# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## Exploring conformality in lattice N=4 supersymmetric Yang--Mills

Aug 8, 2022, 5:30 PM
20m
CP1-HSZ/Ground-0.001 - HS3 (CP1-HSZ)

### CP1-HSZ/Ground-0.001 - HS3

#### CP1-HSZ

50
Oral Presentation Particle physics beyond the Standard Model

### Speaker

David Schaich (University of Liverpool)

### Description

Maximally supersymmetric Yang--Mills theory ($\mathcal N = 4$ SYM) is conformal for any value of the coupling. Lattice regularization breaks conformality through the introduction of a non-zero lattice spacing and a finite lattice volume. I will present ongoing computations of conformal scaling dimensions in lattice $\mathcal N = 4$ SYM, based on a lattice formulation that exactly preserves a supersymmetry sub-algebra at non-zero lattice spacing. The main targets are the non-trivial anomalous dimension of the Konishi operator, as well as a mass anomalous dimension extracted from the eigenvalue mode number of the fermion operator. The latter is expected to vanish in the conformal continuum theory, providing insight into the interplay of lattice discretization and conformality.

### Primary author

David Schaich (University of Liverpool)