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2d gravity stress tensor and the problem of the calculation of the multi-loop amplitudes in the string theory | G. S. Danilov
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4 Nov 1994 | Journal: | Phys. Lett. B342 (1995) 73-78 | Subject: | hep-th | Abstract: | It is shown that the vacuum value of the $2d$ gravity stress tensor in the free field theory is singular in the fundamental region on the complex plane where the genus-$n>1$ Riemann surface are mapped. Because of the above singularity, one can not construct modular invariant multi-loop amplitudes. The discussed singularity is due to the singularity in the vacuum value of the $2d$ gravity field that turns out to be on the genus-$n>1$ Riemann surfaces. | Source: | arXiv, hep-th/9411032 | Services: | Forum | Review | PDF | Favorites |
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