Zobrazeno 1 - 10
of 858
pro vyhledávání: '"KIKUCHI, KEN"'
Autor:
Kikuchi, Ken
Consider a renormalization group flow preserving a pre-modular fusion category $\mathcal S_1$. If it flows to a rational conformal field theory, the surviving symmetry $\mathcal S_1$ flows to a pre-modular fusion category $\mathcal S_2$ with monoidal
Externí odkaz:
http://arxiv.org/abs/2412.08935
We discuss anyon condensation in mixed-state topological order. The phases were recently conjectured to be classified by pre-modular fusion categories. Just like anyon condensation in pure-state topological order, a bootstrap analysis shows condensab
Externí odkaz:
http://arxiv.org/abs/2406.14320
Autor:
Kikuchi, Ken
We classify connected \'etale algebras $A$'s in multiplicity-free modular fusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le9$. We also identify categories $\mathcal B_A$'s of right $A$-modules. The results have physical applications i
Externí odkaz:
http://arxiv.org/abs/2404.16125
We classify connected \'etale algebras $A$'s in multiplicity-free modular fusion categories (MFCs) $\mathcal{B}$'s at rank six, namely $\text{rank}(\mathcal{B})=6$. There are eight MFCs in total and the result indicates that only $so(5)_2$ has nontri
Externí odkaz:
http://arxiv.org/abs/2402.00403
Autor:
Kikuchi, Ken
We classify connected \'etale algebras in (possibly non-unitary) modular fusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le5$. We also comment on Lagrangian algebra, anyon condensation, and physical applications. Concretely, we prove c
Externí odkaz:
http://arxiv.org/abs/2312.13353
Autor:
Kikuchi, Ken
We classify connected \'etale algebras $A$'s in pre-modular fusion categories $\mathcal B$ with $\text{rank}(\mathcal B)\le3$ including degenerate and non-(pseudo-)unitary ones. We comment on Lagrangian algebras and physical applications to ground st
Externí odkaz:
http://arxiv.org/abs/2311.15631
Autor:
Kikuchi, Ken
We develop a systematic method to classify connected \'etale algebras $A$'s in (possibly degenerate) pre-modular category $\mathcal B$. In particular, we find the category of $A$-modules, $\mathcal B_A$, have ranks bounded from above by $\lfloor\text
Externí odkaz:
http://arxiv.org/abs/2311.00746
Autor:
Kikuchi, Ken
We constrain renormalization group flows from $ABCDE$ type Wess-Zumino-Witten models triggered by adjoint primaries. We propose positive Lagrangian coupling leads to massless flow and negative to massive. In the conformal phase, we prove an interface
Externí odkaz:
http://arxiv.org/abs/2212.13851
Autor:
Nakayama, Yu, Kikuchi, Ken
We investigate the fate of the non-supersymmetric Gross-Neveu-Yukawa fixed point found by Fei et al in $4-\epsilon$ dimensions with a two-component Majorana fermion continued to two dimensions. Assuming that it is a fermionic minimal model which poss
Externí odkaz:
http://arxiv.org/abs/2212.06342
Autor:
Kikuchi, Ken
We axiomatize rational massless renormalization group flow as Kan extension.
Comment: 10 pages + Appendix, 2 diagrams
Comment: 10 pages + Appendix, 2 diagrams
Externí odkaz:
http://arxiv.org/abs/2209.00016