Anisotropic surface meshing with 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.

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Anisotropic surface-enhanced Raman scattering in shape-controlled Ag microcoils

Materials Letters ◽

10.1016/j.matlet.2021.130178 ◽

2021 ◽

pp. 130178

Author(s):

Xu Zhao ◽

Kensuke Sakuma ◽

Makoto Yamaguchi ◽

Mikio Muraoka

Keyword(s):

Raman Scattering ◽

Surface Enhanced Raman Scattering ◽

Anisotropic Surface ◽

Surface Enhanced ◽

Surface Enhanced Raman ◽

Enhanced Raman Scattering ◽

Shape Controlled

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On local and integrated stress-tensor commutators

Journal of High Energy Physics ◽

10.1007/jhep07(2021)148 ◽

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.

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