nLab type II* string theory

Idea

Type $II^\ast$ string theory is supposed to be the T-dual to type II string theory under KK-compactification on a timelike circle.

References

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 $II^\ast$ and the orthosymplectic super Lie algebra $\mathfrak{osp}(1\vert 32)$:

• Eric Bergshoeff, Antoine Van Proeyen. The many faces of $OSp(1\vert 32)$. (2000). [hep-th/0003261]

• Eric Bergshoeff, Antoine Van Proeyen. The unifying superalgebra $OSp(1\vert 32)$. (2000). [hep-th/0010194]

The supposed branes in $II^\ast$, E-branes?, are discussed in:

• Somdatta Bhattacharya, Sudipta Mukherji, Shibaji Roy. On the effective action of a space-like brane. (2003). [hep-th/0308069]

That the boundary state for the Dirichlet S-brane constructed is a solution of type $II^\ast$ rather than type II string theory is in:

• Bruno Durin, Boris Pioline. Aspects of Dirichlet S-branes. (2005) [hep-th/0507059]

The suggestion that $II^\ast$ 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 $\mathbb{O}P^2$ bundle with structure group the exceptional Lie group $F_4$ is in Remark 5, Section 2.3 of:

• Hisham Sati. On the geometry of the supermultiplet in M-theory. (2009). [arXiv:0909.4737]

On the relation of twisted $\mathcal{N}=2$ algebra, Para-quaternionic Kähler manifolds, and compactifications of $II^\ast$ on Calabi-Yau's:

• Maxime Médevielle, Thomas Mohaupt, and G. Pope. Type-II Calabi-Yau compactifications, T-duality and special geometry in general spacetime signature. J. High Energ. Phys. 2022, 48 (2022). [doi:10.1007/JHEP02(2022)048048)]