CHAPTER 8. Spectral Radii and the Conformal Structure

1988 ◽  
pp. 64-69
Keyword(s):  
Conformal Structure

Light-absorption enhancement design of ultrathin perovskite solar cells with conformal structure

2018 ◽  
Vol 51 (24) ◽  
pp. 245101 ◽  
Author(s):  
Xinyu Tan ◽  
Lei Sun ◽  
Can Deng ◽  
Yiteng Tu ◽  
Guangming Shen ◽  
...  
Keyword(s):  
Solar Cells ◽  
Light Absorption ◽  
Perovskite Solar Cells ◽  
Conformal Structure ◽  
Absorption Enhancement

scholarly journals Local Conformal Structure of Liouville Quantum Gravity

2018 ◽  
Vol 371 (3) ◽  
pp. 1005-1069 ◽  
Author(s):  
Antti Kupiainen ◽  
Rémi Rhodes ◽  
Vincent Vargas
Keyword(s):  
Quantum Gravity ◽  
Conformal Structure

scholarly journals Second-order PDEs in four dimensions with half-flat conformal structure

2020 ◽  
Vol 476 (2233) ◽  
pp. 20190642
Author(s):  
S. Berjawi ◽  
E. V. Ferapontov ◽  
B. Kruglikov ◽  
V. Novikov
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Lax Pair ◽  
Conformal Structure ◽  
Second Order ◽  
Partial Differential ◽  
Characteristic Variety ◽  
Four Dimensions ◽  
Partial Classification ◽  
Monge Ampere

We study second-order partial differential equations (PDEs) in four dimensions for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solution. We prove that this requirement implies the Monge–Ampère property. Since half-flatness of the conformal structure is equivalent to the existence of a non-trivial dispersionless Lax pair, our result explains the observation that all known scalar second-order integrable dispersionless PDEs in dimensions four and higher are of Monge–Ampère type. Some partial classification results of Monge–Ampère equations in four dimensions with half-flat conformal structure are also obtained.

Some local aspects of the theory of conformal structure

1993 ◽  
Vol 48 (1) ◽  
pp. 1-35 ◽  
Author(s):  
M A Akivis ◽  
V V Konnov
Keyword(s):  
Conformal Structure

scholarly journals CONFORMAL COURANT ALGEBROIDS AND ORIENTIFOLD T-DUALITY

2012 ◽  
Vol 10 (02) ◽  
pp. 1250084 ◽  
Author(s):  
DAVID BARAGLIA
Keyword(s):  
Line Bundle ◽  
Bilinear Form ◽  
Conformal Structure ◽  
Crossed Module ◽  
Courant Algebroids ◽  
Courant Algebroid ◽  
Circle Bundles ◽  
Twisted Cohomology ◽  
Free Involution ◽  
Special Case

We introduce conformal Courant algebroids, a mild generalization of Courant algebroids in which only a conformal structure rather than a bilinear form is assumed. We introduce exact conformal Courant algebroids and show they are classified by pairs (L, H) with L a flat line bundle and H ∈ H3(M, L) a degree 3 class with coefficients in L. As a special case gerbes for the crossed module (U(1) → ℤ2) can be used to twist TM ⊕ T*M into a conformal Courant algebroid. In the exact case there is a twisted cohomology which is 4-periodic if L2 = 1. The structure of Conformal Courant algebroids on circle bundles leads us to construct a T-duality for orientifolds with free involution. This incarnation of T-duality yields an isomorphism of 4-periodic twisted cohomology. We conjecture that the isomorphism extends to an isomorphism in twisted KR-theory and give some calculations to support this claim.

scholarly journals A note on the hidden conformal structure of non-extremal black holes

2012 ◽  
Vol 716 (1) ◽  
pp. 231-235 ◽  
Author(s):  
Tomás Ortín ◽  
C.S. Shahbazi
Keyword(s):  
Black Holes ◽  
Conformal Structure ◽  
Extremal Black Holes
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