Abstract
We present a new class of ${\cal N}=4$ supersymmetric quiver matrix models and argue that it describes the stringy low-energy dynamics of internally wrapped D-branes in four-dimensional anti-de Sitter (AdS) flux compactifications. The Lagrangians of these models differ from previously studied quiver matrix models by the presence of mass terms, associated with the AdS gravitational potential, as well as additional terms dictated by supersymmetry. These give rise to dynamical phenomena typically associated with the presence of fluxes, such as fuzzy membranes, internal cyclotron motion and the appearance of confining strings. We also show how these models can be obtained by dimensional reduction of four-dimensional supersymmetric quiver gauge theories on a three-sphere.
Highlights
Introduction and summaryType II string theory compactified on a six-dimensional manifold X6 gives rise to a fourdimensional spacetime M4
We present a new class of N = 4 supersymmetric quiver matrix models and argue that it describes the stringy low-energy dynamics of internally wrapped D-branes in four-dimensional anti-de Sitter (AdS) flux compactifications
The Lagrangians of these models differ from previously studied quiver matrix models by the presence of mass terms, associated with the AdS gravitational potential, as well as additional terms dictated by supersymmetry
Summary
Type II string theory compactified on a six-dimensional manifold X6 gives rise to a fourdimensional spacetime M4. If X6 is a Calabi-Yau manifold without fluxes M4 is flat Minkowski space and the bulk superalgebra has eight supercharges, of which the branes preserve four In this case, the corresponding one-dimensional N = 4 quiver matrix mechanics Lagrangian may be obtained by dimensional reduction of a four-dimensional N = 1 quiver gauge theory. We note that the chiral multiplet part of the massive quiver matrix mechanics Lagrangian in equation (2.1) has been given before, as part of a systematic construction of supersymmetric quantum mechanics models with su(2|1) supersymmetry [19, 20] This part can be obtained by dimension reduction of the general four-dimensional N = 1 chiral multiplet Lagrangian of [21] on R × S3, and it has been obtained this way in [22], for the purpose of computing Casimir energies in conformal field theories on curved spaces.
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