1.

Generalized cut operation associated with higher order variation in tensor models
/ Itoyama, H. ; Yoshioka, R.
The cut and join operations play important roles in tensor models in general. [...]
Published in Nuclear Physics B 945 (2019)
10.1016/j.nuclphysb.2019.114681
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2.

Discrete Painlevé system and the double scaling limit of the matrix model for irregular conformal block and gauge theory
/ Itoyama, H. ; Oota, T. ; Yano, Katsuya
We study the partition function of the matrix model of finite size that realizes the irregular conformal block for the case of the N=2 supersymmetric SU(2) gauge theory with Nf=2 . [...]
Published in Physics letters B 789 (2019) 605609
10.1016/j.physletb.2018.10.077
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3.

From Kronecker to tableau pseudocharacters in tensor models
/ Itoyama, H. ; Mironov, A. ; Morozov, A.
We present a brief summary of the recent discovery of direct tensorial analogue of characters. [...]
Published in Physics letters B 788 (2019) 7681
10.1016/j.physletb.2018.11.008
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4.

Cut and join operator ring in tensor models
/ Itoyama, H. ; Mironov, A. ; Morozov, A.
Recent advancement of rainbow tensor models based on their superintegrability (manifesting itself as the existence of an explicit expression for a generic Gaussian correlator) has allowed us to bypass the longstanding problem seen as the lack of eigenvalue/determinant representation needed to establish the KP/Toda integrability. [...]
Published in Nuclear Physics B (2018)
10.1016/j.nuclphysb.2018.05.007
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5.

Ward identities and combinatorics of rainbow tensor models
/ Itoyama, H. ; Mironov, A. ; Morozov, A.
We discuss the notion of renormalization group (RG) completion of nonGaussian Lagrangians and its treatment within the framework of BogoliubovZimmermann theory in application to the matrix and tensor models. [...]
Published in JHEP 1706 (2017) 115
10.1007/JHEP06(2017)115
arXiv:1704.08648
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6.

Rainbow tensor model with enhanced symmetry and extreme melonic dominance
/ Itoyama, H. ; Mironov, A. ; Morozov, A.
We introduce and briefly analyze the rainbow tensor model where all planar diagrams are melonic. [...]
Published in Physics letters B (2017)
10.1016/j.physletb.2017.05.043
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7.

The birth of string theory
/ Itoyama, H.
This is a brief summary of an introductory lecture for students and scholars in general given by the author at the Nambu Memorial Symposium which was held at Osaka City University on 29 September 2015. [...]
Published in PTEP 2016 (2016) 06A103
10.1093/ptep/ptw063
arXiv:1604.03701
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8.

Genus one superGreen function revisited and superstring amplitudes with nonmaximal supersymmetry
/ Itoyama, H. ; Yano, Kohei
We reexamine genus one superGreen functions with general boundary conditions twisted by for directions in the eigenmode expansion and derive expressions as infinite series of hypergeometric functions. [...]
Published in PTEP 2016 (2016) 033B05
10.1093/ptep/ptw019
arXiv:1512.07705
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9.

Developments of theory of effective prepotential from extended Seiberg–Witten system and matrix models
/ Itoyama, H. ; Yoshioka, R.
This is a semipedagogical review of a medium size on the exact determination of and the role played by the low energy effective prepotential in quantum field theory with (broken) extended supersymmetry, which began with the work of Seiberg and Witten in 1994. [...]
Published in PTEP 2015 (2015) 11B103
10.1093/ptep/ptv124
arXiv:1507.00260
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10.

Mass sum rule of the effective action on vacua with broken rigid N=1 supersymmetry
/ Itoyama, H. ; Maru, Nobuhito
We present an extension of the mass sum rule that applies to renormalizable rigid supersymmetric field theories to the case of the N=1 supersymmetric effective action (the gauged nonlinear sigma model) consisting of adjoint scalar superfields and vector superfields possessing a Kähler potential, a set of gauge coupling functions (second prepotential derivatives) and a superpotential, which respectively set their energy scales. [...]
Published in Nuclear Physics B 893 (2015) 332345
10.1016/j.nuclphysb.2015.02.017
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