TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.3.069
TI  - Generalized lattices, conformal manifolds, and symmetries
PY  - 2025/09/24
UR  - https://www.scipost.org/SciPostPhys.19.3.069
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 3
SP  - 069
A1  - Razamat, Shlomo S.
AU  - Shemesh, Michal
AU  - Zeltzer, Aelly
AB  - We consider supersymmetric conformal quantum field theories (SCFTs) with degrees of freedom labeled by lattice data. We will assume that in terms of the corresponding lattice the interactions are nearest neighbor and exactly marginal. For example, one can construct such theories by coupling many copies of a single SCFT with exactly marginal deformations. In particular, we discuss the interplay between conformal manifolds of such theories and their global, on-site and lattice, symmetries. We show that one can interpret certain current non-conservation equations for symmetries broken by the interactions as conservation equations including the lattice directions. Moreover, we discuss a class of exactly marginal deformations which are labeled by lattice holonomies that are topological on the lattice. We discuss concrete examples of such constructions and comment on their relevance to compactifications of SCFTs.
ER  -

@Article{10.21468/SciPostPhys.19.3.069,
	title={{Generalized lattices, conformal manifolds, and symmetries}},
	author={Shlomo S. Razamat and Michal Shemesh and Aelly Zeltzer},
	journal={SciPost Phys.},
	volume={19},
	pages={069},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.3.069},
	url={https://scipost.org/10.21468/SciPostPhys.19.3.069},
}