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  N=2 minimal conformal field theories and matrix bifactorisations of xd

Davydov, A., Camacho, A. R., & Runkel, I. (2018). N=2 minimal conformal field theories and matrix bifactorisations of xd. Communications in Mathematical Physics, 357(2), 597-629. doi:10.1007/s00220-018-3086-z.

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Latex : N=2 minimal conformal field theories and matrix bifactorisations of x^d

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 Creators:
Davydov, Alexei1, Author           
Camacho, Ana Ros, Author
Runkel, Ingo, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Quantum Algebra, High Energy Physics - Theory, Mathematics, Category Theory
 Abstract: We establish an action of the representations of N=2-superconformal symmetry on the category of matrix factorisations of the potentials x^d and x^d-y^d for d odd. More precisely we prove a tensor equivalence between (a) the category of Neveu–Schwarz-type representa-tions of the N = 2 minimal super vertex operator algebra at central charge 3–6/d, and (b) a full subcategory of graded matrix factorisations of the potential x^d − y^d . The subcategory in (b) is given by permutation-type matrix factorisations with consecutive index sets. The physical motivation for this result is the Landau–Ginzburg/conformal field theory correspondence, where it amounts to the
equivalence of a subset of defects on both sides of the correspondence. Our work builds on results by Brunner and Roggenkamp [BR], where an isomorphism of fusion rules was established.

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Language(s): eng - English
 Dates: 2018
 Publication Status: Issued
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 Rev. Type: Peer
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Title: Communications in Mathematical Physics
  Abbreviation : Commun. Math. Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 357 (2) Sequence Number: - Start / End Page: 597 - 629 Identifier: -