VOAs labelled by complex reflection groups and 4d SCFTs
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep05(2019)155
Abstract: A bstractWe define and study a class of N$$ \mathcal{N} $$ = 2 vertex operator algebras WG$$ {\mathcal{W}}_{\mathrm{G}} $$ labelled by complex reflection groups. They are extensions of the N$$ \mathcal{N} $$ = 2 super… read more here.
Keywords: complex reflection; algebra; mathcal mathrm; reflection ... See more keywords
Perfect isometries between blocks of complex reflection groups
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DOI: 10.1016/j.jalgebra.2019.04.031
Abstract: Acknowledgements.The authors are grateful to M. Broue for asking the question this article settles, at the end of a talk given by the first author at the Beijing Center for Mathematical Research during the Third… read more here.
Keywords: blocks complex; complex reflection; research; isometries blocks ... See more keywords
A physics-based machine learning approach for modeling the complex reflection coefficients of metal nanowires
Sign Up to like & getrecommendations! Published in 2022 at "Nanotechnology"
DOI: 10.1088/1361-6528/ac512e
Abstract: Metal nanowires are attractive building blocks for next-generation plasmonic devices with high performance and compact footprint. The complex reflection coefficients of the plasmonic waveguides are crucial for estimation of the resonating, lasing, or sensing performance.… read more here.
Keywords: complex reflection; reflection coefficients; physics; approach ... See more keywords
Three-dimensional representations of braid groups associated with some finite complex reflection groups
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DOI: 10.1142/s0129167x17501099
Abstract: We study the rigidity of three-dimensional representations of braid groups associated with finite primitive irreducible complex reflection groups in GL(3, ℂ). In many cases, we show the rigidity. For rigid representations, we give explicit forms… read more here.
Keywords: three dimensional; complex reflection; representations braid; dimensional representations ... See more keywords
A solution of the word problem for braid groups via the complex reflection group G12
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DOI: 10.2298/fil2002461c
Abstract: It is known that if there exists a Gröbner-Shirshov basis for a group G, then we say that one of the decision problem, namely the word problem, is solvable for G as well. Therefore, as… read more here.
Keywords: complex reflection; word problem; group; reflection group ... See more keywords
Gröbner-Shirshov Bases for Temperley-Lieb Algebras of Complex Reflection Groups
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DOI: 10.3390/sym10100438
Abstract: We construct a Gröbner-Shirshov basis of the Temperley-Lieb algebra T (d, n) of the complex reflection group G(d, 1, n), inducing the standard monomials expressed by the generators {Ei} of T (d, n). This result… read more here.
Keywords: complex reflection; temperley lieb; bner shirshov; reflection group ... See more keywords