Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2610.34240

Perturbative Holonomy Potentials and Vacua in Chiral Supersymmetric Gauge Theories

Arash Arabi Ardehali
View original source ↗Read source document ↗Export metadata ↓

Abstract

We establish global control of perturbative D-term data governing semiclassical vacuum sectors in chiral supersymmetric gauge theories on $\mathbb{R}^3\times S^1$. A closed-form, one-loop-exact D-term coefficient, including 4d Fayet--Iliopoulos (FI) parameters, gives a uniformly controlled leading potential away from massless thresholds and fixes local FI and Chern--Simons couplings near them. This allows lifting the 3d Intriligator--Seiberg classification of semiclassical vacua to $\mathbb{R}^3\times S^1$ across the compact holonomy space. The framework is showcased by finding a remarkably rich set of vacuum sectors in a simple abelian model and reproducing on flat space the R-twisted reduction of an $\mathrm{SU}(2)$ Maruyoshi--Song theory to the Gang--Yamazaki theory, first found on $S^3\times S^1$. The examples demonstrate the stakes of global matching: true vacua may lie at nontrivial holonomy even with nonzero threshold values of the Coulomb-slice D-coefficient, and despite vanishing D-coefficient at trivial holonomy.

Explore related subjects

hep-thmath-phmath.MP

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Arash Arabi Ardehali. 2026-10-25. Perturbative Holonomy Potentials and Vacua in Chiral Supersymmetric Gauge Theories. https://arxiv.org/abs/2610.34240

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Charged Black-Hole Binary Evolution at Second Post-Newtonian Order

We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order (2PN), combining Effective Field Theory and classical methods. We compute the NNLO conservative Lagrangian, LO dissipative effects in harmonic and Lorenz gauges, and provide the equations of motion, center-of-mass transformations, and the Lagrangian/Hamiltonian in ADM-type coordinates. We also obtain gauge-invariant expressions for the binding energy, periastron advance in quasi-circular orbits, and the scattering angle in unbound orbits. Our results extend previous analyses and are fully consistent with recent post-Minkowskian findings.

hep-th↗
arXiv2026

Twirled Perfect Tensor Networks: Computationally covariant holographic tensor networks

We define a novel class of tensor networks motivated by the Python's Lunch Conjecture (PLC) in local tensor network models of the black hole interior. We start from the observation that, for extended black brane states with short-range correlations, the PLC predicts a complexity that is smaller than the upper bound for generic short-range correlated states. We argue that the PLC makes implicit assumptions about the fine structure of the relevant tensor networks modeling gravity that render them non-generic. We demonstrate this explicitly in random tensor network models of the python's lunch, where the exponential complexity is not generally controlled by the PLC exponent. We trace the difference with the PLC to a lack of "computational covariance" in random tensor networks: while the PLC is motivated by an ability to arbitrarily decompose space into low-complexity units provided certain basic rules are followed, we show that random tensor networks do not generically have this property. We propose another class of tensor networks built from what we call "twirled perfect tensors" that do satisfy the computational covariance property and have a complexity bounded by the PLC value. We still find a discrete limitation from local postselection that appears to be absent in gravity. Moreover, we show that this class of tensor networks combines desirable holographic features of perfect tensor networks and random tensor networks, for example, it obeys a lattice Ryu-Takayanagi formula for arbitrary boundary subregions. Though motivated by holography, these tensor networks provide a flexible framework with potential applications beyond quantum gravity.

hep-th↗
arXiv2026

A discrete series gauge field at the late-time boundary of $dS_4$

We study the free Maxwell field on the planar patch of four-dimensional de Sitter spacetime ($dS_4$). We review its bulk canonical quantization in the Bunch-Davies vacuum, and we give a representation-theoretic viewpoint by studying the transformation properties of single-particle states under infinitesimal dS transformations. By taking the late-time limit, we identify two late-time operators with scaling dimensions $Δ=1$ (leading) and $Δ=2$ (subleading). We introduce CFT-inspired inner products invariant under the dS group ($SO(4,1)$) for states created by late-time operators acting on the Bunch-Davies vacuum. We explain how the unitary discrete series representations of $SO(4,1)$ associated with the photon are furnished by both operators, in contrast with the Maxwell field on $AdS$ where the $Δ=1$ operator corresponds to a non-normalizable mode. We also explain how the corresponding discrete series representations of $SO(4,1)$ split into a direct sum of representations corresponding to two helicities $+1$ and $-1$. This is achieved by taking advantage of the dS invariance of the self-dual and anti-self-dual sectors of the photon field strength. In our outlook, we draw inspiration from a recent proposal for the microscopic description of $dS_4$ higher-spin gravity where conformal gauge fields in 3 dimensions play a central role, and we investigate a possible connection of the $Δ=1$ late-time operator with a conformal spin-1 gauge field in 3 dimensions.

hep-th↗