Pramana | |
DeWitt–Virasoro construction | |
Partha Mukhopadhyay11  | |
[1] The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India$$ | |
关键词: Quantum mechanics in curved space; non-linear sigma model; Virasoro algebra.; | |
DOI : | |
学科分类:物理(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
We study a particular approach for analysing worldsheet conformal invariance for bosonic string propagating in a curved background using Hamiltonian formalism. We work in the Schrödinger picture of a single-particle description of the problem where the particle moves in an inï¬nite-dimensional space. Background independence is maintained in this approach by adopting DeWitt’s (Phys. Rev. 85, 653–661, 1952) coordinate-independent formulation of quantum mechanics. This enables us to construct certain background-independent notion of Virasoro generators, called DeWitt–Virasoro (DWV) generators, and invariant matrix elements of an arbitrary operator constructed out of them in spin-zero representation. We show that the DWV algebra is given by the Witt algebra with additional anomalous terms that vanish for Ricci-flat backgrounds. The actual quantum Virasoro generators should be obtained by ï¬rst introducing the vacuum state and then normal ordering the DWV generators with respect to that. We demonstrate the procedure in flat and pp-wave backgrounds.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040498245ZK.pdf | 195KB | download |