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Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
[article]
2019
arXiv
pre-print
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We study the large N 't Hooft expansion of the chiral partition function of 2d U(N) Yang-Mills theory on a torus. ...
In this paper we focus on the case where the target space is a torus T 2 . ...
Our construction is based on the chiral boson interpretation of the 2d Yang-Mills theory on a torus. ...
arXiv:1903.10510v1
fatcat:3bhn6kzmibf3xm7cynjgibvfua
Vacuum Energies of String Compactified on Torus
1987
Progress of theoretical physics
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For one-dimensional torus, the affine Kac-Moody algebra for 5U(2) x 5U(2) is realized at the absolute minimum of the vacuum energy. ...
For general r-dimensional torus, the algebra for [5 U (2) x 5 U (2) 1 r is found to be an unstable saddle point. A detailed study of r=2 case shows that 5U(3) x 5U(3) has the lowest vacuum energy. ...
Sakai and 1. ...
doi:10.1143/ptp.77.773
fatcat:5ipjguc2cbduvlbxhdwu6qhqlm
Vacuum Energies of String Compactified on Torus
1986
Progress of theoretical physics
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For one-dimensional torus, the affine Kac-Moody algebra for 5U(2) x 5U(2) is realized at the absolute minimum of the vacuum energy. ...
For general r-dimensional torus, the algebra for [5 U (2) x 5 U (2) 1 r is found to be an unstable saddle point. A detailed study of r=2 case shows that 5U(3) x 5U(3) has the lowest vacuum energy. ...
Sakai and 1. ...
doi:10.1143/ptp.75.692
fatcat:op63p5ahzzf2ti55lwdxfiuhsi
The Editorial Preface
2021
Applied Magnetic Resonance
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Sakai, and M. Matsumoto. ...
Sakai, EPR theories for selection rules to observe the spin gap. Original paper: M. ...
doi:10.1007/s00723-021-01329-y
fatcat:ivwa7flo7valfk22ys5buingnq
Enhanced Transverse-Flux Motor with Torus Coils
2015
IEEJ Journal of Industry Applications
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The rotor comprises radially magnetized permanent magnets, and the stator comprises torus coils and axial 9-shaped cores. ...
Thus, to obtain a motor at low cost with high reliability, we investigated a transverse-flux motor (TFM) containing a torus coil. ...
In this study, our proposed machine can arrange twice the number of separated stator cores as conventional TFMs by using a 9-shaped core a) Correspondence to: Kazuto Sakai. ...
doi:10.1541/ieejjia.4.418
fatcat:4ci2ust23zb5tfacqacl377ktm
Resurgence analysis of 2d Yang-Mills theory on a torus
2018
Journal of High Energy Physics
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We study the large N 't Hooft expansion of the partition function of 2d U(N) Yang-Mills theory on a torus. ...
(B.2) 2. 1 1 Partition function of Yang-Mills on T 2Let us first review the partition function of 2d Yang-Mills on a torus and its connection to topological string. ...
As discussed in [1] , this expectation is realized in a concrete example of the equality between the partition function Z N of 2d U(N ) Yang-Mills theory on a torus and that of four dimensional BPS black ...
doi:10.1007/jhep08(2018)065
fatcat:qv5fa7zwvbfvzmpjh4ig5l5nue
Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
2019
Journal of High Energy Physics
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We study the large N 't Hooft expansion of the chiral partition function of 2d U(N ) Yang-Mills theory on a torus. ...
In this paper we focus on the case where the target space is a torus T 2 . The genus expansion of the partition function of 2d U(N ) Yang-Mills theory on a torus has been studied in detail [8, 24] . ...
Our construction is based on the chiral boson interpretation of the 2d Yang-Mills theory on a torus. ...
doi:10.1007/jhep08(2019)025
fatcat:sqxdn5osvfgj3gqvhea6rks7jy
Magnetization Plateau of the Distorted Diamond Spin Chain
[article]
2019
arXiv
pre-print
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The frustrated quantum spin system on the distorted diamond chain lattice is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. In the previous work this system was revealed to exhibit the 1/3 magnetization plateau due to two different mechanisms depending on the coupling parameters, and the phase diagram at the 1/3 magnetization was obtained. In the present work it is found that the 1/3 magnetization plateau vanishes for sufficiently
arXiv:1910.02585v1
fatcat:eocxg53rfbag3afgpox2cm5tmy
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... rge XY-like coupling anisotropy. The phase diagram based on the level spectroscopy analysis is also presented.
Quantum Phase Transition of the Twisted Spin Tube
[article]
2019
arXiv
pre-print
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The S=1/2 twisted three-leg spin tube with the lattice distortion from the regular triangle to the isosceles one is investigated using the numerical diagonalization of finite-size clusters and the phenomenological renormalization group analysis. It is found that the quantum phase transition occurs from the spin gap phase to another one with respect to this lattice distortion.
arXiv:1910.02587v1
fatcat:moog6hbclnfyjaba22q5tqkyg4
Spin Nematic Liquids of the S=1 Spin Ladder in Magnetic Field
[article]
2019
arXiv
pre-print
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Sakai and M. Takahashi, Phys. Rev. B 43, 13383 (1991). 6 T. Sakai and M. Takahashi, J. Phys. Soc. Jpn. 60, 3615 (1991). ...
