superalgebra and (synthetic ) supergeometry
What one usually refers to as type II string theory is defined on Lorentzian geometry. It is thought that analogues of Type II string theory (and, more generally, of the other theories appearing in string theory, such as M-theory) may be defined on spaces with signature other than Lorentz.
In Hull (1998) it is argued that there exists a web of Type II theories related by space- or time-like T-duality, as well as S-duality, summarized in:
where in particular “IIA/B” refers to type II string theory and “” to type II* string theory. These theories are described in terms of their spacetime action functional. For the Type IIA’s:
while for the Type IIB’s:
General:
Christopher Hull. Timelike T-duality, de Sitter space, large N gauge theories and topological field theory, JHEP 07 (1998) 021 [hep-th/9806146]
Christopher Hull. Duality and the signature of space-time, JHEP 9811 (1998) 017 [hep-th/9807127]
Christopher Hull and Ramzi Khuri, Branes, times and dualities, Nucl.Phys. B536 (1998) 219 [hep-th/9808069]
Christopher Hull. Duality and Strings, Space and Time. (1999) [hep-th/9911080]
Hitoshi Nishino, Jim Gates. The -Report. (1999). [hep-th/9908136]
On the relation between the super Lie algebras of II and and the orthosymplectic super Lie algebra :
Eric Bergshoeff, Antoine Van Proeyen. The many faces of . (2000). [hep-th/0003261]
Eric Bergshoeff, Antoine Van Proeyen. The unifying superalgebra . (2000). [hep-th/0010194]
The supposed branes in , E-branes?, are discussed in:
That the boundary state for the Dirichlet S-brane constructed is a solution of type rather than type II string theory is in:
The suggestion that and its would-be M-theory lift may play a role in interpreting M-theory as defined on the base space of an octonionic projective space bundle with structure group the exceptional Lie group is in Remark 5, Section 2.3 of:
On the relation of twisted algebra, Para-quaternionic Kähler manifolds, and compactifications of on Calabi-Yau's:
Created on November 1, 2023 at 23:04:55. See the history of this page for a list of all contributions to it.