The non-split scalar coset in supergravity theories

2003/10/25 by Nejat T. Yılmaz, Nejat Tevfik Yilmaz · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Compactification (mathematics) #Coset #Cosmology and Gravitation Theories #Geometry #Heterotic string theory #Lie group #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Scalar (mathematics) #String theory #Supergravity #Supersymmetry #Symmetry group #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2003.10.006

published as Nucl.Phys.B675:122-138,2003 · 26 pages

openalex publication_date 2003/10/25 · arxiv created 2004/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The general non-split scalar coset of supergravity theories is discussed.The symmetric space sigma model is studied in two equivalent formulations and for different coset parametrizations.The dualisation and the local first order formulation is performed for the non-split scalar coset G/K when the rigid symmetry group G is a real form of a non-compact semisimple Lie group (not necessarily split) and the local symmetry group K is G's maximal compact subgroup.A comparison with the scalar cosets arising in the T^10-D-compactification of the heterotic string theory in ten dimensions is also mentioned.

Citations

• Supergravity, Brane Dynamics and String Duality
• Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
• Differential Geometry, Lie Groups, and Symmetric Spaces
• The group theory of oxidation II: cosets of non-split groups
• R-R scalars, U-duality and solvable Lie algebras

Cited by

• Remarks on analyticity and unitarity in the presence of a strongly interacting light Higgs
• Decoupling structure of the principal sigma model–Maxwell interactions