𝒩 = 4 SYM Quantum Spectral Curve in BFKL Regime

2021 ◽  
pp. 335-367
Author(s):  
Mikhail Alfimov ◽  
Nikolay Gromov ◽  
Vladimir Kazakov
Keyword(s):  
Spectral Curve

scholarly journals Spectral curves are transcendental

2021 ◽  
Vol 111 (1) ◽  
Author(s):  
H. W. Braden
Keyword(s):  
Spectral Curve ◽  
Spectral Curves ◽  
Arithmetic Properties ◽  
A Charge

AbstractSome arithmetic properties of spectral curves are discussed: the spectral curve, for example, of a charge $$n\ge 2$$ n ≥ 2 Euclidean BPS monopole is not defined over $$\overline{\mathbb {Q}}$$ Q ¯ if smooth.

scholarly journals Classical spectral curve of the AdS5 × S5 lambda superstring

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Timothy J. Hollowood ◽  
J. Luis Miramontes ◽  
Dafydd Price
Keyword(s):  
Spectral Curve

Differentiation of Vulnerable Carotid Plaques by Analysis of Calcium Content and Spectral Curve Slope using Gemstone Spectral Imaging

2021 ◽  
Author(s):  
Ze-Xin Fan ◽  
Xiao-Qing Li ◽  
Ting-Ting Yang ◽  
Shao-Jie Yuan ◽  
Tian-Tong Niu ◽  
...  
Keyword(s):  
Atherosclerotic Plaque ◽  
Carotid Plaque ◽  
Spectral Curve ◽  
Plaque Rupture ◽  
Spectral Imaging ◽  
Calcium Content ◽  
Carotid Atherosclerotic Plaque ◽  
Close Link ◽  
Gemstone Spectral Imaging ◽  
Hs Crp

Abstract Growing evidence indicates that vulnerable carotid plaque rupture is an important cause of stroke. However, fewer studies have been conducted to investigate the role of a novel gemstone spectral imaging (GSI) in assessment of vulnerable carotid plaque. In this study, we analyzed GSI data including calcium content of carotid atherosclerotic plaque and spectral curve slope, as well as serum high-sensitivity C-reactive protein (Hs-CRP), monocyte chemotactic protein-1 (MCP-1) levels in patients with carotid atherosclerotic plaque using the GSI-computed tomographic angiography (CTA) and immunoturbidimetry. The patients with unstable plaques demonstrated a significantly lower calcium content and higher spectral curve slope than the stable plaques group. In addition, the patients with unstable plaque showed an increase in Hs-CRP levels and MCP-1 levels compared with the stable plaque and normal controls (NC) group. The alternation in GSI calcium content and spectral curve slope reflects a close link between calcification and plaque instability, while derangement of Hs-CRP and MCP-1 is involved in the formation or development of vulnerable plaques. Taken together, our results strongly support the feasibility of using these serological and newly discovered imaging parameters as multiple potential biomarkers relevant to plaque vulnerability or stroke progression.

Band analysis by spectral curve fitting

1980 ◽  
Vol 23 (4) ◽  
pp. 387-398 ◽  
Author(s):  
C.L. Lin ◽  
J.H. Shaw ◽  
J.G. Calvert
Keyword(s):  
Curve Fitting ◽  
Spectral Curve

scholarly journals Spectral Curve of the Halphen Operator

2016 ◽  
Vol 60 (2) ◽  
pp. 451-460
Author(s):  
Andrey E. Mironov ◽  
Dafeng Zuo
Keyword(s):  
Differential Operator ◽  
Spectral Curve ◽  
Ordinary Differential Operator ◽  
Order Operator ◽  
Third Order ◽  
Image Position

AbstractThe Halphen operator is a third-order operator of the formwhere g ≠ 2 mod(3), where the Weierstrass ℘-function satisfies the equationIn the equianharmonic case, i.e. g2 = 0, the Halphen operator commutes with some ordinary differential operator Ln of order n ≠ 0 mod(3). In this paper we find the spectral curve of the pair L3, Ln.

scholarly journals WHITHAM DEFORMATIONS OF SEIBERG–WITTEN CURVES FOR CLASSICAL GAUGE GROUPS

2000 ◽  
Vol 15 (23) ◽  
pp. 3635-3666 ◽  
Author(s):  
KANEHISA TAKASAKI
Keyword(s):  
Spectral Curve ◽  
Explicit Construction ◽  
Integrable Hierarchy ◽  
Fractional Powers ◽  
Toda System ◽  
Gauge Groups ◽  
Yang Mills

Gorsky et al. presented an explicit construction of Whitham deformations of the Seiberg–Witten curve for the [Formula: see text] SUSY Yang–Mills theory. We extend their result to all classical gauge groups and some other cases such as the spectral curve of the [Formula: see text] affine Toda system. Our construction, too, uses fractional powers of the superpotential W(x) that characterizes the curve. We also consider the u-plane integral of topologically twisted theories on four-dimensional manifolds X with [Formula: see text] in the language of these explicitly constructed Whitham deformations and an integrable hierarchy of the KdV type hidden behind.

Janggunite, a new manganese hydroxide mineral from the Janggun mine, Bonghwa, Korea

1977 ◽  
Vol 41 (320) ◽  
pp. 519-523
Author(s):  
Soo Jin Kim
Keyword(s):  
Manganese Oxide ◽  
Spectral Curve ◽  
Unit Cell ◽  
Chemical Formula ◽  
Orthorhombic Unit Cell ◽  
Manganese Hydroxide ◽  
Reflected Light ◽  
Infra Red ◽  
Brownish Black

SummaryJanggunite occurs as radiating groups of flakes, flower-like aggregates, colloform bands, dendritic or arborescenl masses in the cementation zone of the supergene manganese oxide deposits. The flakes average 0·05 mm. Colour black, lustre dull, streak brownish black to dark brown. Cleavage one direction perfect. H = 23, very fragile. Dmeas = 3·59, Dcalc = 3·58. Under reflected light anisotropic and bireflectant. No internal reflections. Etching reactions: positive - HC1, HNO3, SnCl2, H2O2, H2SO4 + H2O2. Chemical formula, on the basis of O = 14, or ideally . The mineral has an orthorhombic unit cell with a 9·324, b 14·05, c 7·956 Å, Z = 4, a:b:c = 0·663:1:0·566. Important diffraction lines are 9·34(s), 7·09(s), 4·62(m), 4·17(m), 3·547(s), 3·101(s), 2·597(w), 2·469(m), 1·863(w), 1·664(w), 1·525(m), 1·405(m), D.T.A. curve shows the endothermic peaks at 250–370°C and 955°C Infra-red absorption spectral curve shows vibrations at 515 cm−1, 545 cm−1, 1025 cm−1, and 3225 cm−1. The mineral and name have been approved before publication by the Commission on New Minerals and Mineral Names, I.M.A.

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