WebMar 1, 1987 · We study a family of Dirac operatorsQ on loop space. These operators arise in the context of supersymmetric nonlinear quantum field models with HamiltoniansH=Q 2. … WebAug 21, 2024 · Also, we find states in the kinematical Hilbert space on which the expectation value of the Dirac type operator gives the Dirac Hamiltonian in a semi-classical limit and thus provides a connection to fermionic quantum field theory. Finally, an almost-commutative algebra emerges from the holonomy-diffeomorphism algebra in the same …
Index of a family of Dirac operators on loop space - ResearchGate
WebThe stringor bundle is a Hilbert space bundle Fover the free loop space LM of M, such that the fibreF γ over a loop of the form γ= β 1 ∪β 2 is a bimodule A β 1 F γ A β 2 for von Neumann algebras A β associated to paths β. Moreover, there is a Connes fusion product F β 1∪β 2 = A β 2 F β 2∪β 3 ∼F β 1∪β 3. 2024: Kristel ... WebMar 1, 2010 · The Dirac–Ramond operator is the extension to superstring theory of the ordinary Dirac operator in field theory; it is the Dirac operator on loop space and its ordinary index (3 –5) is given by the string genus, whereas the elliptic genus of Ochanine and Landweber and Stong (6, 7) corresponds to the index of one of its twisted versions ... tssaa girls basketball tournament 218
[PDF] On the space of initial values strictly satisfying the dominant ...
WebJan 1, 2006 · Dirac Operator Loop Space Elliptic Genus These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. Research supported in part by NSF Grants … Webthrough the Dirac operator. Both the ordinary index (1) and the families index (2) of the Dirac operator reveal features of quan-tum field theories. The Dirac–Ramond operator is the extension to superstring theory of the ordinary Dirac operator in field the-ory; it is the Dirac operator on loop space and its ordinary index WebJan 11, 2024 · Dirac operator index theory, K-theory Dirac equation Dirac field rotation groupsin lowdimensions: see also Spin(5).Spin(3) finite rotation groups ADE-classification String geometry string geometry string 2-group, string^c 2-group string structure, string^c structure Fivebrane geometry fivebrane 6-group fivebrane structure Ninebrane geometry tssaa girls basketball sectionals