Achilleas Passias

AdS6 solutions of type II supergravity

A bstractVery few AdS6 × M4 supersymmetric solutions are known: one in massive IIA, and two IIB solutions dual to it. The IIA solution is known to be unique; in this paper, we use the pure spinor approach to give a classification for IIB supergravity. We reduce the problem to two PDEs on a two-dimensional space Σ. M4 is then a fibration of S2 over Σ; the metric and fluxes are completely determined in terms of the solution to the PDEs. The results seem likely to accommodate near-horizon limits of (p, q)-fivebrane webs studied in the literature as a source of CFT5’s. We also show that there are no AdS6 solutions in eleven-dimensional supergravity.

Supersymmetric AdS5 solutions of massive IIA supergravity

A bstractMotivated by a recently found class of AdS7 solutions, we classify AdS5 solutions in massive IIA, finding infinitely many new analytical examples. We reduce the general problem to a set of PDEs, determining the local internal metric, which is a fibration over a surface. Under a certain simplifying assumption, we are then able to analytically solve the PDEs and give a complete list of all solutions. Among these, one class is new and regular. These spaces can be related to the AdS7 solutions via a simple universal map for the metric, dilaton and fluxes. The natural interpretation of this map is that the dual CFT6 and CFT4 are related by twisted compactification on a Riemann surface Σg . The ratio of their free energy coefficients is proportional to the Euler characteristic of Σg . As a byproduct, we also find the analytic expression for the AdS7 solutions, which were previously known only numerically. We determine the free energy for simple examples: it is a simple cubic function of the flux integers.

Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity

We describe three analytic classes of infinitely many AdS(d) supersymmetric solutions of massive IIA supergravity, for d=7,5,4. The three classes are related by simple universal maps. For example, the AdS(7)×M(3) solutions (where M(3) is topologically S(3)) are mapped to AdS(5)×Σ(2)×M(3), where Σ(2) is a Riemann surface of genus g≥2 and the metric on M(3) is obtained by distorting M(3) in a certain way. The solutions can have localized D6 or O6 sources, as well as an arbitrary number of D8-branes. The AdS(7) case (previously known only numerically) is conjecturally dual to an NS5-D6-D8 system. The field theories in three and four dimensions are not known, but their number of degrees of freedom can be computed in the supergravity approximation. The AdS(4) solutions have numerical attractor generalizations that might be useful for flux compactification purposes.

Universal consistent truncation for 6d/7d gauge/gravity duals

A bstractRecently, AdS7 solutions of IIA supergravity have been classified; there are infinitely many of them, whose expression is known analytically, and with internal space of S3 topology. Their field theory duals are six-dimensional (1,0) SCFT’s. In this paper we show that for each of these AdS7 solutions there exists a consistent truncation from massive IIA supergravity to minimal gauged supergravity in seven dimensions. This theory has an SU(2) gauge group, and a single scalar, whose value is related to a certain distortion of the internal S3. This explains the universality observed in recent work on AdS5 and AdS4 solutions dual to compactifications of the (1, 0) SCFT6’s. Thanks to previous work on the minimal gauged supergravity, the truncation also implies the existence of holographic RG-flows connecting those solutions to the AdS7 vacuum, as well as new classes of IIA AdS3 solutions.

Erratum to: AdS6 solutions of type II supergravity

Fabio Apruzzi, Marco Fazzi, Achilleas Passias, Dario Rosa and Alessandro Tomasiello Institut fur Theoretische Physik, Leibniz Universitat Hannover, Appelstrase 2, 30167 Hannover, Germany Physique Theorique et Mathematique, Universite Libre de Bruxelles, Campus Plaine C.P. 231, B-1050 Bruxelles, Belgium International Solvay Institutes, Campus Plaine C.P. 231, B-1050 Bruxelles, Belgium Dipartimento di Fisica, Universita di Milano-Bicocca, Piazza della Scienza 3, I-20126 Milano, Italy INFN, sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126 Milano, Italy