5 papers
Non-local non-linear sigma models
Steven S. Gubser, Christian B. Jepsen, Ziming Ji +2
We study non-local non-linear sigma models in arbitrary dimension, focusing on the scale invariant limit in which the scalar fields naturally have scaling dimension zero, so that t…
Mixed field theory
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We consider scalar field theory defined over a direct product of the real and -adic numbers. An adjustable dynamical scaling exponent enters into the microscopic lagrangian,…
Spin in -adic AdS/CFT
Steven S. Gubser, Christian Jepsen, Brian Trundy
We study the holographic dual of the simplest notion of spin in a -adic field theory, namely Green's functions which involve non-trivial sign characters over the -adic number…
Higher melonic theories
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We classify a large set of melonic theories with arbitrary -fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form $\ma…
Continuum limits of sparse coupling patterns
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We exhibit simple lattice systems, motivated by recently proposed cold atom experiments, whose continuum limits interpolate between real and -adic smoothness as a spectral expon…