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Sökning: swepub > Rosengren Hjalmar 1972

  • Resultat 1-10 av 52
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1.
  • Hallnäs, Martin, 1979, et al. (författare)
  • Higher Order Deformed Elliptic Ruijsenaars Operators
  • 2022
  • Ingår i: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 392
  • Tidskriftsartikel (refereegranskat)abstract
    • We present four infinite families of mutually commuting difference operators which include the deformed elliptic Ruijsenaars operators. The trigonometric limit of this kind of operators was previously introduced by Feigin and Silantyev. They provide a quantum mechanical description of two kinds of relativistic quantum mechanical particles which can be identified with particles and anti-particles in an underlying quantum field theory. We give direct proofs of the commutativity of our operators and of some other fundamental properties such as kernel function identities. In particular, we give a rigorous proof of the quantum integrability of the deformed Ruijsenaars model.
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2.
  • Hallnäs, Martin, 1979, et al. (författare)
  • From Kajihara’s transformation formula to deformed Macdonald–Ruijsenaars and Noumi–Sano operators
  • 2022
  • Ingår i: Selecta Mathematica, New Series. - : Springer Science and Business Media LLC. - 1420-9020 .- 1022-1824. ; 28:2
  • Tidskriftsartikel (refereegranskat)abstract
    • Kajihara obtained in 2004 a remarkable transformation formula connecting multiple basic hypergeometric series associated with A-type root systems of different ranks. By specialisations of his formula, we deduce kernel identities for deformed Macdonald–Ruijsenaars (MR) and Noumi–Sano (NS) operators. The deformed MR operators were introduced by Sergeev and Veselov in the first order case and by Feigin and Silantyev in the higher order cases. As applications of our kernel identities, we prove that all of these operators pairwise commute and are simultaneously diagonalised by the super-Macdonald polynomials. We also provide an explicit description of the algebra generated by the deformed MR and/or NS operators by a Harish-Chandra type isomorphism and show that the deformed MR (NS) operators can be viewed as restrictions of inverse limits of ordinary MR (NS) operators.
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3.
  • Björnberg, Jakob, 1983, et al. (författare)
  • Heisenberg models and Schur-Weyl duality
  • 2023
  • Ingår i: Advances in Applied Mathematics. - 0196-8858 .- 1090-2074. ; 151
  • Tidskriftsartikel (refereegranskat)abstract
    • We present a detailed analysis of certain quantum spin systems with inhomogeneous (non-random) mean-field interactions. Examples include, but are not limited to, the interchange-and spin singlet projection interactions on complete bipartite graphs. Using two instances of the representation theoretic framework of Schur-Weyl duality, we can explicitly compute the free energy and other thermodynamic limits in the models we consider. This allows us to describe the phase transition, the ground-state phase diagram, and the expected structure of extremal states. & COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
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4.
  • Cao, Zhineng, et al. (författare)
  • On some double Nahm sums of Zagier
  • 2024
  • Ingår i: Journal of Combinatorial Theory. Series A. - 0097-3165 .- 1096-0899. ; 202
  • Tidskriftsartikel (refereegranskat)abstract
    • Zagier provided eleven conjectural rank two examples for Nahm's problem. All of them have been proved in the literature except for the fifth example, and there is no q-series proof for the tenth example. We prove that the fifth and the tenth examples are in fact equivalent. Then we give a q-series proof for the fifth example, which confirms a recent conjecture of Wang. This also serves as the first q-series proof for the tenth example, whose explicit form was conjectured by Vlasenko and Zwegers in 2011 and whose modularity was proved by Cherednik and Feigin in 2013 via nilpotent double affine Hecke algebras.
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5.
  • Gahramanov, Ilmar, et al. (författare)
  • A new pentagon identity for the tetrahedron index
  • 2013
  • Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; :128
  • Tidskriftsartikel (refereegranskat)abstract
    • Recently Kashaev, Luo and Vartanov, using the reduction from a four-dimensional superconformal index to a three-dimensional partition function, found a pentagon identity for a special combination of hyperbolic Gamma functions. Following their idea we have obtained a new pentagon identity for a certain combination of so-called tetrahedron indices arising from the equality of superconformal indices of dual three-dimensional N=2 supersymmetric theories and give a mathematical proof of it.
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6.
  • Gahramanov, Ilmar, et al. (författare)
  • Basic hypergeometry of supersymmetric dualities
  • 2016
  • Ingår i: Nuclear Physics B. - : Elsevier BV. - 0550-3213. ; 913, s. 747-768
  • Tidskriftsartikel (refereegranskat)abstract
    • © 2016 The Author(s)We introduce several new identities combining basic hypergeometric sums and integrals. Such identities appear in the context of superconformal index computations for three-dimensional supersymmetric dual theories. We give both analytic proofs and physical interpretations of the presented identities.
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7.
  • Gahramanov, I., et al. (författare)
  • Integral pentagon relations for 3d superconformal indices
  • 2016
  • Ingår i: Proceedings of Symposia in Pure Mathematics. - 0082-0717. - 9781470419929 ; 93, s. 167-175
  • Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
    • The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories, one can find new integral identities for basic hypergeometric integrals. Some of these integral identities have the form of the pentagon identity which can be interpreted as the 2-3 Pachner move for triangulated 3-manifolds.
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8.
  • Hormozi, Mahdi, 1980, et al. (författare)
  • Inclusions of Waterman-Shiba spaces into generalized Wiener classes
  • 2014
  • Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 419:1, s. 428-432
  • Tidskriftsartikel (refereegranskat)abstract
    • The characterization of the inclusion of Waterman-Shiba spaces Lambda BV(p) into generalized Wiener classes of functions BV (q; delta) is given. It uses a new and shorter proof and extends an earlier result of U. Goginava.
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  • Resultat 1-10 av 52

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