Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Sergey E. Derkachov"'
Autor:
Sergey E. Derkachov, N. M. Belousov
Publikováno v:
Journal of Mathematical Sciences. 257:450-458
The basic formulas for the unitary principal series representations of the group SL(2, ℂ) are given, and the decomposition of a tensor product of two representations into irreducible representations is considered. A simple proof of the completeness
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::288119db2af2743140d47c631422aa73
https://doi.org/10.1007/s10958-021-05493-1
https://doi.org/10.1007/s10958-021-05493-1
Autor:
Enrico Olivucci, Sergey E. Derkachov
Publikováno v:
Journal of High Energy Physics
Journal of High Energy Physics, Vol 2021, Iss 11, Pp 1-30 (2021)
Journal of High Energy Physics, Vol 2021, Iss 11, Pp 1-30 (2021)
In this paper we consider systems of quantum particles in the $4d$ Euclidean space which enjoy conformal symmetry. The algebraic relations for conformal-invariant combinations of positions and momenta are used to construct a solution of the Yang-Baxt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c601b2d271030391e367ff42204a15a
https://doi.org/10.1007/jhep11(2021)060
https://doi.org/10.1007/jhep11(2021)060
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of variables transform for infinite-dimensional representations of rank
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b16b2aef99a9b465cae60534516b60f
https://doi.org/10.3842/sigma.2021.063
https://doi.org/10.3842/sigma.2021.063
Publikováno v:
Theoretical and Mathematical Physics. 198:29-47
We study 6j-symbols or Racah coefficients for the tensor products of infinite-dimensional unitary principal series representations of the group SL(2, ℂ). Using the Feynman diagram technique, we reproduce the results of Ismagilov in constructing the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d56a659b805436b3a12bb77b624a62e
https://doi.org/10.1134/s0040577919010033
https://doi.org/10.1134/s0040577919010033
Publikováno v:
Annales Henri Poincare
Annales Henri Poincare, 2019, 20 (8), pp.2623-2670. ⟨10.1007/s00023-019-00806-2⟩
Annales Henri Poincaré 20(8), 2623-2670 (2019). doi:10.1007/s00023-019-00806-2
Annales Henri Poincare, 2019, 20 (8), pp.2623-2670. ⟨10.1007/s00023-019-00806-2⟩
Annales Henri Poincaré 20(8), 2623-2670 (2019). doi:10.1007/s00023-019-00806-2
We construct the generalised Eigenfunctions of the entries of the monodromy matrix of the $N$-site modular XXZ magnet and show, in each case, that these form a complete orthogonal system in $L^2(\mathbb{R}^N)$. In particular, we develop a new and sim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b1267c9dce598643a18a379b8bc2dfd
https://hal.archives-ouvertes.fr/hal-01827978
https://hal.archives-ouvertes.fr/hal-01827978
Autor:
Sergey E. Derkachov, Enrico Olivucci
Publikováno v:
Physical Review Letters
We provide the eigenfunctions for a quantum chain of $N$ conformal spins with nearest-neighbor interaction and open boundary conditions in the irreducible representation of $SO(1,5)$ of scaling dimension $\Delta = 2 - i \lambda$ and spin numbers $\el
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8daa2f691bc28c05a6c39f6cc8f9029
Publikováno v:
JHEP
JHEP, 2019, 04, pp.032. ⟨10.1007/JHEP04(2019)032⟩
Journal of High Energy Physics, Vol 2019, Iss 4, Pp 1-32 (2019)
Journal of High Energy Physics
JHEP, 2019, 04, pp.032. ⟨10.1007/JHEP04(2019)032⟩
Journal of High Energy Physics, Vol 2019, Iss 4, Pp 1-32 (2019)
Journal of High Energy Physics
We compute explicitly the two-dimensional version of Basso-Dixon type integrals for the planar four-point correlation functions given by conformal fishnet Feynman graphs. These diagrams are represented by a fragment of a regular square lattice of pow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b9a748607dd704cabf38014c0505d84
https://hal.archives-ouvertes.fr/hal-01953156
https://hal.archives-ouvertes.fr/hal-01953156
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
It was shown recently that many of the Gustafson integrals appear in studies of the SL(2, R) spin chain models. One can hope to obtain a generalization of the Gustafson integrals considering spin chain models with a different symmetry group. In this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a70f9493c4c52752b874d89a04cffda
https://doi.org/10.3842/sigma.2018.030
https://doi.org/10.3842/sigma.2018.030
Publikováno v:
Nuclear Physics B
Scattering amplitudes in maximally supersymmetric gauge theory are dual to super-Wilson loops on null polygonal contours. The operator product expansion for the latter revealed that their dynamics is governed by the evolution of multiparticle GKP exc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a905b1881067c9bdfd0abcb97d4208e
Publikováno v:
Nuclear Physics B. 854:433-465
This paper presents the second part of our study devoted to the construction of Baxter operators for the homogeneous closed XXX spin chain with the quantum space carrying infinite or finite-dimensional $s\ell_2$ representations. We consider the Baxte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac5a8fe45710c1a669cc92bc1f8615e7
https://doi.org/10.1016/j.nuclphysb.2011.08.026
https://doi.org/10.1016/j.nuclphysb.2011.08.026