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キーワード:
High Energy Physics - Theory, hep-th
要旨:
Double field theory yields a formulation of the low-energy effective action
of bosonic string theory and half-maximal supergravities that is covariant
under the T-duality group O$(d,d)$ emerging on a torus $T^d$. Upon reduction to
three spacetime dimensions and dualisation of vector fields into scalars, the
symmetry group is enhanced to O$(d+1,d+1)$. We construct an enhanced double
field theory with internal coordinates in the adjoint representation of
O$(d+1,d+1)$. Its section constraints admit two inequivalent solutions,
encoding in particular the embedding of $D=6$ chiral and non-chiral theories,
respectively. As an application we define consistent generalized Scherk-Schwarz
reductions using a novel notion of generalized parallelization. This allows us
to prove the consistency of the truncations of $D=6$, ${\cal N}=(1,1)$ and
$D=6$, ${\cal N}=(2,0)$ supergravity on AdS$_3\times \mathbb{S}^3$.
