Fetching the paper…

Reading the bibliography…

2021

Ising-like and Fibonacci-Anyons from KZ-equations

Gu, Xia, Haghighat, Babak, Liu, Yihua

Original
PDF
Post on X

Understand

In this work we present solutions to Knizhnik-Zamolodchikov (KZ) equations corresponding to conformal block wavefunctions of non-Abelian Ising- and Fibonacci-Anyons.

We solve these equations around regular singular points in configuration space in terms of hypergeometric functions and derive explicit monodromy representations of the braid group action.
This confirms the correct non-Abelian statistics of the solutions.
One novelty of our approach is that we explicitly keep track of spin basis states and identify conformal blocks uniquely with such states at relevant points in moduli space.

Ising-like and Fibonacci-Anyons from KZ-equations · Around

Built on

V. Knizhnik and A. Zamolodchikov,
1984
Earlier work this paper cites.
D. Arovas, J.R. Schrieffer and F. Wilczek,
1984
Earlier work this paper cites.
M. Matsuda,
1985
Earlier work this paper cites.
E. Witten,
1989
Earlier work this paper cites.
G. Moore and N. Seiberg,
1989
Earlier work this paper cites.
F. Beukers and G. Heckman,
1989
Earlier work this paper cites.
V.V. Schechtman and A.N. Varchenko,
1990
Earlier work this paper cites.
G.W. Moore and N. Read,
1991
Earlier work this paper cites.
E. Witten,
1992
Earlier work this paper cites.
C. Nayak and F. Wilczek,
1996
Earlier work this paper cites.
P.I. Etingof, I.B. Frenkel and A.A. Kirillov,
1998
Earlier work this paper cites.

Similar

D.A. Ivanov,
2001
Cited alongside, same era.
T. Kohno and A.M. Society,
2002
Cited alongside, same era.
M. Noormandipour, Y. Sun and B. Haghighat,
Original
2003
Cited alongside, same era.
P. Etingo, D. Nikshych and V. Ostrik,
2005
Cited alongside, same era.
A. Kitaev,
2006
Cited alongside, same era.
P. Fendley and H. Saleur,
2007
Cited alongside, same era.
E. Ardonne and K. Schoutens,
2007
Cited alongside, same era.

Then

S. Trebst, M. Troyer, Z. Wang and A.W.W. Ludwig,
2008
Later among the works it cites.
C. Nayak, S.H. Simon, A. Stern, M. Freedman and S. Das Sarma,
Original
2008
Later among the works it cites.
H.-C. Zhang, Y.-H. Wu, H.-H. Tu and T. Xiang,
Original
2009
Later among the works it cites.
E. Ardonne and G. Sierra,
Original
2010
Later among the works it cites.
P. Bonderson, V. Gurarie and C. Nayak,
2011
Later among the works it cites.
P. Etingo, S. Gelaki, D. Nikshych and V. Ostrik,
2015

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

C. Nayak, S.H. Simon, A. Stern, M. Freedman and S. Das Sarma,

2008

Cited alongside, same era.

Z. Komargodski, K. Ohmori, K. Roumpedakis and S. Seifnashri,

2008

Cited alongside, same era.

D. Aasen, P. Fendley and R.S.K. Mong,

2008

Cited alongside, same era.

J. Kaidi, Z. Komargodski, K. Ohmori, S. Seifnashri and S.-H. Shao,

Cited in the paper.

Y. Choi, C. Cordova, P.-S. Hsin, H.T. Lam and S.-H. Shao,

Cited in the paper.

Later among the works it cites.

N. Dorey, D. Tong and C. Turner,

2016

Later among the works it cites.

L. Bhardwaj and Y. Tachikawa,

2018

Later among the works it cites.

C.-M. Chang, Y.-H. Lin, S.-H. Shao, Y. Wang and X. Yin,

2019

Later among the works it cites.

J. Kaidi, K. Ohmori and Y. Zheng,

2022

Closest in time.