Twist Quantization of String and Hopf Algebraic Symmetry

Abstract

We describe the twist quantization of string worldsheet theory, which unifies the description of quantization and the target space symmetry, based on the twisting of Hopf and module algebras. We formulate a method of decomposing a twist into successive twists to analyze the twisted Hopf and module algebra structure, and apply it to several examples, including finite twisted diffeomorphism and extra treatment for zero modes.

References in corpus (13)

• String Theory and Noncommutative Geometry
• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• A Gravity Theory on Noncommutative Spaces
• Comments on noncommutative gravity
• Twisting all the way: from Classical Mechanics to Quantum Fields
• Construction of $\theta$-Poincaré Algebras and their Invariants on ${\mathcal{M}}_{\theta }$
• Normal ordering and noncommutativity in open bosonic strings
• Normal ordering and boundary conditions in open bosonic strings
• Derivatives and the Role of the Drinfel'd Twist in Noncommutative String Theory
• Normal ordering and non(anti)commutativity in open super strings
• Hopf Algebra Symmetry and String Theory
• Twist Quantization of String and B Field Background
• Normal ordering and boundary conditions for fermionic string coordinates

Cited by in corpus (1)

• Star Products that can not be induced by Drinfel'd Twists