Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds
Fluid/gravity correspondence, fermionic sectors and its ramifications
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] UNESP Univ Estadual Paulista, Inst Fis Teor, R Dr Bento T Ferraz 271, Bl 2, BR-01140070 Sao Paulo, SP - Brazil
[2] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Ramat Aviv - Israel
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS; v. 66, n. 8-9 AUG-SEP 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
Knotted solutions to electromagnetism are investigated as an independent subsector of the theory. We write down a Lagrangian and a Hamiltonian formulation of Bateman's construction for the knotted electromagnetic solutions. We introduce a general definition of the null condition and generalize the construction of Maxwell's theory to massless free complex scalar, its dual two form field, and to a massless DBI scalar. We set up the framework for quantizing the theory both in a path integral approach, as well as the canonical Dirac method for a constrained system. We make several observations about the semi-classical quantization of systems of null configurations. (AU) | |
| FAPESP's process: | 14/18634-9 - Gauge/Gravity duality |
| Grantee: | Victor de Oliveira Rivelles |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |