Daniel Louis Jafferis

Fractional M2-branes

We consider two generalizations of the = 6 superconformal Chern-Simons-matter theories with gauge group U(N) × U(N). The first generalization is to = 6 superconformal U(M) × U(N) theories, and the second to = 5 superconformal O(2M) × USp(2N) and O(2M+1) × USp(2N) theories. These theories are conjectured to describe M2-branes probing C4/Zk in the unitary case, and C4/k in the orthogonal/symplectic case, together with a discrete flux, which can be interpreted as |M−N| fractional M2-branes localized at the orbifold singularity. The classical theories with these gauge groups have been constructed before; in this paper we focus on some quantum aspects of these theories, and on a detailed description of their M theory and type IIA string theory duals.

The Exact Superconformal R-Symmetry Extremizes Z

A bstractThe three sphere partition function, Z , of three dimensional theories with four supercharges and an R-symmetry is computed using localization, resulting in a matrix integral over the Cartan of the gauge group. There is a family of couplings to the curved background, parameterized by a choice of R-charge, such that supersymmetry is preserved; Z is a function of those parameters. The magnitude of the result is shown to be extremized for the superconformal R-charge of the infrared conformal field theory, in the absence of mixing of the R-symmetry with accidental symmetries. This exactly determines the IR superconformal R-charge.

Quantum corrections to \( \mathcal{N}=2 \) Chern-Simons theories with flavor and their AdS4 duals

A bstractWe add fundamental flavors to

Notes on adding D6 branes wrapping \( \mathbb{R}\mathbb{P} \) 3 in AdS4 × \( \mathbb{C}\mathbb{P} \) 3

\mathcal{N}=2

Wall-crossing from supersymmetric galaxies

Chern-Simons-matter theories living on M2 branes probing a Calabi-Yau four-fold singularity. This is dual, in the ’t Hooft limit described by IIA string theory, to the introduction of supersymmetric D6 branes wrapping AdS4 and a 3-cycle of the internal manifold. The resulting Chern-Simons theories remain conformally invariant, corresponding to the fact that the D6 branes lift to pure geometry in M-theory. The determination of the moduli space relies crucially on the 1- loop contributions to charges and OPE’s of monopole operators in these field theories. The general picture is determined for non-chiral and chiral flavors, and is illustrated in several examples.

Massive type IIA string theory cannot be strongly coupled

A bstractWe deform the

Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions

\mathcal{N}

A simple class of N = 3 gauge/gravity duals

= 6 Chern Simons theory by adding extra matter hypermultiplets in a fundamental representation of one or both gauge groups. We compute the quantum corrected moduli space. We verify that the holographic dual of the modified theory consists of the usual AdS4×