arXiv subjects

Sam Bennett

Publications and source records attributed to Sam Bennett.

9 recordsLinked to original sources

arXiv2026

Spin(N) Magnetic Quivers

This work introduces new magnetic quivers for $5\mathrm{d}$ $\mathcal N=1$ Spin(N) gauge theories with hypermultiplets in spinor representations at both finite and infinite coupling. Among them are new 3d $\mathcal{N}=4$ theories whose Coulomb and Higgs branches are isolated symplectic singularities, or a product of such spaces. These theories further expand the set of orthosymplectic quiver gauge theories whose Coulomb branch is a single isolated singularity, termed `minimal quivers'. Wreathings and foldings thereof realise quivers for non-simply laced nilpotent orbit closures.

hep-th↗

arXiv2026

Automatically Enhancing the Quality of Android App Bug Reports

Most defects in mobile applications are visually observable on the device screen. Since automated mechanisms for detecting and reporting such defects are often unavailable, users, testers, and developers must manually submit bug reports. However, these reports are frequently incomplete, ambiguous, or inaccurate, often lacking the information needed to understand, reproduce, and diagnose defects. This challenge is particularly prominent for UI-centric defects, where the relevant application behavior is difficult for end users to describe precisely. We formulate automatic bug report enhancement as the problem of connecting user-written bug reports with application execution. We present BugScribe, an LLM-powered approach that links bug report information with app-specific UI execution information to infer and generate accurate, complete, and correct Observed Behavior (OB), Expected Behavior (EB), and Steps to Reproduce (S2Rs). BugScribe employs a component-specific grounding strategy that provides the most relevant context to an LLM for generating each bug report component. To support BugScribe's design and evaluation, we develop a bug report quality model and use it to identify the most effective context for each component. We evaluate BugScribe on 48 bug reports from 26 Android applications with manually constructed ground truth. Our results show that BugScribe generates higher-quality bug report components than the original reports and three LLM-based baselines, improving S2R quality by 44.1%--82.3% and OB/EB quality by 3.8%--35.2%.

cs.SE↗

arXiv2026

Quiver Maps, Nilpotent Orbits and Special Pieces of Nilcones

This paper explores 3d $\mathcal{N}=4$ quiver gauge theories whose moduli spaces represent nilpotent orbits, S\l odowy slices or, more generally, S\l odowy intersections, which span the Special Pieces of nilcones of Classical or Exceptional algebras. We introduce a map between magnetic and electric quivers containing symmetric group actions, such as wreathings (or loops), bouquets, and/or non-simply laced foldings, which can be related to symmetric subgroups of Lusztig's canonical quotient groups for Special Pieces. The map on quivers induces a map on nilpotent orbits that partially resolves the obstruction to quiver dualities presented by the non-involutive nature of the Lusztig Spaltenstein and Barbasch Vogan maps. We use Coulomb and Higgs branch quiver methods complemented by localisation formulae. Some new quivers for intersections within Exceptional nilcones are presented.

hep-th↗

arXiv2026

Quotient Quiver Subtraction -- Classical Groups

Quotient quiver subtraction is a simple combinatorial prescription for gauging Coulomb branch isometry subgroups of 3d $\mathcal{N}=4$ quiver gauge theories. This paper uses Type IIB brane constructions with $\mathrm{O5}$ planes to extend the prescription to gauge $\mathrm{Sp}(n),\;\mathrm{SO}(n)$, and $\mathrm{Sp}(n)$ coupled to a half-hypermultiplet Coulomb branch isometry subgroups of quivers with unitary gauge groups. The gauging procedure is no longer solely a subtraction -- additional steps change the graph type. The method is applied to provide alternative constructions of the Higgs branch of certain SCFTs in higher dimensions.

hep-th↗

arXiv2026

Symmetry Mitosis and Hasse Diagram Diamonds: A Note on Brane Configurations with $\mathrm{ON}^{0}$ Planes

This letter considers 3d $\mathcal{N}=4$ (unitary-)orthosymplectic quiver gauge theories originating from Type IIA and Type IIB brane systems with $\mathrm{ON}^0$ planes. Such theories lie outside the scope of present combinatorial techniques for Coulomb branch symmetry and symplectic stratification. It turns out that the correct prescription involves `symmetry mitosis': a common subset of nodes in two linear balanced chains source \emph{two} factors of a Coulomb branch global symmetry instead of one; the correct Coulomb branch Hasse diagram is obtained by a `doubling' procedure on that computed by naive quiver subtraction. Input from 6d SQFTs and little string theories allows for the construction of various `mitotic' magnetic quivers. The full Higgs branch Hasse diagram of minimal $(E_6,E_6)$ conformal matter is given. Additionally, a new Type I$'$ brane system using eight full D8 branes, negatively charged D6 branes, and $\mathrm{ON}^0$ planes is found corresponding to a product of $\mathrm{Spin}(32)$ instantons on $\mathbb C^2$. The corresponding 6d theory uses $\mathrm{Sp}(-1)$ gauge nodes which have the interpretation of bi-spinor matter of $\mathrm{O}(a)$ and $\mathrm{O}(12-a)$ for $a=0,1,\cdots,12$.

