Tensor constructions of open string theories. I. Foundations

DOI10.1016/S0550-3213(97)00580-4zbMath0911.53044arXivhep-th/9705038OpenAlexW2055665814MaRDI QIDQ1371599

Matthias R. Gaberdiel, Barton Zwiebach

Publication date: 29 October 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9705038

zbMATH Keywords

spacetimepositivityfirst principlescyclicityhomotopy equivalenceopen string field theoryopen string theoriesBRST operatortwist symmetryalgebraic frameworkBPZ conjugationChan Paton constructioncompatible even bilinear formconserved ghost numberdegree zero cohomologydirect full matrix algebra sumhomotopy associative star algebraodd symplectic structureoff shell equivalenceopen string gauge groupstar conjugationtensor constructions

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of differential geometry to physics (53Z05)

Related Items

Parent field theory and unfolding in BRST first-quantized terms, From the Berkovits formulation to the Witten formulation in open superstring field theory, Resolving witten's superstring field theory, NS-NS sector of closed superstring field theory, String field theory solution for any open string background, Homotopy algebras of differential (super)forms in three and four dimensions, Reality of superstring field theory action, Comments on complete actions for open superstring field theory, Nonlinear gauge invariance and WZW-like action for NS-NS superstring field theory, Relation between the reducibility structures and between the master actions in the Witten formulation and the berkovits formulation of open superstring field theory, Relating Berkovits and \(A_{\infty}\) superstring field theories; small Hilbert space perspective, Open superstring field theory based on the supermoduli space, Worldline quantization of field theory, effective actions and \(L_{\infty}\) structure, Homotopy algebras inspired by classical open-closed string field theory, The diagonal of the operahedra, On the BV formalism of open superstring field theory in the large Hilbert space, Validity of gauge-fixing conditions and the structure of propagators in open superstring field theory, Connecting solutions in open string field theory with singular gauge transformations, Tensor constructions of open string theories. II. Vector bundles, D-branes and orientifold groups, Quantum open-closed homotopy algebra and string field theory, Classical algebraic structures in string theory effective actions, Exceptional groups from open strings, \(A_{\infty}/L_{\infty}\) structure and alternative action for WZW-like superstring field theory, String field theory solution for any open string background. II., Superstring field theory with open and closed strings, Towards massless sector of tensionless strings on \(AdS_5\), Minimal models of field theories: SDYM and SDGR, Bosonic higher spin gravity in any dimension with dynamical two-form, Formal higher spin gravities, Supersymmetric Yang-Mills theory as higher Chern-Simons theory, Frobenius–Chern–Simons gauge theory, New solution of the superstring equation of motion, The diagonal of the associahedra, Closed string cohomology in open string field theory, Solutions from boundary condition changing operators in open string field theory, D-instanton perturbation theory, Open-closed modular operads, the cardy condition and string field theory, Cutkosky rules and unitarity (violation) in D-instanton amplitudes, Closed string deformations in open string field theory. II: Superstring., Comments on real tachyon vacuum solution without square roots, Numerical solution of open string field theory in Schnabl gauge, Tachyon condensation in superstring field theory., Relevant deformations in open string field theory: a simple solution for lumps, Comments on lumps from RG flows, Level truncation analysis of regularized identity based solutions, On the structure of open-closed topological field theory in two dimensions, Solutions from boundary condition changing operators in open superstring field theory, Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories, Exotic universal solutions in cubic superstring field theory, A simple analytic solution for tachyon condensation, Higgs mechanism in nonlocal field theories, Homotopy classification of bosonic string field theory, $L_\infty$ and $A_\infty$ structures: then and now, SFT on separated D-branes and D-brane translation, M(atrix) theory: matrix quantum mechanics as a fundamental theory, D-BRANE CATEGORIES, Oriented open-closed string theory revisited, M-theory five-brane wrapped on curves for exceptional groups, Normalization of D-instanton amplitudes, Normalization of type IIB D-instanton amplitudes, Hyperbolic string vertices, \(A_\infty\)-algebra from supermanifolds, \(A_\infty\) algebras from slightly broken higher spin symmetries, Slightly broken higher spin symmetry: general structure of correlators, Connections between reflected entropies and hyperbolic string vertices, On ghost structure of vacuum superstring field theory, NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS, Homotopy algebra morphism and geometry of classical string field theories, Hybrid models for homological projective duals and noncommutative resolutions, D-instanton induced superpotential, Open-closed homotopy algebra in mathematical physics, On deformations of $A_\infty$ -algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A\({}_{\infty}\)-algebras and the cyclic bar complex
• Geometry of Batalin-Vilkovisky quantization
• Developing the covariant Batalin-Vilkovisky approach to string theory
• A cohomology theory for \(A(m)\)-algebras and applications
• A non-supersymmetric open-string theory and \(S\)-duality
• Tensor constructions of open string theories. II. Vector bundles, D-branes and orientifold groups
• A NOTE ON THE ANTIBRACKET FORMALISM
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Homotopy Associativity of H-Spaces. I
• A proof of local background independence of classical closed string field theory