Higher-dimensional field theories from type II supergravity

Abstract

In this thesis we give a pedagogical introduction to the construction of NS5-D6(-O6)-D8(-O8) brane setups in massive type IIA string theory and the six-dimensional $(1,0)$ SCFT's they engineer. After describing how to introduce the various ingredients (and their interplay) in type IIA, we explain how to read off an effective linear quiver description of the SCFT's from the brane setups. We then explain in detail how to construct all AdS${}_7$ solutions of massive IIA supergravity which are dual to the field theories. We do this by exploiting the power of generalized complex geometry. We then show how to establish a holographic dictionary between four-dimensional $\mathcal{N}=1$ compactifications on a Riemann surface (without punctures) of the $(1,0)$ SCFT's and a certain class of massive IIA AdS${}_5$ solutions, which are in one-to-one correspondence with the AdS${}_7$ vacua. We provide evidence for the advocated AdS${}_7$/CFT${}_6$ and AdS${}_5$/CFT${}_4$ dualities by computing the (leading order of the) field theory $a$ conformal anomaly from supergravity. Finally, we briefly touch upon the construction of five-dimensional $\mathcal{N}=1$ SCFT's through fivebrane webs, and reduce the classification problem of their type IIB AdS${}_6$ duals to a system of two coupled PDEs.

Ph.D. thesis (defended Jul 2016, ULB Brussels); koma-script, 241 pages, 34 figures, 7 tables; original contributions based on arXiv:1309.2949, arXiv:1406.0852, arXiv:1502.06616, and arXiv:1502.06620

References in corpus (70)

• The World as a Hologram
• Dirichlet-Branes and Ramond-Ramond Charges
• The Cosmological Constant
• The Holographic Weyl anomaly
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Dielectric-Branes
• N=2 dualities
• Supergravity description of field theories on curved manifolds and a no go theorem
• Solutions Of Four-Dimensional Field Theories Via M Theory
• On Renormalization Group Flows in Four Dimensions
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Phase Transitions In M-Theory And F-Theory
• TASI Lectures on D-Branes
• Brane Dynamics and Gauge Theory
• Extremal Transitions and Five-Dimensional Supersymmetric Field Theories
• Some Comments On String Dynamics
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Small $E_8$ Instantons and Tensionless Non-critical Strings
• Generalized structures of N=1 vacua
• On Lorentz Invariant Actions for Chiral P-Forms
• EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
• The Constraints of Conformal Symmetry on RG Flows
• The D4-D8 Brane System and Five Dimensional Fixed Points
• Toroidal Compactification Without Vector Structure
• Four-Dimensional SCFTs from M5-Branes
• A scan for new N=1 vacua on twisted tori
• Branes and Six Dimensional Supersymmetric Theories
• Supersymmetric AdS(4) compactifications of IIA supergravity
• Non-trivial Fixed Points of The Renormalization Group in Six Dimensions
• On non-abelian T-dual geometries with Ramond fluxes
• Branes at Orbifolds versus Hanany Witten in Six Dimensions
• A Construction of Killing Spinors on S^n
• T-Branes and Monodromy
• M-Strings
• Anomaly polynomial of general 6d SCFTs
• Supersymmetric AdS_5 Solutions of Type IIB Supergravity
• New Phases of String Theory and 6d RG Fixed Points via Branes at Orbifold Singularities
• Supersymmetric AdS_6 via T-duality
• 5d quivers and their AdS(6) duals
• Domain Walls from Anti-de Sitter Spacetime
• RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities
• Strings of Minimal 6d SCFTs
• On Type IIA geometries dual to N = 2 SCFTs
• The problematic backreaction of SUSY-breaking branes
• AdS_6 Interpretation of 5d Superconformal Field Theories
• Membranes and Fivebranes with Lower Supersymmetry and their AdS Supergravity Duals
• AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• On Non-Abelian T-Duality and new N=1 backgrounds
• A note on supersymmetric AdS_6 solutions of massive type IIA supergravity
• F-theory on singular spaces
• The Killing superalgebra of ten-dimensional supergravity backgrounds
• The D8-Brane Tied up: String and Brane Solutions in Massive Type IIA Supergravity
• Localized O6-plane solutions with Romans mass
• Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor
• Type IIB Killing spinors and calibrations
• General Type IIB Fluxes with SU(3) Structures
• Generalized Kaehler Potentials from Supergravity
• AdS_5 Solutions of Type IIB Supergravity and Generalized Complex Geometry
• Refining G-structure classifications
• Holographic Uniformization
• New $\mathcal{N}=1$ supersymmetric $Ad{S}_5$ backgrounds in Type IIA supergravity
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Timelike Killing spinors in seven dimensions
• IIA supergravity and M-theory on manifolds with SU(4) structure
• Duality-symmetric actions for non-Abelian tensor fields
• IIB supergravity on manifolds with SU(4) structure and generalized geometry
• Generalized geometry of two-dimensional vacua
• Pure spinor equations to lift gauged supergravity
• TASI lectures: special holonomy in string theory and M-theory

Cited by in corpus (2)

• Equivariant Cohomotopy implies orientifold tadpole cancellation
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams