Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory

Abstract

We study the correspondence between AdS${}_3$ massive IIA supergravity vacua and two-dimensional $\mathcal{N}=(0,4)$ quiver quantum field theories. After categorizing all kinds of gravity solutions, we demystify the ones that seem to reflect anomalous gauge theories. In particular, we prove that there are bound states of D-branes on the boundary of the space which provide the dual quiver theory with exactly the correct amount of flavor symmetry in order to cancel its gauge anomalies. Then we propose that the structure of the field theory should be complemented with additional bifundamental matter, which we argue may only be $\mathcal{N}=(4,4)$ hypermultiplets. Finally, we construct a BPS string configuration and we use the old and new supersymmetric matter to build its dual ultraviolet operator. During this holographic synthesis, we uncover some interesting features of the quiver superpotential and associate the proposed operator with the same classical mass of its dual BPS string.

arXiv comment43 pages, many figures; typos corrected, comments added, section 5 corrected/enhanced

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• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• Electrostatic Description of Five-dimensional SCFTs
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• N=(0,4) Black String Chains
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• Fragmentation and defragmentation of strings in type IIA and their holographic duals
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Complexity and Operator Growth in Holographic 6d SCFTs
• Type IIB parabolic ($p,q$)-strings from M2-branes with fluxes