2018•arXiv (Cornell University)Open access

Continuous Virasoro algebra in open string field theory

Syoji Zeze

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Abstract

It is known that the Takahashi--Tanimoto identity-based solution in open string field theory derives a kinetic operator which is a sum of twisted Virasoro generators. Applying the infinite circumstance description of conformal field theory, we derive continuous Virasoro algebra associated with the kinetic operator. Mode expansions of Virasoro generators and the modified BRST charge are given.

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It is known that the Takahashi--Tanimoto identity-based solution in open string field theory derives a kinetic operator which is a sum of twisted Virasoro generators. Applying the infinite circumstance description of conformal field theory, we derive continuous Virasoro algebra associated with the kinetic operator. Mode expansions of Virasoro generators and the modified BRST charge are given.

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Available abstract

It is known that the Takahashi--Tanimoto identity-based solution in open string field theory derives a kinetic operator which is a sum of twisted Virasoro generators. Applying the infinite circumstance description of conformal field theory, we derive continuous Virasoro algebra associated with the kinetic operator. Mode expansions of Virasoro generators and the modified BRST charge are given.

Key concepts: Virasoro algebra, N = 2 superconformal algebra, Primary field, Conformal field theory, BRST quantization, Central charge, Conformal map, Operator (biology)

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