Classical Hamiltonian Reduction On D ( 2 | 1 ; α ) Chern - Simons Gauge Theory and Large N = 4 Superconformal Symmetry
نویسنده
چکیده
3d Chern-Simons gauge theory has a strong connection with 2d CFT and link invariants in knot theory. We impose some constraints on the D(2|1;α) CS theory in the similar context of the hamiltonian reduction of 2d superconformal algebras. There Hilbert states in D(2|1;α) CS theory are partly identified with characters of the large N = 4 SCFT by their transformation properties. e-mail: [email protected], fax: +81 (0)75-753-6804
منابع مشابه
Chern - Simons Gauge Theory and Large N = 4 Superconformal Symmetry
3d Chern-Simons gauge theory has a strong connection with 2d conformal field theory and, especially, link invariants in knot theory. On this conventional correspondence, 2d CFT possesses the same gauge symmetry as original CS theory does. In this paper we impose some constraints on the D(2|1;α) CS gauge theory in the similar context of the hamiltonian reduction of 2d superconformal algebras, an...
متن کاملSuperconformal Chern - Simons Theories and the Squashed Seven Sphere
We show that there are two supersymmetric completions of the three-dimensional Chern-Simons theory of level k with gauge group U(N) × U(N) coupled to four sets of massless scalars and spinors in the bi-fundamental representation, if we require Sp(2) ⊂ SU(4) global symmetry with the matter fields in the fundamental representation of SU(4). One is the N = 6 superconformal theory recently studied ...
متن کاملModuli spaces of Chern-Simons quiver gauge theories
We analyse the classical moduli spaces of supersymmetric vacua of 3d N = 2 Chern-Simons quiver gauge theories. We show quite generally that the moduli space of the 3d theory always contains a baryonic branch of a parent 4d N = 1 quiver gauge theory, where the 4d baryonic branch is determined by the vector of 3d Chern-Simons levels. In particular, starting with a 4d quiver theory dual to a 3-fol...
متن کاملHamiltonian Reduction and Classical Extended Superconformal Algebras
We present a systematic construction of classical extended superconformal algebras from the hamiltonian reduction of a class of affine Lie superalgebras, which include an even subalgebra sl(2). In particular, we obtain the doubly extended N = 4 superconformal algebra Ãγ from the hamiltonian reduction of the exceptional Lie superalgebra D(2|1; γ/(1− γ)). We also find the Miura transformation for...
متن کاملSuperconformal Chern–Simons Theories
A Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry and contains scalar and spinor fields that transform as 4-vectors. We verify that this theory has OSp(8|4) superconformal symmetry and that it is parity conserving despite the fact that it contains a Chern–S...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999