Compactification of 6d <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:mi mathvariant="script">N</mml:mi> <mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo> <mml:mo stretchy="false">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>0</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:math> quivers, 4d SCFTs and their holographic dual Massive IIA backgrounds
Paul Merrikin, Carlos Núñez, Ricardo Stuardo
Abstract
In this paper we study an infinite family of Massive Type IIA backgrounds that holographically describe the twisted compactification of N=(1,0) six-dimensional SCFTs to four dimensions. The analysis of the branes involved motivates an heuristic proposal for a four dimensional linear quiver QFT, that deconstructs the theory in six dimensions. For the case in which the system reaches a strongly coupled fixed point, we calculate some observables that we compare with holographic results. Two quantities measuring the number of degrees of freedom for the flow across dimensions are studied.
Topics & Concepts
Compactification (mathematics)QuiverMathematicsCombinatoricsPure mathematicsBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsHomotopy and Cohomology in Algebraic Topology