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On current algebras, generalised fluxes and non-geometry
- Publication Year :
- 2019
- Publisher :
- arXiv, 2019.
-
Abstract
- A Hamiltonian formulation of the classical world-sheet theory in a generic, geometric or non-geometric, NSNS background is proposed. The essence of this formulation is a deformed current algebra, which is solely characterised by the generalised fluxes describing such a background. The construction extends to backgrounds for which there is no Lagrangian description -- namely magnetically charged backgrounds or those violating the strong constraint of double field theory -- at the cost of violating the Jacobi identity of the current algebra. The known non-commutative and non-associative interpretation of non-geometric flux backgrounds is reproduced by means of the deformed current algebra. Furthermore, the provided framework is used to suggest a generalisation of Poisson-Lie $T$-duality to generic models with constant generalised fluxes. As a side note, the relation between Lie and Courant algebroid structures of the string current algebra is clarified.<br />Comment: 49 pages, v2: typos corrected, references added, new result showing the connection of strong constraint and associativity of current algebra in sections 4.3 and 5.2
- Subjects :
- Statistics and Probability
Jacobi identity
Physics
High Energy Physics - Theory
010308 nuclear & particles physics
Current algebra
General Physics and Astronomy
FOS: Physical sciences
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
01 natural sciences
Courant algebroid
symbols.namesake
Theoretical physics
High Energy Physics - Theory (hep-th)
Modeling and Simulation
0103 physical sciences
symbols
010306 general physics
Hamiltonian (quantum mechanics)
Lagrangian
Mathematical Physics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....3711b6d078f20302b958fd31543b189c
- Full Text :
- https://doi.org/10.48550/arxiv.1910.00029