Quantum deformation of cubic string field theory

Abstract

In this paper, we will analyze a quantum deformation of cubic string field theory. This will be done by first constructing a quantum deformation of string theory, in a covariant gauge, and then using the quantum deformed stringy theory to construct a quantum deformation of string field theory. This quantum deformed string field will then be used to contract a quantum deformed version of cubic string field theory. We will explicitly demonstrate that the axioms of cubic string field theory hold even after quantum deformation. Finally, we will analyze the effect of the quantum deformation of string field theory on the string vertices.

15 pages

References in corpus (70)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Review of AdS/CFT Integrability: An Overview
• Tachyon Condensation on the Brane Antibrane System
• Bethe Ansatz for Quantum Strings
• An integrable deformation of the AdS_5 x S^5 superstring action
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Stringy gravity, interacting tensionless strings and massless higher spins
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• On String S-matrix, Bound States and TBA
• Quantum Deformations of the One-Dimensional Hubbard Model
• Generalized quark-antiquark potential at weak and strong coupling
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Infinite spin limit of semiclassical string states
• Physical Significance of q Deformation and Many-Body Interactions in Nuclei
• String theory of the Omega deformation
• Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Noncommutative D-brane and Open String in pp-wave Background with B-field
• Time Lumps in Nonlocal Stringy Models and Cosmological Applications
• Split string field theory II
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• A Proof of Local Background Independence of Classical Closed String Field Theory
• Quasi-Particles, Conformal Field Theory, and $q$-Series
• A Solvable Toy Model for Tachyon Condensation in String Field Theory
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Four Lectures on Closed String Field Theory
• Unitarity of Superstring Field Theory
• E${}_{6(6)}$ Exceptional Drinfel'd Algebras
• String field theory at large B-field and noncommutative geometry
• DDF operators, open string coherent states and their scattering amplitudes
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• Marginally Deformed Rolling Tachyon around the Tachyon Vacuum in Open String Field Theory
• A Relativistic Relative of the Magnon S-Matrix
• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• Background Independence of Closed Superstring Field Theory
• Mapping between Witten and Lightcone String Field Theories
• Analyticity and Crossing Symmetry of Superstring Loop Amplitudes
• $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry
• Yang-Baxter Deformation as an O(d,d) Transformation
• Marginal Deformations and Closed String Couplings in Open String Field Theory
• Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
• An application of the 3-dimensional q-deformed harmonic oscillator to the nuclear shell model
• Operator Formulation of q-Deformed Dual String Model
• A solution to the 4-tachyon off-shell amplitude in cubic string field theory
• Magnon like solutions for strings in I-brane background
• Deformation of the Cubic Open String Field Theory
• Generalized MacMahon G(q) as q-deformed CFT Correlation Function
• Q-colourings of the triangular lattice: Exact exponents and conformal field theory
• Relaxing unimodularity for Yang-Baxter deformed strings
• $q$-Virasoro Algebra and the Point-Splitting
• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• String Scattering Amplitudes and Deformed Cubic String Field Theory
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Closed string deformations in open string field theory I: bosonic string
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• QUANTIZATION OF A $q$-DEFORMED FREE RELATIVISTIC PARTICLE
• New Phenomenon of Nonlinear Regge Trajectory and Quantum Dual String Theory
• Particle Theory at Chicago in Late Sixties and p-Adic Strings
• Closed string deformations in open string field theory III: $\mathcal{N}=2$ worldsheet localization
• Closed string symmetries in open string field theory: tachyon vacuum as sine-square deformation
• Euclidean Quantum Field Formulation of p-Adic open string amplitudes
• Generalized q-Deformed Symplectic sp(4) Algebra for Multi-shell Applications
• Confronting Dual Models of the Strong Interaction
• Inflation in String Field Theory
• On tensionless string field theory in AdS${}_3$
• Off-Shell Amplitudes in Two Dimensional String Field Theory
• On the Algebraic Approach to Solvable Lattice Models