arXiv Open Access 2025

Auxiliary-Field Formalism for Higher-Derivative Boundary CFTs

Gregorio Paci Sergey N. Solodukhin

Lihat Sumber

Abstrak

We study the conformal field theory defined by the fourth-order operator on four-dimensional manifolds with boundaries, reformulating it through an auxiliary field so that the dynamics become second order. Within this framework, we compute the heat kernel of $\Box^2$ in flat space exactly, together with the associated Seeley-DeWitt coefficients for a broad class of non-standard boundary conditions. On curved backgrounds, we further construct the Weyl-invariant completion of the auxiliary field action with boundary terms and identify the corresponding conformal boundary conditions. Finally, we compute the boundary charges in the trace anomaly from the displacement operator correlators.

Topik & Kata Kunci

hep-th

Penulis (2)

Gregorio Paci

Sergey N. Solodukhin

Format Sitasi

APA MLA BibTeX

Paci, G., Solodukhin, S.N. (2025). Auxiliary-Field Formalism for Higher-Derivative Boundary CFTs. https://arxiv.org/abs/2512.18017

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