Year: 1993
Type: article
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 nontrivial 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\ensuremath{\rightarrow}\ensuremath{\alpha}'/(2R) and getting the zero-temperature theory whose partition function corresponds to the Helmholtz potential, we show that the self-dual point ${\mathit{R}}_{0}$= \ensuremath{\surd}\ensuremath{\alpha}'/2 is a generic singularity like 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\ensuremath{\ne}${\mathit{R}}_{0}$. We see that this behavior at ${\mathit{R}}_{0}$ actually implies a loss of degrees of freedom below that point.
Authors: M. A. R. Osorio, M. A. Vázquez-Mozo
Institution: Universidad Autónoma de Madrid
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1990994699