Conformal Field Theories as Scaling Limit of Anyonic Chains

Local algebras of observables and pointlike localized fields

Fredenhagen, K. and Hertel, J. (1981) · 1981

Earlier work this paper cites.

Projective unitary positive-energy representations of Diff ​ ( S 1 ) \text{Diff}(S^{1})

Goodman, R. and Wallach, N. R. (1985) · 1985

Earlier work this paper cites.

Applied conformal field theory

Ginsparg, P. (1988) · 1988

Earlier work this paper cites.

Quantum field theory and the jones polynomial

Witten, E. (1989) · 1989

Earlier work this paper cites.

Common structures between finite systems and conformal field theories through quantum groups

Pasquier, V. and Saleur, H. (1990) · 1990

Earlier work this paper cites.

On axiomatic approaches to vertex operator algebras and modules

Frenkel, I., Huang, Y.-Z., and Lepowsky, J. (1993) · 1993

Earlier work this paper cites.

Representations of the Virasoro algebra from lattice models

Koo, W. and Saleur, H. (1994) · 1994

Earlier work this paper cites.

Path space decompositions for the Virasoro algebra and its Verma modules

Kaufmann, R. M. (1995) · 1995

Earlier work this paper cites.

Universal quantum simulators

Lloyd, S. (1996) · 1996

Earlier work this paper cites.

Categories of symmetries and infinite-dimensional groups

Neretin, Y. A. (1996) · 1996

Earlier work this paper cites.

Fermionic quantum computation

Bravyi, S. B. and Kitaev, A. Y. (2002) · 2002

Earlier work this paper cites.

Simulation of Topological Field Theories by Quantum Computers

Freedman, M. H., Kitaev, A., and Wang, Z. (2002) · 2002

Earlier work this paper cites.

Critical RSOS and minimal models: fermionic paths, Virasoro algebra and fields

Feverati, G. and Pearce, P. A. (2003) · 2003

Earlier work this paper cites.

Topological quantum computation

Freedman, M., Kitaev, A., Larsen, M., and Wang, Z. (2003) · 2003

Earlier work this paper cites.

In and around the origin of quantum groups

Jones, V. F. (2003) · 2003

Earlier work this paper cites.

Classification of local conformal nets. Case c < 1 c<1

Kawahigashi, Y. and Longo, R. (2004) · 2004

Earlier work this paper cites.

Adiabatic time evolution in spin systems

Murg, V. and Cirac, J. I. (2004) · 2004

Earlier work this paper cites.

A short course on operator semigroups

Engel, K.-J. and Nagel, R. (2006) · 2006

Cited alongside, same era.

Categorification and correlation functions in conformal field theory

Schweigert, C., Fuchs, J., and Runkel, I. (2006) · 2006

Cited alongside, same era.

Towards conformal invariance of 2D lattice models

Smirnov, S. (2007) · 2006

Cited alongside, same era.

Polynomial quantum algorithms for additive approximations of the Potts model and other points of the Tutte plane

Aharonov, D., Arad, I., Eban, E., and Landau, Z. (2007) · 2007

Cited alongside, same era.

Interacting anyons in topological quantum liquids: The golden chain

Feiguin, A., Trebst, S., Ludwig, A. W., Troyer, M., Kitaev, A., Wang, Z., and Freedman, M. H. (2007) · 2007

Cited alongside, same era.

Enlarged symmetry algebras of spin chains, loop models, and S-matrices

Read, N. and Saleur, H. (2007) · 2007

Chiral S ​ U ​ ( 2 ) k SU(2)_{k} currents as local operators in vertex models and spin chains

Bondesan, R., Dubail, J., Faribault, A., and Ikhlef, Y. (2015) · 2015

Later among the works it cites.

From vertex operator algebras to conformal nets and back

Original

Carpi, S., Kawahigashi, Y., Longo, R., and Weiner, M. (2015) · 2015

Later among the works it cites.

The periodic s ​ ℓ ​ ( 2 | 1 ) s\ell(2|1) alternating spin chain and its continuum limit as a bulk logarithmic conformal field theory at c = 0 c=0

Gainutdinov, A., Read, N., Saleur, H., and Vasseur, R. (2015) · 2015

Later among the works it cites.

What is a quantum field theory?

Seiberg, N. (2015) · 2015

Later among the works it cites.

Topological defects on the lattice: I. the Ising model

Aasen, D., Mong, R. S., and Fendley, P. (2016) · 2016

Later among the works it cites.