Freezing of gauge symmetries in the heterotic string on T4

• Autores: Fraiman, Bernardo; Parra De Freitas, Héctor
• Año de publicación: 2022
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: GAUGE SYMMETRY; SUPERSTRING VACUA; SUPERSTRINGS AND HETEROTIC STRINGS
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We derive a map relating the gauge symmetry groups of heterotic strings on T 4 to other components of the moduli space with rank reduction. This generalizes the results for T 2 and T 3 which mirror the singularity freezing mechanism of K3 surfaces in F and Mtheory, respectively. The novel feature in six dimensions is that the map explicitly involves the topology of the gauge groups, in particular acting only on non-simply-connected ones. This relation is equivalent to that of connected components of the moduli space of flat Gbundles over T 2 with G non-simply-connected. These results are verified with a reasonably exhaustive list of gauge groups obtained with a moduli space exploration algorithm.
Fil: Fraiman, Bernardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Parra De Freitas, Héctor. Universite Paris-saclay (universite Paris-saclay);