A Kähler-Chern-Simons theory and quantization of instanton moduli spaces

Nair, V. P.; Schiff, Jeremy

doi:10.1016/0370-2693(90)90624-f

Cited by 85 publications

(98 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally we discuss the global charges arising when the spatial manifold has a boundary, and show that they fulfill, in five dimensions, the WZW 4 algebra found in Ref. [6]. We summarize and conclude in Sec.…”

Section: Introductionmentioning

confidence: 56%

“…This algebra was first obtained in Ref. [6]. In that paper, the role of F 1 ≡ ω was played by a non-dynamical Kähler form while here, it appears as the curvature of the U(1) factor.…”

Section: Global Symmetries and Wzw 4 Algebrasmentioning

confidence: 92%

“…Indeed, a four dimensional analog of the WZW Lagrangian exists [6]. This model is characterized by a symmetry algebra that generalizes the familiar Kac-Moody algebra in two dimensions, and which has been called WZW 4 algebra [6,7]. It is a natural question to see whether this algebra can be obtained from a Chern-Simons theory in five dimensions just as the Kac-Moody algebra is generated from the 2+1 Chern-Simons theory [4] (see also Ref.…”

Section: Global Symmetries and Wzw 4 Algebrasmentioning

confidence: 99%

See 2 more Smart Citations

The dynamical structure of higher dimensional Chern-Simons theory

1996

View full text Add to dashboard Cite

Higher dimensional Chern-Simons theories, even though constructed along the same topological pattern as in 2+1 dimensions, have been shown recently to have generically a non-vanishing number of degrees of freedom. In this paper, we carry out the complete Dirac Hamiltonian analysis (separation of first and second class constraints and calculation of the Dirac bracket) for a group G × U (1). We also study the algebra of surface charges that arise in the presence of boundaries and show that it is isomorphic to the WZW 4 discussed in the literature. Some applications are then considered. It is shown, in particular, that Chern-Simons gravity in dimensions greater than or equal to five has a propagating torsion.

show abstract

Section: Introductionmentioning

confidence: 56%

“…This algebra was first obtained in Ref. [6]. In that paper, the role of F 1 ≡ ω was played by a non-dynamical Kähler form while here, it appears as the curvature of the U(1) factor.…”

Section: Global Symmetries and Wzw 4 Algebrasmentioning

confidence: 92%

Section: Global Symmetries and Wzw 4 Algebrasmentioning

confidence: 99%

See 1 more Smart Citation

The dynamical structure of higher dimensional Chern-Simons theory

1996

View full text Add to dashboard Cite

show abstract

“…Chern-Simons theories is its relation with the W ZW 4 theory proposed in [9], and further developed in [10]. These theories are generalizations of the standard two dimensional W ZW theories.…”

Section: The W Zw 4 Algebramentioning

confidence: 98%

Higher Dimensional Chern-Simons Theories and Topological Black Holes

Bañados¹

2000

Black Holes and the Structure of the Universe

View full text Add to dashboard Cite

show abstract

“…Such a term also arises in the "Kähler Chern-Simons theory" of Nair and Schiff [40,41]. This term breaks the spatial rotational symmetry to…”

Section: Jhep04(2018)040mentioning

confidence: 99%

ADHM and the 4d quantum Hall effect

Barns-Graham

Dorey

Lohitsiri

et al. 2018

J. High Energ. Phys.

View full text Add to dashboard Cite

Yang-Mills instantons are solitonic particles in d = 4 + 1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted to the lowest Landau level. We describe the ground state wavefunctions for both Abelian and non-Abelian quantum Hall states. Although our model is purely bosonic, we show that the excitations of this 4d quantum Hall state are governed by the Nekrasov partition function of a certain five dimensional supersymmetric gauge theory with Chern-Simons term. The partition function can also be interpreted as a variant of the Hilbert series of the instanton moduli space, counting holomorphic sections rather than holomorphic functions.It is known that the Hilbert series of the instanton moduli space can be rewritten using mirror symmetry of 3d gauge theories in terms of Coulomb branch variables. We generalise this approach to include the effect of a five dimensional Chern-Simons term. We demonstrate that the resulting Coulomb branch formula coincides with the corresponding Higgs branch Molien integral which, in turn, reproduces the standard formula for the Nekrasov partition function.

show abstract

A Kähler-Chern-Simons theory and quantization of instanton moduli spaces

Cited by 85 publications

References 40 publications

The dynamical structure of higher dimensional Chern-Simons theory

The dynamical structure of higher dimensional Chern-Simons theory

Higher Dimensional Chern-Simons Theories and Topological Black Holes

ADHM and the 4d quantum Hall effect

Contact Info

Product

Resources

About