Duality in nontrivially compactified heterotic strings

Journal Article · Thu Apr 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.3411· OSTI ID:6655990

Osorio, M A.R.; Vazquez-Mozo, M A ^[1]

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1. Departamento de Fisica Teorica C-XI, Universidad Autonoma de Madrid, 28049 Madrid (Spain)

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 [ital R][r arrow][alpha][prime]/(2[ital R]) and getting the zero-temperature theory whose partition function corresponds to the Helmholtz potential, we show that the self-dual point [ital R][sub 0]= [radical][alpha][prime]/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 [ital R][ne][ital R][sub 0]. We see that this behavior at [ital R][sub 0] actually implies a loss of degrees of freedom below that point.

• OSTI ID: 6655990
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 47:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STRING MODELS
DUALITY
PARTITION FUNCTIONS
FREE ENERGY
SPACE-TIME
SUPERSYMMETRY
COMPOSITE MODELS
ENERGY
EXTENDED PARTICLE MODEL
FUNCTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUARK MODEL
SYMMETRY
THERMODYNAMIC PROPERTIES
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)