Pith. sign in

Extension of the Poincar\'e group with half-integer spin generators: hypergravity and beyond

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

An extension of the Poincar\'e group with half-integer spin generators is explicitly constructed. We start discussing the case of three spacetime dimensions, and as an application, it is shown that hypergravity can be formulated so as to incorporate this structure as its local gauge symmetry. Since the algebra admits a nontrivial Casimir operator, the theory can be described in terms of gauge fields associated to the extension of the Poincar\'e group with a Chern-Simons action. The algebra is also shown to admit an infinite-dimensional non-linear extension, that in the case of fermionic spin-$3/2$ generators, corresponds to a subset of a contraction of two copies of WB$_2$. Finally, we show how the Poincar\'e group can be extended with half-integer spin generators for $d\geq3$ dimensions.

fields

hep-th 2

years

2026 1 2025 1

representative citing papers

BMS$_3$ invariant field theories

hep-th · 2026-07-07 · accept · novelty 6.0

New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.

The Carrollian Kaleidoscope

hep-th · 2025-06-19 · unverdicted · novelty 1.0

A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.

citing papers explorer

Showing 2 of 2 citing papers.

  • BMS$_3$ invariant field theories hep-th · 2026-07-07 · accept · none · ref 23 · internal anchor

    New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.

  • The Carrollian Kaleidoscope hep-th · 2025-06-19 · unverdicted · none · ref 214 · internal anchor

    A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.