Two-surface twistors and conformal embedding

2006 ◽  
pp. 177-184 ◽  
Author(s):  
B. Jeffryes
Keyword(s):  
Conformal Embedding

scholarly journals W algebras, cosets and VOAs for 4d $$ \mathcal{N} $$ = 2 SCFTs from M5 branes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Dan Xie ◽  
Wenbin Yan
Keyword(s):  
Vertex Operator ◽  
Operator Algebras ◽  
Nilpotent Orbit ◽  
Vertex Operator Algebras ◽  
Flavor Symmetries ◽  
Conformal Embedding

Abstract We identify vertex operator algebras (VOAs) of a class of Argyres-Douglas (AD) matters with two types of non-abelian flavor symmetries. They are the W algebras defined using nilpotent orbit with partition [qm, 1s]. Gauging above AD matters, we can find VOAs for more general $$ \mathcal{N} $$ N = 2 SCFTs engineered from 6d (2, 0) theories. For example, the VOA for general (AN − 1, Ak − 1) theory is found as the coset of a collection of above W algebras. Various new interesting properties of 2d VOAs such as level-rank duality, conformal embedding, collapsing levels, coset constructions for known VOAs can be derived from 4d theory.

scholarly journals On local and integrated stress-tensor commutators

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Mert Besken ◽  
Jan de Boer ◽  
Grégoire Mathys
Keyword(s):  
Stress Tensor ◽  
Free Field ◽  
Virasoro Algebra ◽  
Light Sheet ◽  
Operator Product ◽  
Local Form ◽  
Two Dimensional ◽  
Conformal Embedding ◽  
General Aspects ◽  
The Right

Abstract We discuss some general aspects of commutators of local operators in Lorentzian CFTs, which can be obtained from a suitable analytic continuation of the Euclidean operator product expansion (OPE). Commutators only make sense as distributions, and care has to be taken to extract the right distribution from the OPE. We provide explicit computations in two and four-dimensional CFTs, focusing mainly on commutators of components of the stress-tensor. We rederive several familiar results, such as the canonical commutation relations of free field theory, the local form of the Poincaré algebra, and the Virasoro algebra of two-dimensional CFT. We then consider commutators of light-ray operators built from the stress-tensor. Using simplifying features of the light sheet limit in four-dimensional CFT we provide a direct computation of the BMS algebra formed by a specific set of light-ray operators in theories with no light scalar conformal primaries. In four-dimensional CFT we define a new infinite set of light-ray operators constructed from the stress-tensor, which all have well-defined matrix elements. These are a direct generalization of the two-dimensional Virasoro light-ray operators that are obtained from a conformal embedding of Minkowski space in the Lorentzian cylinder. They obey Hermiticity conditions similar to their two-dimensional analogues, and also share the property that a semi-infinite subset annihilates the vacuum.

Conformal Embedding of Cluster Superlattices with Carbon

2019 ◽  
Vol 11 (43) ◽  
pp. 40524-40532
Author(s):  
Moritz Will ◽  
Pantelis Bampoulis ◽  
Tobias Hartl ◽  
Philipp Valerius ◽  
Thomas Michely
Keyword(s):  
Conformal Embedding

Image Analysis by Conformal Embedding

2011 ◽  
Vol 40 (3) ◽  
pp. 305-325 ◽  
Author(s):  
Oliver Fleischmann ◽  
Lennart Wietzke ◽  
Gerald Sommer
Keyword(s):  
Image Analysis ◽  
Conformal Embedding

Anisotropic surface meshing with conformal embedding

2014 ◽  
Vol 76 (5) ◽  
pp. 468-483 ◽  
Author(s):  
Zichun Zhong ◽  
Liang Shuai ◽  
Miao Jin ◽  
Xiaohu Guo
Keyword(s):  
Anisotropic Surface ◽  
Surface Meshing ◽  
Conformal Embedding

scholarly journals Conformal embedding and twisted theta functions at level one

2019 ◽  
Vol 148 (1) ◽  
pp. 9-22
Author(s):  
Swarnava Mukhopadhyay ◽  
Hacen Zelaci
Keyword(s):  
Theta Functions ◽  
Conformal Embedding

An analogue of the Riemann mapping theorem for Lorentz metrics

1985 ◽  
Vol 401 (1820) ◽  
pp. 117-130 ◽  
Keyword(s):  
Riemann Mapping ◽  
Two Dimensional ◽  
Standard Sphere ◽  
Riemann Mapping Theorem ◽  
Conformal Embedding ◽  
Hyperbolic Operators ◽  
Lorentz Metrics ◽  
Dimension 2 ◽  
Simply Connected ◽  
Orientable Surfaces

The classical Riemann mapping theorem essentially says that a simply connected two-dimensional smooth Riemannian manifold is conformal to the standard sphere S 2 , the Euclidean plane E 2 , or the unit disk D 2 . The analogous problems in the Lorentz case are as follows. Let M be a simply connected two-dimensional smooth Lorentz manifold. Note that necessarily M is diffeomorphic to R 2 . (1) Does M admit a conformal embedding in E 1, 1 ,i.e. R 2 with cartesian coordinates { x, y } and the metric d x d y ? (2) What are the conformal types of such M’s ? In this paper these questions are partly answered in terms of an ‘ ideal boundary’ ∂ 0 M which is a conformal invariant of M. A geometric consequence is that among orientable surfaces only R 2 , R x S 1 and S 1 x S 1 admit complete Lorentz metrics of constant curvature. The results of this paper may be regarded as a part of a global study of space-times as well as of the second-order linear hyperbolic operators in dimension 2.

Conformal embedding of a disc with a Lorentz metric into the plane

1997 ◽  
Vol 309 (3) ◽  
pp. 359-373
Author(s):  
Feng Luo ◽  
Richard Stong
Keyword(s):  
Conformal Embedding
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