Frederic Brünner

Constraints on the

The authors apply holography, the Witten-Sagai-Sugimoto model, to glueball decays, and argue that a particular meson,

\eta \eta'

{f}_{0}(1710)

decay rate of a scalar glueball from gauge/gravity duality

, is favored to be a nearly unmixed glueball. They show that flavor asymmetries which are observed experimentally in the decay of the

Holographic Glueball Decay

{f}_{0}(1710)

A duality web of linear quivers

can be explained naturally by symmetry breaking terms, and predict further tests of the model.

Supersymmetric Casimir Energy and

We announce new results on glueball decay rates in the Sakai-Sugimoto model, a realization of holographic QCD from first principles that has only one coupling constant and an overall mass scale as free parameters. We extend a previous investigation by Hashimoto, Tan, and Terashima who have considered the lowest scalar glueball which arises from a somewhat exotic polarization of supergravity modes and whose mass is uncomfortably small in comparison with lattice results. On the other hand, the scalar glueball dual to the dilaton turns out to have a mass of about twice the mass of the rho meson (1487 MeV), very close to the scalar meson f0(1500) that is frequently interpreted as predominantly glue. Calculating the decay rate into two pions we find a surprisingly good agreement with experimental data for the f0(1500). We have also obtained decay widths for tensor and excited scalar glueballs, indicating universal narrowness.

\mathrm{SL(3,\mathbb{Z})}

Abstract We show that applying the Bailey lemma to elliptic hypergeometric integrals on the A n root system leads to a large web of dualities for N = 1 supersymmetric linear quiver theories. The superconformal index of Seibergs SQCD with S U ( N c ) gauge group and S U ( N f ) × S U ( N f ) × U ( 1 ) flavour symmetry is equal to that of N f − N c − 1 distinct linear quivers. Seiberg duality further enlarges this web by adding new quivers. In particular, both interacting electric and magnetic theories with arbitrary N c and N f can be constructed by quivering an s -confining theory with N f = N c + 1 .

Transformations

We provide a recipe to extract the supersymmetric Casimir energy of theories defined on primary Hopf surfaces directly from the superconformal index. It involves an

Holographic QCD predictions for production and decay of pseudoscalar glueballs

\mathrm{SL(3,\mathbb{Z})}

Top-down holographic glueball decay rates

transformation acting on the complex structure moduli of the background geometry. In particular, the known relation between Casimir energy, index and partition function emerges naturally from this framework, allowing rewriting of the latter as a modified elliptic hypergeometric integral. We show this explicitly for