Bootstrapping Weakly Broken Gauge Theories in (A)dS

@misc{baumann2026bootstrapping,
  title = {{Bootstrapping Weakly Broken Gauge Theories in (A)dS}},
  author = {Daniel Baumann and Kurt Hinterbichler and Callum R. T. Jones and Nathan Meurrens},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38308},
  eprint = {2609.38308},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38308},
}

TY  - UNPB
TI  - Bootstrapping Weakly Broken Gauge Theories in (A)dS
AU  - Daniel Baumann
AU  - Kurt Hinterbichler
AU  - Callum R. T. Jones
AU  - Nathan Meurrens
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.38308
UR  - https://arxiv.org/abs/2609.38308
AB  - We develop a bootstrap approach for weakly broken gauge theories in (anti-)de Sitter space, focusing on cases in which the conservation of the dual boundary current is broken by a double-trace operator. Integrating the corresponding Ward identity, we derive pseudo-charge conservation identities that contain fixed nonlocal contributions as integrals of three-point functions. These identities impose consistency conditions on the space of allowed theories. As an illustrative example, we study Yang-Mills theory in AdS with symmetry-breaking boundary conditions for charged matter and show that the pseudo-charge conservation identities constrain the mixing between the two quantization sectors. We then apply the framework to the Higgs mechanism for gravity in two AdS spaces with a common boundary, coupled so that the corresponding stress tensors are not separately conserved. In this setting, the ordinary charge conservation identities recover the factorization into two independent CFTs, whereas the pseudo-charge conservation identities hold for arbitrary values of the symmetry-breaking parameter. Finally, for conformal gravity in de Sitter space, we constrain the interactions between the graviton and the partially massless spin-2 field, both in the minimal theory and in the presence of additional scalar or vector matter, finding agreement with the predictions of the corresponding bulk theories.
ER  -