[PDF] Top 20 Three Dimensional Superconformal Field Theory, Chern Simons Theorv, and Their Correspondence

... Though above analysis from supersymmetric quantum mechanics gives rough idea that the holo- morphic block is expressed as certain finite-dimensional contour integral, as stated earlier this is a perturbative ... See full document

... pure Chern-Simons theory, we have considered only theories with extended supersymmetry, ...the superconformal transformations of the matter fields, and although this form is necessary in ... See full document

... coupled superconformal field theories in three space-time ...many three- dimensional ...(the Chern-Simons level), and a manifest N = 6 ...8 superconformal symmetry ... See full document

... of three-dimensional superconformal eld ...contain three Grassmann-even coordinates in addition to three bosonic and six fermionic ...ABJM theory has dual superconformal ... See full document

... four dimensional Dirac spinors with the fundamental representation of SU ( ) 2 ...In three dimensions it can be used to describe theories with  = 3 supersymmetry [9] ...first Chern class, then the ... See full document

... the Chern-Simons term is composed may be regarded as the q-statistics inducing ...ric Chern-Simons matter theories in the context of the AdS/CFT correspondence (see ...AdS/CFT ... See full document

... string theory. Prominent examples include the AdS/CFT correspondence [8] and mirror ...Gromov-Witten/Donaldson-Thomas correspondence [9, 10, 11, 12], which related (via M-theory) the spaces of ... See full document

... study three classes of N = 6, 8 superconformal Chern-Simons theories that are related to the gauge theory side of the correspondence: the Bagger-Lambert (BL) theories based on 3- ... See full document

... superspace (with real spacetime) using an equivariant formalism with respect to the internal SU (2) symmetry group. In the former approach, all the coordinates appear on an equal footing. This makes the action of the ... See full document

... in general does depend on vortex positions, and, for fixed n and radius, tends to be larger the more evenly vortices are distributed between the North and South poles. A generalization of the MCSH model to compact ... See full document

... The two Seiberg-like dualities can be connected by start- ing with the Aharony duality, adding masses and generating Chern-Simons terms, resulting in the Giveon–Kutasov dual- ity. It is less clear how to ... See full document

... The cases for Calabi-Yau two- and threefolds are well established over the past decade. These are affine complex cones over base complex curves and surfaces, or real cones over real, compact, Sasaki-Einstein three ... See full document

... each field appears exactly twice with opposite ...3+1 dimensional gauge theory for the conifold 3-fold singularity there is a quartic superpotential which vanishes for a single ... See full document

... to Chern–Simons invariants can be recast in the context of quantum groups and modular tensor categories to yield bona fide invariants of links in 3-manifolds [RT90, RT91]; when the ... See full document

... known three-point solution, given in Equations (36) and (35), then we see that since no three-point purely conformal invariant exists, it must be unique once the R charges q of the chiral Greens function ... See full document

... This roadmap article grew out of a fortunate confluence. Recently, one of us organized a workshop at the University of Modena and Reggio Emilia, 1 which was attended by many researchers who have worked on Wilson loops in ... See full document

... 2. Chern-Simons forms associated to a homogeneous pseudo-Riemannian structure. Let (M, g) be a connected C ∞ pseudo-Riemannian manifold of di- mension n and signature (k, n − k). Let ∇ be the Levi-Civita ... See full document

... the field theories of section 2 and section 3 are related by the co-ordinate transformation (3); they describe the same physics in different frames: with respect to an inertial observer using the Minkowski metric, ... See full document

...    c c ,  =    1    c c ,  = i (33) Here the minus sign in the above equation is nontrivial and implies the existence of states with negative norm in the space of state vectors of the theory. The BRST ... See full document

... the Chern–Simons action for A is well defined and with any luck it describes successfully something that we observe in nature, then the kinetic term of the Chern–Simons action for ¯ A will ... See full document