111 citations · 612 across the 20 of their papers we have counts for
5 papers · 1 filter
Gapped Lineon and Fracton Models on Graphs
Pranay Gorantla, Ho Tat Lam, Nathan Seiberg +1
We introduce a stabilizer code that can be defined on any spatial lattice of the form , where is a general graph. We also present the low-energy…
2+1d Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
Pranay Gorantla, Ho Tat Lam, Nathan Seiberg +1
The 2+1d continuum Lifshitz theory of a free compact scalar field plays a prominent role in a variety of quantum systems in condensed matter physics and high energy physics. It is…
Fractons on Graphs and Complexity
Pranay Gorantla, Ho Tat Lam, Shu-Heng Shao
We introduce two exotic lattice models on a general spatial graph. The first one is a matter theory of a compact Lifshitz scalar field, while the second one is a certain rank-2 $U(…
Fair allocation of a multiset of indivisible items
Pranay Gorantla, Kunal Marwaha, Santhoshini Velusamy
We study the problem of fairly allocating a multiset of indivisible items among agents with additive valuations. Specifically, we introduce a parameter for the numb…
Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
Pranay Gorantla, Ho Tat Lam, Nathan Seiberg +1
We study field theories with global dipole symmetries and gauge dipole symmetries. The famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in d…