1.

Handling Handles: Nonplanar Integrability in $N=4$ Supersymmetric YangMills Theory
/ Bargheer, Till ; Caetano, João ; Fleury, Thiago ; Komatsu, Shota ; et al
We propose an integrability setup for the computation of correlation functions of gaugeinvariant operators in $N=4$ supersymmetric YangMills theory at higher orders in the large ${N}_{c}$ genus expansion and at any order in the ’t Hooft coupling ${g}_{\mathrm{YM}}^{2}{N}_{c}$. [...]
Published in Physical Review Letters 121 (2018)
10.1103/PhysRevLett.121.231602
arXiv:1711.05326
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2.

Erratum to: Exact correlators on the Wilson loop in N $$ \mathcal{N} $$ = 4 SYM: localization, defect CFT, and integrability
/ Giombi, Simone ; Komatsu, Shota
Typos in the formulae. [...]
Published in JHEP 1811 (2018) 123
10.1007/JHEP11(2018)123
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3.

Exact correlators on the Wilson loop in N = 4 $$ \mathcal{N}=4 $$ SYM: localization, defect CFT, and integrability
/ Giombi, Simone ; Komatsu, Shota
We compute a set of correlation functions of operator insertions on the 1 / 8 BPS Wilson loop in N = 4 $$ \mathcal{N}=4 $$ SYM by employing supersymmetric localization, OPE and the GramSchmidt orthogonalization. [...]
Published in JHEP 1805 (2018) 109
10.1007/JHEP05(2018)109
arXiv:1802.05201
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4.

Hexagonalization of correlation functions II: twoparticle contributions
/ Fleury, Thiago ; Komatsu, Shota
In this work, we compute oneloop planar fivepoint functions in N = 4 $$ \mathcal{N}=4 $$ superYangMills using integrability. [...]
Published in JHEP 1802 (2018) 177
10.1007/JHEP02(2018)177
arXiv:1711.05327
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5.

Erratum to: Classical integrability for threepoint functions: cognate structure at weak and strong couplings
/ Kazama, Yoichi ; Komatsu, Shota ; Nishimura, Takuya
In the equation (7.34) on page 49, the term that contains L i 2 e i p ^ 1 + i p ^ 2 + i p ^ 3 $$ {\mathrm{Li}}_2\left({e}^{i\widehat{p}1}{{}^{+i\widehat{p}2}}^{+i\widehat{p}3}\right) $$ was missing on the first line..
Published in JHEP 1802 (2018) 047
10.1007/JHEP02(2018)047
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6.

Structure constants of defect changing operators on the 1/2 BPS Wilson loop
/ Kim, Minkyoo ; Kiryu, Naoki ; Komatsu, Shota ; Nishimura, Takuya
We study threepoint functions of operators on the 1/2 BPS Wilson loop in planar N $$ \mathcal{N} $$ = 4 super YangMills theory. [...]
Published in JHEP 1712 (2017) 055
10.1007/JHEP12(2017)055
arXiv:1710.07325
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7.

Structure constants at wrapping order
/ Basso, Benjamin ; Gonçalves, Vasco ; Komatsu, Shota
We consider structure constants of single trace operators in planar N = 4 $$ \mathcal{N}=4 $$ SuperYangMills theory within the hexagon framework. [...]
Published in JHEP 1705 (2017) 124
10.1007/JHEP05(2017)124
arXiv:1702.02154
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8.

Hexagonalization of correlation functions
/ Fleury, Thiago ; Komatsu, Shota
We propose a nonperturbative framework to study general correlation functions of singletrace operators in N $$ \mathcal{N} $$ = 4 supersymmetric YangMills theory at large N . [...]
Published in JHEP 1701 (2017) 130
10.1007/JHEP01(2017)130
arXiv:1611.05577
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9.

Classical integrability for threepoint functions: cognate structure at weak and strong couplings
/ Kazama, Yoichi ; Komatsu, Shota ; Nishimura, Takuya
In this paper, we develop a new method of computing threepoint functions in the SU(2) sector of the N = 4 $$ \mathcal{N}=4 $$ super YangMills theory in the semiclassical regime at weak coupling, which closely parallels the strong coupling analysis. [...]
Published in JHEP 1610 (2016) 042
10.1007/JHEP10(2016)042
arXiv:1603.03164
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10.

Gluing hexagons at three loops
/ Basso, Benjamin ; Goncalves, Vasco ; Komatsu, Shota ; Vieira, Pedro
We perform extensive threeloop tests of the hexagon bootstrap approach for structure constants in planar N=4 SYM theory. [...]
Published in Nuclear Physics B (2016)
10.1016/j.nuclphysb.2016.04.020
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