Sakai, S. Jonas, C. Broholm, H. Tsunetsugu, Y. Qiu and Y. Maeno, Science 309, 1697 (2005). 3 R. Yamanokuchi, K. Okamoto and T. ...
arXiv:1910.02582v1
fatcat:yzmyvzggijfvloe3epsdu3p5ya
Quantum Phase Transitions of the Distorted Diamond Spin Chain
[article]
2019
arXiv
pre-print
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The frustrated quantum spin system on the distorted diamond chain lattice suitable for the alumoklyuchevskite is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. It is found that this model exhibits three quantum phases; the ferrimagnetic phase, the spin gap one, and the gapless Tomonaga-Luttinger liquid depending on the exchange coupling parameters. The ground state phase diagram is presented.
arXiv:1911.06539v1
fatcat:fj7hkmmexfakhimemkec3lbqny
Integral Geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in S^2 times S^2
[article]
2003
arXiv
pre-print
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Let L := S 1 × S 1 be a totally geodesic Lagrangian torus in (S 2 ×S 2 , ω 0 ⊕ω 0 ), where ω 0 denotes the standard Kähler form of S 2 (1) ∼ = CP 1 . ...
Hence we can define the isotropy invariant by a coordinate of a maximal torus. We denote by g ′ and k ′ the Lie algebra of G ′ and K ′ , respectively. ...
arXiv:math/0310432v2
fatcat:dg6y3i7mlrdozkdn635lpwkg2y
Novel Quantum Phase Transition in the Frustrated Spin Nanotube
2015
Physics Procedia
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The S=1/2 three-leg quantum spin tube is investigated using the numerical diagonalization. The study indicated a new quantum phase transition between the 1/3 magnetization plateau phase and the plateauless one, with respect to the spin anisotropy. The phase diagram is also presented.
doi:10.1016/j.phpro.2015.12.200
fatcat:c4trbd7wsbgbho3nepgacxuaru
Nuclear expression of claudin‑3 in human colorectal adenocarcinoma cell lines and tissues
2017
Oncology Letters
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Claudins are members of a large family of transmembrane proteins, which are essential for the formation of tight junctions and have a significant effect on the biological behavior of tumor progression. Previous studies have demonstrated that several claudins show aberrant expression patterns in numerous types of cancer. The present study investigated the expression and localization of claudin-3 and claudin-7 in human colorectal adenocarcinoma cell lines and tissues. The protein expression
doi:10.3892/ol.2017.7281
pmid:29285188
pmcid:PMC5738677
fatcat:bekzo5hrkndjhiwit3ixtz5c4m
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... of claudin-3 and claudin-7 were determined using immunocytochemical and immunohistochemical staining. Claudin-3, but not claudin-7, exhibited nuclear localization in the human colorectal adenocarcinoma Caco-2 and SW620 cell lines. Surgically resected colorectal adenocarcinoma tissue specimens were obtained, and the associations between the expression of claudin-3 or claudin-7 and various clinicopathological parameters were analyzed. The membranous expression rates of claudin-3 and claudin-7 were 58.0 and 50.0%, while their nuclear expression rates were 22.0 and 2.0%, respectively. The membranous expression of claudin-3 and claudin-7 was not associated with any clinicopathological factors, whereas the nuclear expression of claudin-3 was associated with histological type and was significantly increased in colorectal mucinous adenocarcinomas compared with that in well-to moderately-differentiated colorectal adenocarcinomas (P<0.01). However, no associations were observed between the nuclear expression of claudin-7 and any clinicopathological parameter. In conclusion, the nuclear expression of claudin-3 in colorectal mucinous adenocarcinoma may be involved in the biological transformation of tumors. The results from the present study indicated that claudin-3 is an important protein associated with histological type and has potential as a prognostic marker. Although the mechanisms underlying the nuclear localization of claudin-3 in tumorigenesis have not yet been elucidated in detail, the present results indicated the potential of claudin-3 as a histopathological biomarker for colorectal adenocarcinomas.
Resection of Pulmonary Metastasis of Non-small Cell Lung Cancer
2009
Journal of Thoracic Oncology
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Management of pulmonary metastasis of non-small cell lung cancer (NSCLC) remains controversial. We reviewed our surgical treatment for pulmonary metastasis of NSCLC. Methods: Seventy-six patients with pulmonary metastasis of NSCLC underwent pulmonary resections in two institutes during the past 10 years. Eighteen patients with simultaneous same lobe metastasis as the primary lesion underwent mostly lobectomies. Sixteen patients with simultaneous different lobe metastasis underwent combined
doi:10.1097/jto.0b013e3181949c6a
pmid:19179897
fatcat:6vii7xjw7jdg3f6atnhxnwxvia
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... n-free resections. Forty-nine pulmonary metastasectomies were performed in 42 patients with recurrent lung cancer. Overall survival and disease-free survival in each group were examined, and factors affecting survivals were investigated. Results: In the patients with the same lobe metastasis 5-year survival was 79.6%, and median and 5-year disease-free survivals were 39.1 months and 41.3%. In the patients with simultaneous different lobe metastasis median survival and 5-year survival were 37.7 months and 30.7%, and median and 5-year disease-free survivals were 13.3 months and 12.5%, respectively. Multiple pulmonary metastasis and mediastinal node metastasis were identified as significant factors affecting survivals. In the patients with recurrent pulmonary metastasis median survival and 5-year survival were 40.0 months and 34.8%, and median and 5-year disease-free survivals were 23.7 months and 14.4%, respectively. Node metastasis, higher age, and shorter interval from the prior resection were identified as significant factors affecting survivals. Conclusions: These findings suggest that the simultaneous same lobe metastasis is under the same indication for the primary lesion, and that the simultaneous different lobe metastasis and recurrent pulmonary metastasis should be removed in selected patients.
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