Bremsstrahlung function in 𝒩=2 SCFTs far beyond the supergravity limit
Abstract
We study the Bremsstrahlung function in two four-dimensional 𝒩=2 superconformal gauge theories: the E-theory, with hypermultiplets in the symmetric and antisymmetric representations, and the D-theory, with antisymmetric and fundamental matter. Using matrix model techniques, we derive exact results at arbitrary coupling for the first few orders in the large-N expansion. At leading order, both theories are shown to be planar equivalent to 𝒩=4 Super Yang-Mills, while beyond the planar limit their behavior differs significantly. For the E-theory, we prove that the subleading correction is exactly given by a derivative of the free energy with respect to the coupling. This relation enables us to determine the complete strong-coupling expansion for the Bremsstrahlung function, including non-perturbative contributions, by exploiting known results for the free energy. For the D-theory, the exact expressions have a more intricate structure. We perform a detailed analysis of the strong-coupling regime of the subleading large-N corrections, showing that, in this case, there are expansions in inverse powers of the coupling which truncate after finitely many terms. We further analyze the non-perturbative effects at strong coupling and derive closed-form expressions also for these contributions. These results provide precise predictions for the holographic duals of both theories beyond the supergravity approximation, probing higher orders in the large-N expansion and the full subleading corrections at strong coupling.
Versions
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BibTeX
@misc{lillo2026bremsstrahlung,
title = {{Bremsstrahlung function in $\mathcalN=2$ SCFTs far beyond the supergravity limit}},
author = {Lorenzo De Lillo and Paolo Vallarino},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.24101},
eprint = {2605.24101},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.24101},
}
RIS
TY - UNPB
TI - Bremsstrahlung function in 𝒩=2 SCFTs far beyond the supergravity limit
AU - Lorenzo De Lillo
AU - Paolo Vallarino
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2605.24101
UR - https://arxiv.org/abs/2605.24101
AB - We study the Bremsstrahlung function in two four-dimensional 𝒩=2 superconformal gauge theories: the E-theory, with hypermultiplets in the symmetric and antisymmetric representations, and the D-theory, with antisymmetric and fundamental matter. Using matrix model techniques, we derive exact results at arbitrary coupling for the first few orders in the large-N expansion. At leading order, both theories are shown to be planar equivalent to 𝒩=4 Super Yang-Mills, while beyond the planar limit their behavior differs significantly. For the E-theory, we prove that the subleading correction is exactly given by a derivative of the free energy with respect to the coupling. This relation enables us to determine the complete strong-coupling expansion for the Bremsstrahlung function, including non-perturbative contributions, by exploiting known results for the free energy. For the D-theory, the exact expressions have a more intricate structure. We perform a detailed analysis of the strong-coupling regime of the subleading large-N corrections, showing that, in this case, there are expansions in inverse powers of the coupling which truncate after finitely many terms. We further analyze the non-perturbative effects at strong coupling and derive closed-form expressions also for these contributions. These results provide precise predictions for the holographic duals of both theories beyond the supergravity approximation, probing higher orders in the large-N expansion and the full subleading corrections at strong coupling.
ER -