Holographic Action for the Self-Dual Field
arXiv:hep-th/0605038
Abstract
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.
75 pages; 18 figures; LaTeX
References in corpus (3)
Cited by in corpus (20)
- Les Houches Lectures on Constructing String Vacua
- Global aspects of the space of 6D N = 1 supergravities
- On p-form gauge theories and their conformal limits
- New string vacua from twistor spaces
- BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
- Fivebrane instantons and Calabi-Yau fourfolds with flux
- Self-interacting chiral p-forms in higher dimensions
- On the topology of the hypermultiplet moduli space in type II/CY string vacua
- Dualities and fivebrane instantons
- Type II Actions from 11-Dimensional Chern-Simons Theories
- Closed String Partition Functions in Toroidal Compactifications of Doubled Geometries
- Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality
- The Spectra of Supersymmetric States in String Theory
- A Note on of Divisors of CY Fourfolds I
- Some comments on 6d global gauge anomalies
- Rigid Calabi-Yau threefolds, Picard Eisenstein series and instantons
- Gravitational interpretation of the Hitchin equations
- Global anomalies and chiral p-forms
- Calabi-Yau compactification of type II string theories
- A Path Integral for the Chiral-Form Partition Function