The multi-moment maps of the nearly Kähler $$S^3\times S^3$$ S 3 × S 3

The holographic dual of AdS 3 × S 3 × S 3 × S 1

We construct the two dimensional N = (0, 4) gauge theory that lives on the world volume of D1-branes and intersecting D5-branes. We conjecture that this theory flows in the infra-red to a fixed point with large N = (4, 4) superconformal symmetry. The central charge of the conformal field theory is shown to coincide with the holographic dual of string theory compactified on AdS3 × S × S × S.

un 1 99 8 S 3 × S 3 acts freely on S 3 × S 3

A free action of the direct product of two copies of the symmetric group on 3 elements on the cartesian product of two copies of the 3-sphere is constructed. This nonlinear action is constructed using surgery. The action provides a counterexample to a conjecture of Lewis made in 1968. Results of P. A. Smith [10] and J. Milnor [5] show that a dihedral group cannot act freely on a sphere. This im...

The Search for a Holographic Dual to AdS 3 × S 3 × S 3 × S 1 Sergei

Analysis of the Na 2 2 3 S g ¿ \ a 3 S u ¿ continua : Potentials and transition moment function

The repulsive a Su 1 state potential of the Na2 molecule is determined by applying the IPA ~inverse perturbation approach! of V. S. Ivanov and V. B. Sovkov @Chem. Phys. 213, 295 ~1996!# to the analysis of the Na2 2 Sg 1 (v515, N527, and v55, N539)→a Su1 continua observed in the work of T. J. Whang et al. @J. Mol. Spectrosc. 160, 411 ~1993!#. The resulting a Su 1 state potential is close to the ...

Orthogonal Arrays with Parameters OA(s3,s2+s+1,s,2) and 3-Dimensional Projective Geometries

There are many nonisomorphic orthogonal arrays with parameters OA(s3, s2 + s+1, s, 2) although the existence of the arrays yields many restrictions. We denote this by OA(3, s) for simplicity. V.D. Tonchev showed that for even the case of s = 3, there are at least 68 nonisomorphic orthogonal arrays. The arrays that are constructed by the n−dimensional finite spaces have parameters OA(s, (s − 1)/...