On 7D TFT and 6D chiral CFT
نویسنده
چکیده
We perform a canonical and BRST analysis of a seven-dimensional Chern-Simons theory on a manifold with boundary. The main result is that the 7D theory induces for consistency a chiral two-form on the 6D boundary. We also comment on similar behaviour in a fivedimensional Chern-Simons theory relevant for N = 4 supersymmetric Yang-Mills theory in four dimensions. email: [email protected]
منابع مشابه
Noncompact Gaugings , Chiral Reduction and Dual Sigma Models in Supergravity
We show that the half-maximal SU (2) gauged supergravity with topological mass term admits coupling of an arbitrary number of n vector multiplets. The chiral circle reduction of the ungauged theory in the dual 2-form formulation gives N = (1, 0) supergravity in 6D coupled to 3p scalars that parametrize the coset SO(p, 3)/SO(p) × SO(3), a dilaton and (p + 3) axions with p ≤ n. Demanding that R-s...
متن کامل7D Randall–Sundrum cosmology, brane–bulk energy exchange and holography
We discuss the cosmological implications and the holographic dual theory of the 7D Randall–Sundrum (RS) gravitational set–up. Adding generic matter in the bulk on the 7D gravity side we study the cosmological evolution inferred by the non vanishing value of the brane–bulk energy exchange parameter. This analysis is achieved in detail for specific assumptions on the internal space evolution, inc...
متن کاملTft Construction of Rcft Correlators Ii: Unoriented World Sheets
A full rational CFT, consistent on all orientable world sheets, can be constructed from the underlying chiral CFT, i.e. a vertex algebra, its representation category C, and the system of chiral blocks, once we select a symmetric special Frobenius algebra A in the category C [I]. Here we show that the construction of [I] can be extended to unoriented world sheets by specifying one additional dat...
متن کاملTft Construction of Rcft Correlators I: Partition Functions
We formulate rational conformal field theory in terms of a symmetric special Frobenius algebra A and its representations. A is an algebra in the modular tensor category of Moore--Seiberg data of the underlying chiral CFT. The multiplication on A corresponds to the OPE of boundary fields for a single boundary condition. General boundary conditions are A-modules, and (generalised) defect lines ar...
متن کاملContrasting roles for domain 4 of VCAM-1 in the regulation of cell adhesion and soluble VCAM-1 binding to integrin alpha4beta1.
Cell adhesion mediated by the interaction between integrin alpha4beta1 and VCAM-1 is important in normal physiologic processes and in inflammatory and autoimmune disease. Numerous studies have mapped the alpha4beta1 binding sites in VCAM-1 that mediate cell adhesion; however, little is known about the regions in VCAM-1 important for regulating soluble binding. In the present study, we demonstra...
متن کامل