Abstract
In this note we study some aspects of the so-called dual ABJM theory introduced by Hanany, Vegh & Zaffaroni. We analyze the spectrum of chiral operators, and compare it with the spectrum of functions on the mesonic moduli space \( \mathcal{M}{ = }{\mathbb{C}^2} \times {{{{\mathbb{C}^2}} \mathord{\left/{\vphantom {{{\mathbb{C}^2}} \mathbb{Z}}} \right.} \mathbb{Z}}_k} \), finding expected agreement for the coherent branch. A somewhat mysterious extra branch of dimension N 2 opens up at the orbifold fixed point. We also study BPS solutions which represent M2/M5 intersections. The mesonic moduli space suggests that there should be two versions of this spike: one where the M5 lives in the orbifolded \( {\mathbb{C}^2} \) and another where it lives in the unorbifolded one. While expectedly the first class turns out to be like the ABJM spike, the latter class looks like a collection of stacks of M5 branes with fuzzy S 3 profiles. This shows hints of the appearance of the global SO(4) at the non-abelian level which is otherwise not present in the bosonic potential. We also study the matching of SUGRA modes with operators in the coherent branch of the moduli space. As a byproduct, we present some formulae for the laplacian in conical CY 4 of the form \( {\mathbb{C}^n} \times C{Y_{4 - n}} \).
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ArXiv ePrint: 0911.0008
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Rodriguez-Gomez, D. M5 spikes and operators in the HVZ membrane theory. J. High Energ. Phys. 2010, 39 (2010). https://doi.org/10.1007/JHEP03(2010)039
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DOI: https://doi.org/10.1007/JHEP03(2010)039