. Miron -- Yukawa Couplings Between (2, 1)-forms / P. Candelas -- Three-dimensional Algebraic Manifolds With C[subscript 1]=0 And X=-6 / G. Tian & S. T. Yau -- Hermitian-yang-mills Connection On Non-kähler Manifolds / J. Li & S. T. Yau -- Existence Of Kähler-einstein Metrics On Complete Kähler Manifolds / G. Tian & S. T. Yau -- Smoothness Of The Universal Deformation Space Of Compact Calabi-yau Manifolds And Its Peterson-weil Metric / G. Tian -- Critical Phenomena / S. H. Shenker. Edited By S.t. Yau. Includes Bibliographies. Mathematical aspects of string theory. Edited by S-T Yau. Advanced Series in Mathematical Physics, 1. (600 dpi lossless)(600dpi)(T)(ISBN 9971502739)(334s)