1.

Plane partition realization of (web of) W $$ \mathcal{W} $$ algebra minimal models
/ Harada, Koichi ; Matsuo, Yutaka
Recently, Gaiotto and Rapčák (GR) proposed a new family of the vertex operator algebra (VOA) as the symmetry appearing at an intersection of fivebranes to which they refer as Y algebra. [...]
Published in JHEP 1902 (2019) 050
10.1007/JHEP02(2019)050
arXiv:1810.08512
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2.

The Nambu bracket and Mtheory
/ Ho, PeiMing ; Matsuo, Yutaka
Nambu proposed an extension of the dynamical system through the introduction of a new bracket (the Nambu bracket) in 1973. [...]
Published in PTEP 2016 (2016) 06A104
10.1093/ptep/ptw075
arXiv:1603.09534
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3.

Holomorphic field realization of SH c and quantum geometry of quiver gauge theories
/ Bourgine, JeanEmile ; Matsuo, Yutaka ; Zhang, Hong
In the context of 4D/2D dualities, SH c algebra, introduced by Schiffmann and Vasserot, provides a systematic method to analyse the instanton partition functions of N = 2 $$ \mathcal{N}=2 $$ supersymmetricgaugetheories. [...]
Published in JHEP 1604 (2016) 167
10.1007/JHEP04(2016)167
arXiv:1512.02492v2
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4.

Yangian associated with 2D = 1 SCFT
/ Zhu, RuiDong ; Matsuo, Yutaka
Recently, Maulik and Okounkov proposed an integrable lattice model where the degree of freedom at each site is identical to the Hilbert space of the free boson in two dimensions. [...]
Published in PTEP 2015 (2015) 093A01
10.1093/ptep/ptv116
arXiv:1504.04150
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5.

Recursive method for the Nekrasov partition function for classical Lie groups
/ Nakamura, Satoshi ; Okazawa, Futoshi ; Matsuo, Yutaka
The Nekrasov partition function for supersymmetric gauge theories with general Lie groups is, so far, not known in a closed form, while there is a definition in terms of the integral. [...]
Published in PTEP 2015 (2015) 033B01
10.1093/ptep/ptv014
arXiv:1411.4222
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6.

Aspects of effective theory for multiple M5branes compactified on circle
/ Ho, PeiMing ; Matsuo, Yutaka
A supersymmetric nonAbelian selfdual gauge theory with the explicit introduction of KaluzaKlein modes is proposed to give a classical description of multiple M5branes on ℝ 5 × S 1 $$ {\mathbb{R}}^5\times {S}^1 $$ . [...]
Published in JHEP 1412 (2014) 154
10.1007/JHEP12(2014)154
arXiv:1409.4060
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7.

Construction of Gaiotto states with fundamental multiplets through degenerate DAHA
/ Yutaka Matsuo ; Chaiho Rim ; Hong Zhang
We construct Gaiotto states with fundamental multiplets in SU( N ) gauge theories, in terms of the orthonormal basis of spherical degenerate double affine Hecke algebra (SH in short), the representations of which are equivalent to those of W n algebra with additional U(1) current. [...]
Published in JHEP 1409 (2014) 028
10.1007/JHEP09(2014)028
arXiv:1405.3141
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8.

Partition function of a chiral boson on a 2torus from the FloreaniniJackiw Lagrangian
/ Chen, WeiMing ; Ho, PeiMing ; Kao, Hsienchung ; Khoo, Fech Scen ; et al
We revisit the problem of quantizing a chiral boson on a torus. [...]
Published in PTEP 2014 (2014) 033B02
10.1093/ptep/ptu021
arXiv:1307.2172
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