Holographic Action for the Self-Dual Field
170 citations recorded by the source corpus.
We revisit the construction of self-dual field theory in 4l+2 dimensions using Chern-Simons theory in 4l+3 dimensions, building on the work of Witten. Careful quantization of the Chern-Simons theory reveals all the topological subtleties associated with the self-dual partition function, including the generalization of the choice of spin structure needed to define the theory. We write the partition function for arbitrary torsion background charge, and in the presence of sources. We show how this approach leads to the formulation of an action principle for the self-dual field.
Subfields: Atomic and Molecular Physics, and Optics, Computer Networks and Communications, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4bcc6c539d74b5c8e25c9ab81008d0b8085c6b1e
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In Atomic and Molecular Physics, and Optics
In Computer Networks and Communications
In Statistical and Nonlinear Physics
Citations in the corpus
- Top down approach to 6D SCFTs (2018, background): “The reduction of this action is a bit subtle owing to the 10D self-duality condition, and the most systematic way to read off various properties of this four-form and its reduction to six dimensions involves extension to an 11D spacetime with boundary [104] (see also [92]).”
- Framed BPS states (2010, unknown): “These are free field theories and can be described by a Lagrangian (after certain choices are made [42]).”
- Les Houches Lectures on Constructing String Vacua (2008, unknown): “The quantum field theory framework for such fields was developed in [53].”
- Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory (2008, background): “(7)Such quadratic refinements frequently appear in the precise formulations of self-dual gauge theories [33, 34, 35, 36].”
- Heisenberg groups and noncommutative fluxes (2006, background): “W e have seen thatelectrom agnetic duality isclosely related to Poincar e duality ofdi erentialcohom ology groups.”
- On the Defect Group of a 6D SCFT (2015, background): “This group also determines the obstruction to defining a partition function for the 6D theory [16]—when C is non-trivial, the 6D theory is best thought of as a relative quantum field theory [11, 14, 38–46].”
- Global aspects of the space of 6D N = 1 supergravities (2010, background): “One can construct a partition function, however, along the lines of [14, 15] by coupling the extra (anti-self-dual) tensor fields to an auxillary 3-form gauge potential.”