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The W3 Algebra
The study of W algebras began in 1985 in the context of two-dimensional conf- mal field theories, the aim being to explore higher-spin extensions of the Virasoro algebra. Given the simultaneous growth in the understanding of two-dimensional metric gravity inspired by analyses of string models, it was inevitable that these algebras would be applied to give analogues of putative higher-spin gravity t- ories. This book is an exposition of the past few years of our work on such an application for the algebra: in particular, the BRST quantization of the n- critical 4D string. We calculate the physical spectrum as a problem in BRST cohomology. The corresponding operator cohomology forms a BV algeb...
Future Perspectives In String Theory, Strings '95 - Proceedings Of The Conference
The areas covered in this volume include: duality in string theory and supersymmetric gauge theories; phenomenological applications of string theory; strings in curved spacetime; quantum gravity; SUSY conformal field theories; QCD strings; aspects of mathematical physics, including: mirror symmetry, W-algebras, representation theory.
Strings, Branes and Extra Dimensions
This book covers some recent advances in string theory and extra dimensions. Intended mainly for advanced graduate students in theoretical physics, it presents a rare combination of formal and phenomenological topics, based on the annual lectures given at the School of the Theoretical Advanced Study Institute (2001) OCo a traditional event that brings together graduate students in high energy physics for an intensive course of advanced learning. The lecturers in the School are leaders in their fields. The first lecture, by E DOCOHoker and D Freedman, is a systematic introduction to the gaugeOCogravity correspondence, focusing in particular on correlation functions in the conformal case. The ...
From Field Theory to Quantum Groups
Professor Jerzy Lukierski, an outstanding specialist in the domain of quantum groups, will reach on May 21, 1995 the age of sixty. This is a birthday volume dedicated to him. It assumes the form of a collection of papers on a wide range of topics in modern research area from theoretical high energy physics to mathematical physics. Various topics of quantum groups will be treated with a special emphasis. Quantum groups is nowadays a very fashionable subject both in mathematics and high energy physics. Contents:Quantum Groups: General Formalism:Contractions, Hopf Algebra Extensions and Covariant Differential Calculus (J A de Azcárraga & J C Párez Bueno)The Linear Difference Derivatives and S...
Strings And Symmetries 1991
This is a collection of important papers presented by an international group of outstanding scientists at a seminar on strings and symmetries held in Stony Brook. This volume contains reviews on modern string theory and particle physics, including supersymmetric quantization, supergravity, conformal field theory, topological field theory, string phenomenology, matrix models, and W gravity. This proceedings is both an excellent introduction as well as reference source for researchers.
Confronting The Infinite - Proceedings Of A Conference In Celebration Of The Years Of H S Green And C A Hurst
In 1992, students of Bert Green and Angas Hurst conceived the idea of a meeting to commemorate their contributions to Mathematical Physics and to celebrate their passing the milestone of three score years and ten.In designing the scientific program there were two objectives. The first was to cover the full breadth of research in Mathematical Physics at Adelaide University since the founding of the Department of Mathematical Physics with the appointment of Professor Green in 1952. The second was to seek original contributions in areas of current interest and rapid development. The underlying theme was the interaction of mathematics and physics in the key areas of relativity, quantum field the...
Lie Algebras, Vertex Operator Algebras, and Related Topics
This volume contains the proceedings of the conference on Lie Algebras, Vertex Operator Algebras, and Related Topics, celebrating the 70th birthday of James Lepowsky and Robert Wilson, held from August 14–18, 2015, at the University of Notre Dame, Notre Dame, Indiana. Since their seminal work in the 1970s, Lepowsky and Wilson, their collaborators, their students, and those inspired by their work, have developed an amazing body of work intertwining the fields of Lie algebras, vertex algebras, number theory, theoretical physics, quantum groups, the representation theory of finite simple groups, and more. The papers presented here include recent results and descriptions of ongoing research initiatives representing the broad influence and deep connections brought about by the work of Lepowsky and Wilson and include a contribution by Yi-Zhi Huang summarizing some major open problems in these areas, in particular as they pertain to two-dimensional conformal field theory.
Extra Dimensions in Space and Time
In physics, the idea of extra spatial dimensions originates from Nordstöm’s 5-dimensional vector theory in 1914, followed by Kaluza-Klein theory in 1921, in an effort to unify general relativity and electromagnetism in a 5 dimensional space-time (4 dimensions for space and 1 for time). Kaluza–Klein theory didn’t generate enough interest with physicist for the next five decades, due to its problems with inconsistencies. With the advent of supergravity theory (the theory that unifies general relativity and supersymmetry theories) in late 1970’s and eventually, string theories (1980s) and M-theory (1990s), the dimensions of space-time increased to 11 (10-space and 1-time dimension). Th...
String Theory and Quantum Gravity '92
Contents:Ising Model and N = 2 Supersymmetric Theories (S Cecotti & C Vafa)The Dark Side of String Theory: Black Holes and Black Strings (G T Horowitz)Some Recent Developments in Closed String Field Theory (A Sen) Quantum Aspects of Black Holes (J A Harvey & A Strominger)The One Dimensional Matrix Model and String Theory (S R Das)Gravity and Gauge Theory at High Energies (H Verlinde)Notes on N = 2 σ-Models (J Distler)The W Geometry of Chiral Surfaces in Complex Projective Spaces (J-L Gervals)On Physical States in 2d (Topological) Gravity (P Bouwknegt et al)Dynamics of the Conformal Factor in 4D Gravity (I Antoniadis)Non-Relativistic Fermions, Coadjoint Orbits of W8 and String Field Theory at c = 1 (A Dhar et al)Simplicial Quantum Gravity (J Ambjørn et al)Gravitational Scattering at Planckian Energies: The Eikonal and Beyond (D Amati)A Proposal for D > 1 Strings? (L Alvarez-Gaumé & J L F Barbón)Differential Equations in Special Kähler Geometry (J Louis)N = 2 First Order Systems: Landau-Ginzburg Potentials and Topological Twist (P Fre & P Soriani) Readership: High energy physicists. keywords:
String-Math 2014
The conference String-Math 2014 was held from June 9–13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: “String-Math Summer School” (held from June 2–6, 2014, at the University of British Columbia), “Calabi-Yau Manifolds and their Moduli” (held from June 14–18, 2014, at the University of Alberta), and “Quantum Curves and Quantum Knot Invariants” (held from June 16–20, 2014, at the Banff International Research Station). This volume presents the proceedings of the conference and satellite workshops. For mathematics, string theory has been a source of many significant inspirations, ranging from Seiberg-Witten theo...
