Standard

Wilson loop invariants from WN conformal blocks. / Alekseev, Oleg; Novaes, Fábio.

в: Nuclear Physics B, Том 901, 01.12.2015, стр. 461-479.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Alekseev, O & Novaes, F 2015, 'Wilson loop invariants from WN conformal blocks', Nuclear Physics B, Том. 901, стр. 461-479. https://doi.org/10.1016/j.nuclphysb.2015.11.002

APA

Alekseev, O., & Novaes, F. (2015). Wilson loop invariants from WN conformal blocks. Nuclear Physics B, 901, 461-479. https://doi.org/10.1016/j.nuclphysb.2015.11.002

Vancouver

Alekseev O, Novaes F. Wilson loop invariants from WN conformal blocks. Nuclear Physics B. 2015 Дек. 1;901:461-479. https://doi.org/10.1016/j.nuclphysb.2015.11.002

Author

Alekseev, Oleg ; Novaes, Fábio. / Wilson loop invariants from WN conformal blocks. в: Nuclear Physics B. 2015 ; Том 901. стр. 461-479.

BibTeX

@article{57860303eeba4f1593f5021c3b6f8337,
title = "Wilson loop invariants from WN conformal blocks",
abstract = "Knot and link polynomials are topological invariants calculated from the expectation value of loop operators in topological field theories. In 3D Chern-Simons theory, these invariants can be found from crossing and braiding matrices of four-point conformal blocks of the boundary 2D CFT. We calculate crossing and braiding matrices for WN conformal blocks with one component in the fundamental representation and another component in a rectangular representation of SU(N), which can be used to obtain HOMFLY knot and link invariants for these cases. We also discuss how our approach can be generalized to invariants in higher-representations of WN algebra.",
author = "Oleg Alekseev and F{\'a}bio Novaes",
year = "2015",
month = dec,
day = "1",
doi = "10.1016/j.nuclphysb.2015.11.002",
language = "English",
volume = "901",
pages = "461--479",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Wilson loop invariants from WN conformal blocks

AU - Alekseev, Oleg

AU - Novaes, Fábio

PY - 2015/12/1

Y1 - 2015/12/1

N2 - Knot and link polynomials are topological invariants calculated from the expectation value of loop operators in topological field theories. In 3D Chern-Simons theory, these invariants can be found from crossing and braiding matrices of four-point conformal blocks of the boundary 2D CFT. We calculate crossing and braiding matrices for WN conformal blocks with one component in the fundamental representation and another component in a rectangular representation of SU(N), which can be used to obtain HOMFLY knot and link invariants for these cases. We also discuss how our approach can be generalized to invariants in higher-representations of WN algebra.

AB - Knot and link polynomials are topological invariants calculated from the expectation value of loop operators in topological field theories. In 3D Chern-Simons theory, these invariants can be found from crossing and braiding matrices of four-point conformal blocks of the boundary 2D CFT. We calculate crossing and braiding matrices for WN conformal blocks with one component in the fundamental representation and another component in a rectangular representation of SU(N), which can be used to obtain HOMFLY knot and link invariants for these cases. We also discuss how our approach can be generalized to invariants in higher-representations of WN algebra.

UR - http://www.scopus.com/inward/record.url?scp=84946593825&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2015.11.002

DO - 10.1016/j.nuclphysb.2015.11.002

M3 - Article

AN - SCOPUS:84946593825

VL - 901

SP - 461

EP - 479

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -

ID: 36351898