hep-th↗

arXiv2025

Orthosymplectic Quotient Quiver Subtraction II: Framed Quivers

The technique of $\textit{orthosymplectic quotient quiver subtraction}$ is introduced for framed orthosymplectic quivers. This involves subtracting an $\textit{orthosymplectic quotient quiver}$ from a framed orthosymplectic $3d\;\mathcal N=4$ quiver gauge theory which has the effect of gauging an $\mathrm{SO}(n)$ or $\mathrm{Sp}(n)$ subgroup of the IR Coulomb branch global symmetry with complete Higgsing. The orthosymplectic quotient quivers take the form of magnetic quivers for class $\mathcal S$ theories on cylinders with (twisted) maximal punctures of simply laced algebras, similar to the case of unitary quotient quiver subtraction. This gives a set of quotient quivers for all classical groups. Notably, quotient quiver subtraction for framed and unframed orthosymplectic quivers are different procedures.

hep-th↗

arXiv2025

$\mathrm{O}$/$\mathrm{SO}$ Gauge Groups, $BC$ Quivers and $O3$ Planes

D3-/D5-/NS5-brane systems with $O3$ orientifold planes realise 3d $\mathcal{N}=4$ gauge theories with orthogonal and symplectic gauge groups on the D3-brane worldvolume. Such setups have long contained an ambiguity regarding the global form of $D$-type gauge groups. This note offers a partial prescription for reading $\mathrm{O}(2k)$ and $\mathrm{SO}(2k)$ gauge nodes in orthosymplectic quivers using the presence of $\frac{1}{2}$D5-branes on the orientifolds bordering $\frac{1}{2}$NS5-brane intervals spanned by $O3^{-}$ planes. A set of identities are proposed relating the Coulomb branches of generic quivers under a Higgsing that relates $\mathrm{SO}(2k+1)$ and $\mathrm{O}(2k)$ gauge groups. A further prescription is conjectured regarding the action of $\frac{1}{2}$D5-branes on maximal $DC$-chains.

hep-th↗

arXiv2024

Quiver Subtraction on the Higgs Branch

This paper classifies all Higgs branch Higgsing patterns for simply-laced unitary quiver gauge theories with eight supercharges (including multiple loops) and introduces a Higgs branch subtraction algorithm. All possible minimal transitions are given, identifying differences between slices that emerge on the Higgs and Coulomb branches. In particular, the algorithm is sensitive to global information including monodromies and Namikawa-Weyl groups. Guided by symplectic duality, the algorithm further determines the global symmetry on the Coulomb branch, and verifies the exclusion of $C$ type or $F_4$ global symmetry for (simply-laced) unitary quiver gauge theories. The Higgs branches of some unitary quivers are verified to give slices in the nilpotent cones of exceptional simple Lie algebras.

hep-th↗

arXiv2024

Orthosymplectic Quotient Quiver Subtraction

The technique of orthosymplectic quotient quiver subtraction is introduced. This involves subtraction of an orthosymplectic quotient quiver from a $3d\;\mathcal N=4$ orthosymplectic quiver gauge theory which has the effect of gauging subgroups of the IR Coulomb branch global symmetry. Orthosymplectic quotient quivers for $\mathrm{SU}(2),\;\mathrm{SU}(3),\;G_2,$ and $\mathrm{SO}(7)$ are found and derived from Type IIA brane systems involving negatively charged branes for certain $6d\;\mathcal N=(1,0)$ gauge theories. Orthosymplectic quotient quiver subtraction is applied to magnetic quivers for nilpotent orbit closures providing new orthosymplectic counterparts to known unitary quivers. New Coulomb branch constructions are found such as for two height four nilpotent orbit closures of $F_4$ and one of height three. A novel application is to find magnetic quivers and Type IIA brane systems for the $6d\;\mathcal N=(1,0)$ worldvolume theory of two $\frac{1}{2}$M5 branes probing $E_6$ Klein singularity and for $6d\;\mathcal N=(1,0)\;(E_6,E_6)$ conformal matter. These give a perturbative Lagrangian realisation to the dynamics of strongly interacting M5 branes. The magnetic quiver for $6d\;\mathcal N=(1,0)\;(E_6,E_6)$ conformal matter is star-shaped and can also be interpreted as a magnetic quiver for a class $\mathcal S$ theory specified by $\mathrm{SO}(26)$ algebra on a three-punctured sphere.

hep-th↗