hooglsenior.blogg.se - Curved space supersymmetry in 2d

#CURVED SPACE SUPERSYMMETRY IN 2D FREE#

Jürg Fröhlich, Krzysztof Gawędzki, Conformal Field Theory and Geometry of Strings, extended lecture notes for lecture given at the Mathematical Quantum Theory Conference, Vancouver, Canada, August 4-8 ( arXiv:hep-th/9310187)

Davide Gaiotto, Theo Johnson-Freyd, Holomorphic SCFTs with small index ( arXiv:1811.00589)ĭiscussion of 2d SCFTs as a higher analog of spectral triples (“ 2-spectral triples”, see there for more) is in terms of vertex operator algebras in.

Yasuyuki Kawahigashi, N = 2 N = 2 Superconformal Field TheoryĪ hint for a relation to tmf, vaguely in line with the lift of the Witten genus to the string orientation of tmf: Lance Dixon, Paul Ginsparg, and Jeffrey Harvey, c ^ = 1 \hat c = 1 Superconformal field theory ( pdf) Related conceptsĪ basic but detailed exposition focusing on the super- WZW model (and the perspective of 2-spectral triples) is in Fröhlich Gawedzki 93 See at supersymmetry – Classification – Superconformal algebra – In dimension 2.

(2,1)-dimensional Euclidean field theories and tmf May be regarded as a “ 2-spectral triple” (see there for more), the 2-dimensional generalization of spectral triples describing the quantum mechanics of spinning particles (super-particles). Super-conformal field theory in dimension d = 2 d = 2, locally given by a super vertex operator algebra.įor central charge 15 this is the worldsheet theory of the superstring. Conjectural interpretation in tmf-cohomology.

#CURVED SPACE SUPERSYMMETRY IN 2D FREE#

Via Dirac-Ramond operators on free loop space.Elliptic genera as super p p-brane partition functions.D = 2 D=2 CFT as functorial field theory.

geometric model for elliptic cohomology.Supergravity Lie 3-algebra, supergravity Lie 6-algebra M-theory super Lie algebra, type II super Lie algebra Superalgebra and ( synthetic ) supergeometry BackgroundĬhain complex of super vector spaces ( model structure)ĭifferential graded-commutative superalgebra ( model structure) Twisted smooth cohomology in string theory Green-Schwarz mechanism, differential string structure,ĪdS/CFT correspondence, holographic principle gravity, supergravity, Yang-Mills theory, quantum gravity.