Chiral flavors and M2-branes at toric CY4 singularities

By F. Benini, Cyril Closset, Stefano Cremonesi. 2009

172 citations recorded by the source corpus.

We extend the stringy derivation of $ \mathcal{N} = 2 $ AdS4/CFT3 dualities to cases where the M-theory circle degenerates at complex codimension-two submanifolds of a toric conical CY4. The type IIA backgrounds include D6-branes, and the dual $ \mathcal{N} = 2 $ quiver gauge theories contain chiral flavors. We provide a general recipe to derive the geometric moduli space of flavored versions of Abelian toric quiver gauge theories. The CY4 cone is reproduced thanks to a non-trivial quantum F-term relation between diagonal monopole operators and bifundamental fields. We find new field theory duals to many geometries, including Q111.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/aade8e3b06adf62417bf67c5943785d2b07fe223

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Citations in the corpus

Two-dimensional SCFTs from wrapped branes and c-extremization (2013, methodology): “Another possible approach, in the case of Kähler 4-cycles in toric CY4’s, could be to reduce M-theory to type IIA along a toric isometry as in [98–100] to obtain D4-branes on a toric CY3 fibered over R.”
Localization techniques in quantum field theories (2016, methodology): “The integration over the bosonic zero-modes of P and the massive modes is standard, and the details can be found in [96,97,111].”
The large N limit of quiver matrix models and Sasaki-Einstein manifolds (2011, background): “One can also add D6-branes in this set-up, which introduces new chiral matter fields in fundamental representations of the gauge group factors [31, 32].”
Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories (2012, background): “Using the results of [59], one can show that the Killing vector of Q(1,1,1) that corresponds to the current j is given by(12)”
Towards the F-theorem: $ \mathcal{N} = 2 $ field theories on the three-sphere (2011, background): “), because they play a crucial role in the construction of the quantumcorrected moduli space of vacua in these theories [28,29].”
Exact results for five-dimensional superconformal field theories with gravity duals (2012, background): “Many such SCFTs can be realized as effective theories on N coincident M2-branes placed at the tips of Calabi-Yau cones [9–13].”
Black hole microstates in AdS4 from supersymmetric localization (2015, methodology): “For instance, starting with the geometries AdS4× SE7 and their field theory duals (possibly considering toric Sasaki-Einstein cones as in [52–57]) and placing them on a Riemann surface, one can obtain 14 -BPS black holes in broad families of 4D N = 2 gauged supergravities.”
Supersymmetry on curved spaces and holography (2012, background): “4 A quantum analysis of chiral quiver theories indeed shows some particularities [170].”
Comments on twisted indices in 3d supersymmetric gauge theories (2016, unknown): “[57, 58, 59, 60]) given by: R[T± a ] ≡ ra± = ±k R − 1 2 ∑”
A universal counting of black hole microstates in AdS4 (2017, methodology): “Note that setting b = 0 and using the results in [71] amounts to limiting the discussion to the Sasaki-Einstein manifolds Q1,1,1 and M1,1,1, and orbifolds thereof.”
Comments on 3d Seiberg-like dualities (2011, background): “The M2-brane quivers can also include so-called flavors (fields in the fundamental/antifundamental representation of some of the U(ni) factors) [43, 44, 45].”