Kavli Affiliate: Hirosi Ooguri
| First 5 Authors: Andreas Karch, Hirosi Ooguri, Mianqi Wang, ,
| Summary:
We derive a formula for the half-BPS interface entropy between any pair of
${cal N}=(4,4)$ theories on the same conformal manifold. This generalizes the
diastasis formula derived in arXiv:1311.2202 for ${cal N}=(2,2)$ theories,
which is restricted to the conformal submanifolds generated by either chiral or
twisted chiral multiples of ${cal N}=(2,2)$ supersymmetry. To derive the
${cal N}=(4,4)$ formula, we use the fact that the conformal manifold of ${cal
N}=(4,4)$ theories is symmetric and quaternionic-K"ahler and that its isotropy
group contains the $SU(2) otimes SU(2)$ external automorphism of the ${cal
N}=(4,4)$ superconformal algebra. As an application of the formula, we prove a
supersymmetric non-renormalization theorem, which explains the observation in
arXiv:1005.4433 that the interface entropy for half-BPS Janus solutions in type
IIB supergravity on ${it AdS}_3 times S^3 times T^4$ coincides with the
corresponding quantity in their free conformal field limits.
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