Advanced search    

Search: authors:"Hiroaki Kanno"

6 papers found.
Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

The MacMahon R-matrix

Abstract We introduce an R-matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra \( {U}_{q,t}\left({\widehat{\widehat{\mathfrak{gl}}}}_1\right) \). This R-matrix acts on pairs of 3d Young diagrams and retains the nice symmetry of the DIM algebra under the permutation of three deformation parameters q, t−1 and \( \frac{t}{q} \). We...

Equivariant U(N) Verlinde algebra from Bethe/gauge correspondence

Abstract We compute the topological partition function (twisted index) of \( \mathcal{N} \) = 2 U(N) Chern-Simons theory with an adjoint chiral multiplet on Σg × S1. The localization technique shows that the underlying Frobenius algebra is the equivariant Verlinde algebra which is obtained from the canonical quantization of the complex Chern-Simons theory regularized by U(1...

Clinical and Genetic Features of Tubulointerstitial Nephritis and Uveitis Syndrome with Long-Term Follow-Up

; Published 16 April 2018 Academic Editor: Anna Nowinska Copyright © 2018 Hiroaki Kanno et al. This is an open access article distributed under the Creative Commons Attribution License, which permits

Explicit examples of DIM constraints for network matrix models

Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This lifting is especially simple for what we call balanced networks. Then, the Ward identities (known under the names of Virasoro/\( \mathcal{W} \)-constraints...

Toric Calabi-Yau threefolds as quantum integrable systems. \( \mathrm{\mathcal{R}} \) -matrix and \( \mathrm{\mathcal{R}}\mathcal{T}\mathcal{T} \) relations

Abstract \( \mathrm{\mathcal{R}} \)-matrix is explicitly constructed for simplest representations of the Ding-Iohara-Miki algebra. Calculation is straightforward and significantly simpler than the one through the universal \( \mathrm{\mathcal{R}} \)-matrix used for a similar calculation in the Yangian case by A. Smirnov but less general. We investigate the interplay between the...

One-Loop Path Integral of the Open Superstring*)

We formulate the path integral description of the open superstring in which both orientable and nonorientable surfaces are taken into account. The vacuum energy is evaluated at the one-loop and by an invariance argument it is shown to vanish for the annulus and Möbius strip.