Non-simply laced Lie algebras via F theory strings

In order to describe the appearance in F theory of the non-simply-laced Lie algebras, we use the representation of symmetry enhancements by means of string junctions. After an introduction to the techniques used to describe symmetry enhancement, that is algebraic geometry, BPS states analysis and st...

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Bibliographic Details
Published in:The journal of high energy physics 2010-11, Vol.2010 (11), Article 25
Main Authors: Bonora, L., Savelli, R.
Format: Article
Language:English
Subjects:
Algebra
Classical and Quantum Gravitation
Elementary Particles
Folding
High energy physics
Lie groups
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Strings
Symmetry
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Summary:In order to describe the appearance in F theory of the non-simply-laced Lie algebras, we use the representation of symmetry enhancements by means of string junctions. After an introduction to the techniques used to describe symmetry enhancement, that is algebraic geometry, BPS states analysis and string junctions, we concentrate on the latter. We give an explicit description of the folding of D 2n to B n , of the folding of E 6 to F 4 and that of D 4 to G 2 in terms of junctions and Jordan strings. We also discuss the case of C n , but we are unable in this case to provide a string interpretation.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2010)025