Quantum Background Independence In String Theory

Details Quantum Background Independence In String Theory Quantum Background Independence In String Theory

1993-06-23

arxiv.org/abs/hep-th/9306122v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pp

Scientific paper

Not only in physical string theories, but also in some highly simplified situations, background independence has been difficult to understand. It is argued that the ``holomorphic anomaly'' of Bershadsky, Cecotti, Ooguri, and Vafa gives a fundamental explanation of some of the problems. Moreover, their anomaly equation can be interpreted in terms of a rather peculiar quantum version of background independence: in systems afflicted by the anomaly, background independence does not hold order by order in perturbation theory, but the exact partition function as a function of the coupling constants has a background independent interpretation as a state in an auxiliary quantum Hilbert space. The significance of this auxiliary space is otherwise unknown.

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