Fusion and braiding in W-algebra extended conformal theories
نویسندگان
چکیده
منابع مشابه
W-Extended Fusion Algebra of Critical Percolation
Two-dimensional critical percolation is the member LM(2, 3) of the infinite series of Yang-Baxter integrable logarithmic minimal models LM(p, p′). We consider the continuum scaling limit of this lattice model as a ‘rational’ logarithmic conformal field theory with extended W = W2,3 symmetry and use a lattice approach on a strip to study the fundamental fusion rules in this extended picture. We ...
متن کاملFusion in the Extended Verlinde Algebra
The features of a usual conformal field theory were captured by the formalism of a tensor or fusion category. The notion of a Verlinde algebra which arises from a fusion category, the action of a modular group on the algebra, and the Verlinde formula gave us beautiful means to study these theories. Such they were that in [Ki] Kirillov put forth the notion of a G-equivariant fusion category so t...
متن کاملConformal aspects of Palatini approach in Extended Theories of Gravity
Abstract The debate on the physical relevance of conformal transformations can be faced by taking the Palatini approach into account to gravitational theories. We show that conformal transformations are not only a mathematical tool to disentangle gravitational and matter degrees of freedom (passing from the Jordan frame to the Einstein frame) but they acquire a physical meaning considering the ...
متن کاملCurrent Algebra Associated with Logarithmic Conformal Field Theories
We propose a general frame work for deriving the OPEs within a logarithmic conformal field theory (LCFT). This naturally leads to the emergence of a logarithmic partner of the energy momentum tensor within an LCFT, and implies that the current algebra associated with an LCFT is expanded. We derive this algebra for a generic LCFT and discuss some of its implications. We observe that two constant...
متن کاملExtended multiplet structure in Logarithmic Conformal Field Theories
We use the process of quantum hamiltonian reduction of SU(2)k, at rational level k, to study explicitly the correlators of the h1,s fields in the cp,q models. We find from direct calculation of the correlators that we have the possibility of extra, chiral and non-chiral, multiplet structure in the h1,s operators beyond the ‘minimal’ sector. At the level of the vacuum null vector h1,2p−1 = (p − ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1990
ISSN: 0550-3213
DOI: 10.1016/0550-3213(90)90117-v