\(\mathcal{N} = (0, 2)\) \(\mathrm{AdS}_3\) solutions of type IIB and F-theory with generic fluxes. (English) Zbl 1462.83082
Summary: We consider the most general \(\mathrm{AdS}_3\) solutions of type IIB supergravity admitting a dynamical SU(3) structure and preserving \(\mathcal{N} = (0, 2)\) supersymmetry. The analysis is broken into three distinct classes depending on whether the dynamical SU(3) structure degenerates to a strict SU(3) structure. The first class we consider allows for a holomorphically varying axio-dilaton consistent with the presence of \((p,q)\) 7-branes in addition to D3-branes and \((p,q)\) 5-branes. In the remaining two classes the axio-dilaton may vary but does not do so holomorphically. The second class of solution allows for 5-branes and 1-branes but no D3-branes, whilst in the final class all branes can be present. We illustrate our results with examples of such solutions including a new infinite family with all fluxes but the axion turned on.
MSC:
| 83E50 | Supergravity |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
Software:
GammaMaPReferences:
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