The Advancea Kesearch Workshop on Superstrings was held on the campus of the University of Colorado at Boulder from July 27th through August 1, 1987. Since the work of Green and Schwartz in the summer of 1984, string theories have elicited tremendous amount of interest from both theoretical physicists and mathematicians. The objective of the Workshop was to bring together practitioners in the field to discuss the progress and problems, and possible directions of future research. There were ten talks of one hour each and twenty three talks of one-half hour each. The talks covered new formulations and technical developments. There were intense discussions both during and at the end of the lectures; 'further discussions continued during lunch and dinner. These proceedings contain all talks given at the Workshop except those by Victor Kac, Darwin Chang and Doron Gepner. The Workshop was sponsored by the North Atlantic Treaty Organization, which provided generous financial support enabling many young physicists from the U.S. and abroad to participate in the Workshop. Additional co-sponsors were the U.S. Department of Energy and the University of Colorado. The former offered further financial assistance and the latter furnished clerical and technical services and its campus facilities for the purpose of the organization and running of the Workshop. The International Organizing Committee consisted of John Ellis, Francois Englert, Peter G.O. Freund (co-director), K. T. Mahanthappa (co-director) and Abdus Salam. Front Matter....Pages i-ix Front Matter....Pages 1-1 Modular Invariance and Infinite-Dimensional Algebras....Pages 3-16 Off-Shell BRST Invariant Superjacobians....Pages 17-25 Front Matter....Pages 27-27 A Geometry Independent Field Theory of String....Pages 29-38 The Gluing Theorem in the Operator Formulation of String Field Theory....Pages 39-50 Conformal Field Theory Methods and Construction of Witten’s Superstring Field Theory....Pages 51-59 Gauge Invariance, BRST Invariance, and Ward Identities, in String Field Theory....Pages 61-68 Closed Strings and Witten’s String Field Theory....Pages 69-78 Geometric String Field Theory: Deriving String Theory from First Principles....Pages 79-88 On Higher Order Interactions for Superstrings....Pages 89-97 Front Matter....Pages 99-99 Kähler Geometry of String Theory....Pages 101-108 Numbers and Strings....Pages 109-113 Front Matter....Pages 115-115 Type II Superstrings in Four Dimensions....Pages 117-133 Four-Dimensional Strings....Pages 135-146 String Thermodynamics and Cosmology....Pages 147-157 Orbifold Compactification Toward Standard Model....Pages 159-166 Front Matter....Pages 167-167 Liouville Strings....Pages 169-186 A Polyakov Path Integral with Ghosts....Pages 187-197 String Path Integrals for open or Unoriented World Sheets....Pages 199-204 Front Matter....Pages 205-205 Two Loop Partition Function in (Compactified) Heterotic String Vacua....Pages 207-216 String Perturbation Theory and Effective Lagrangians....Pages 217-225 Front Matter....Pages 227-227 Chiral Bosonization....Pages 229-242 Superstring Anomalies....Pages 243-249 Topology, Superspace, and Heterotic Gravitational Anomalies....Pages 251-258 Anomaly-Free Theories Remain Anomaly-Free after Compactification with no Isometries....Pages 259-268 Many New Anomaly-Free Theories in Higher Dimensions....Pages 269-283 Front Matter....Pages 285-285 Supermembranes....Pages 287-300 On the Massless Excitations of the 11d Supermembrane....Pages 301-311 Highlights of Parastring Theories....Pages 313-323 Line Functional Theory for Strings....Pages 325-334 Internal Symmetry for Type I Strings in Oscillator Formalism....Pages 335-344 Back Matter....Pages 345-350
