Type II solutions on \( \mathrm{AdS}_3 \times S^3 \times S^3\) with large superconformal symmetry. (English) Zbl 1416.83144

Summary: New local solutions in type II supergravity that are foliations of \( \mathrm{AdS}_3 \times S^3 \times S^3\) over an interval and preserve at least large \( \mathcal{N}=\left(4,0\right) \) supersymmetry are found. Some cases have compact internal space, some not and one experiences an enhancement to \( \mathcal{N}=\left(4,4\right) \). We present two new globally compact solutions with D brane and O plane sources explicitly, one in each of IIA and IIB. The former is part of an infinite family of solutions with D8/O8s back reacted on \( \mathrm{AdS}_3 \times S^3 \times S^3 \times S^1 \). In the latter the algebra degenerates to small \( \mathcal{N}=\left(4,0\right) \) and the internal geometry is bounded between D5s and O5s back reacted on \( \mathrm{AdS}_3 \times S^3 \times \mathbb{R}^4 \).


83E50 Supergravity
83C15 Exact solutions to problems in general relativity and gravitational theory
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T60 Supersymmetric field theories in quantum mechanics
83E30 String and superstring theories in gravitational theory
Full Text: DOI arXiv


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