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BPS Algebras in 2D String Theory

Harrison, Sarah M. (author)
McGill University
Paquette, N. M. (author)
Persson, Daniel, 1978 (author)
Chalmers tekniska högskola,Chalmers University of Technology
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Volpato, R. (author)
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 (creator_code:org_t)
2022-05-16
2022
English.
In: Annales Henri Poincare. - : Springer Science and Business Media LLC. - 1424-0637 .- 1424-0661. ; 23, s. 3667-3752
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • We discuss a set of heterotic and type II string theory compactifications to 1 + 1 dimensions that are characterized by factorized internal worldsheet CFTs of the form V1⊗ V¯ 2, where V1, V2 are self-dual (super) vertex operator algebras. In the cases with spacetime supersymmetry, we show that the BPS states form a module for a Borcherds–Kac–Moody (BKM) (super)algebra, and we prove that for each model the BKM (super)algebra is a symmetry of genus zero BPS string amplitudes. We compute the supersymmetric indices of these models using both Hamiltonian and path integral formalisms. The path integrals are manifestly automorphic forms closely related to the Borcherds–Weyl–Kac denominator. Along the way, we comment on various subtleties inherent to these low-dimensional string compactifications.

Subject headings

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)
NATURVETENSKAP  -- Matematik -- Geometri (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Geometry (hsv//eng)
NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

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