Zobrazeno 1 - 10
of 1 159
pro vyhledávání: '"fusion algebra"'
Autor:
Nagoya, Yuta, Shimamori, Soichiro
We study non-invertible duality symmetries by gauging a diagonal subgroup of a non-anomalous U(1) $\times$ U(1) global symmetry. In particular, we employ the half-space gauging to $c=2$ bosonic torus conformal field theory (CFT) in two dimensions and
Externí odkaz:
http://arxiv.org/abs/2309.05294
Autor:
Yuta Nagoya, Soichiro Shimamori
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 12, Pp 1-32 (2023)
Abstract We study non-invertible duality symmetries by gauging a diagonal subgroup of a non-anomalous U(1)×U(1) global symmetry. In particular, we employ the half-space gauging to c = 2 bosonic torus conformal field theory (CFT) in two dimensions an
Externí odkaz:
https://doaj.org/article/76bdfc457b924ed7aff817034074c3d6
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Autor:
Moradi, Heidar, Wen, Xiao-Gang
Publikováno v:
Phys. Rev. B 91, 075114 (2015)
Recently we conjectured that a certain set of universal topological quantities characterize topological order in any dimension. Those quantities can be extracted from the universal overlap of the ground state wave functions. For systems with gapped b
Externí odkaz:
http://arxiv.org/abs/1404.4618
Autor:
Hung, Ling-Yan, Wan, Yidun
Publikováno v:
Phys. Rev. B 86, 235132 (2012)
We study the Levin-Wen string-net model with a $Z_N$ type fusion algebra. Solutions of the local constraints of this model correspond to $Z_N$ gauge theory and double Chern-simons theories with quantum groups. For the first time, we explicitly constr
Externí odkaz:
http://arxiv.org/abs/1207.6169
Autor:
Rasmussen, Jorgen, Pearce, Paul A.
Publikováno v:
J.Phys.A41:295208,2008
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
Externí odkaz:
http://arxiv.org/abs/0804.4335
Autor:
Rasmussen, Jorgen, Pearce, Paul A.
Publikováno v:
J.Stat.Mech.0709:P09002,2007
We present an explicit conjecture for the chiral fusion algebra of critical percolation considering Virasoro representations with no enlarged or extended symmetry algebra. The representations we take to generate fusion are countably infinite in numbe
Externí odkaz:
http://arxiv.org/abs/0706.2716
Autor:
Ishikawa, Hiroshi, Tani, Taro
Publikováno v:
Nucl.Phys.B739:328-388,2006
The mutual consistency of boundary conditions twisted by an automorphism group G of the chiral algebra is studied for general modular invariants of rational conformal field theories. We show that a consistent set of twisted boundary states associated
Externí odkaz:
http://arxiv.org/abs/hep-th/0510242
Autor:
Rajabpour, M. A., Gliozzi, F.
Publikováno v:
J. Stat. Mech. (2012) P02016
We study the entanglement and Renyi entropies of two disjoint intervals in minimal models of conformal field theory. We use the conformal block expansion and fusion rules of twist fields to define a systematic expansion in the elliptic parameter of t
Externí odkaz:
http://arxiv.org/abs/1112.1225
Autor:
Barkeshli, Maissam, Wen, Xiao-Gang
Publikováno v:
Phys. Rev. B 79, 195132 (2009)
It was recently discovered that fractional quantum Hall (FQH) states can be classified by the way ground state wave functions go to zero when electrons are brought close together. Quasiparticles in the FQH states can be classified in a similar way, b
Externí odkaz:
http://arxiv.org/abs/0807.2789