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Duality in Non-Trivially Compactified Heterotic Strings | | M.A.R. Osorio
; M.A. Vazquez-Mozo
; | | Date: |
1 Jul 1992 | | Journal: | Phys.Rev. D47 (1993) 3411-3420 | | Subject: | hep-th | | Abstract: | We study the implications of duality symmetry on the analyticity properties of the partition function as it depends upon the compactification length. In order to obtain non-trivial compactifications, we give a physical prescription to get the Helmholtz free energy for any heterotic string supersymmetric or not. After proving that the free energy is always invariant under the duality transformation $R
ightarrow alpha^{’}/(4R)$ and getting the zero temperature theory whose partition function corresponds to the Helmholtz potential, we show that the self-dual point $R_{0}=sqrt{alpha^{’}}/2$ is a generic singularity as the Hagedorn one. The main difference between these two critical compactification radii is that the term producing the singularity at the self-dual point is finite for any $R
eq R_{0}$. We see that this behavior at $R_{0}$ actually implies a loss of degrees of freedom below that point. | | Source: | arXiv, hep-th/9207002 | | Services: | Forum | Review | PDF | Favorites | |
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