Separating invariants and local cohomology by Dufresne, E, Jeffries, J

“…The study of separating invariants is a recent trend in invariant theory. For a finite group acting linearly on a vector space, a separating set is a set of invariants whose elements separate the orbits of G. …”

First-Order Sign-Invariants and Exact Solutions of the Radially Symmetric Nonlinear Diffusion Equations with Gradient-Dependent Diffusivities by Lina Ji, Xiankang Luo, Jiao Zeng, Min Xiao, Yuanhua Meng

“…The sign-invariant theory is used to study the radially symmetric nonlinear diffusion equations with gradient-dependent diffusivities. …”
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Imprinting spiral Higgs waves onto superconductors with vortex beams by Takeshi Mizushima, Masahiro Sato

“…By utilizing the gauge-invariant theory for the superconducting order, we demonstrate that the phase mode is driven to screen the longitudinal magnetic field of the vortex beam, which facilitates the imprinting of the spiral-shaped wavefront and the transfer of OAM to the condensate. …”
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Origin of the Proton Mass by Roberts Craig D.

“…In fact, removing Higgs-boson couplings into QCD, one arrives at a scale invariant theory, which, classically, can’t support any masses at all. …”
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On old relations of Lie theory, classical geometry and gauge theory by Rolf Dahm

“…So PG determines geometrically the scene by representations (reps) and invariant theory without having to force affine restrictions and additional (spinorial or gauge) rep theory.…”
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Stability Functions by Burns, Daniel, Wang, Zuoqin, Guillemin, Victor W.

“…In this article we discuss the role of stability functions in geometric invariant theory and apply stability function techniques to various types of asymptotic problems in the Kahler geometry of GIT quotients. …”
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Graded linearisations by Kirwan, FC, Berczi, Doran, B, Kirwan, FC

“…<p>When the action of a reductive group on a projective variety has a suitable linearisation, Mumford's geometric invariant theory (GIT) can be used to construct and study an associated quotient variety. …”

A dilaton-axion model for string cosmology by J. G. Russo, P. K. Townsend

“…Abstract The generic scale-invariant theory of an axion and a dilaton coupled to gravity in d-dimensions is generalized to a ‘universal’ one-axion model with two dilatons that reproduces itself under consistent dimensional-reduction/truncation. …”
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Cubic surfaces and their invariants: Some memories of Raymond Stora by Michel Bauer

“…This takes us into the realm of (geometric) invariant theory. I review briefly the classical theorems on the structure of the ring of polynomial invariants and illustrate its many facets by looking at a simple example, before turning to the already involved case of cubic surfaces. …”
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Dilaton portal in strongly interacting twin Higgs models by Aqeel Ahmed, Barry M. Dillon, Saereh Najjari

“…Abstract We consider a strongly interacting twin Higgs (SITH) model where an ultraviolet completion of twin Higgs mechanism is realized by a strongly coupled approximately scale invariant theory. Besides the Standard Model (SM) and twin sectors, the low energy effective theory contains a relatively light scalar called a dilaton — the pseudo Goldstone boson of spontaneously broken scale invariance. …”
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Universal moduli of parabolic sheaves on stable marked curves by Schlüeter, D, Dirk Schlüeter

“…Using geometric invariant theory (GIT), universal moduli spaces of semistable parabolic sheaves on stable marked curves are constructed: `universal' indicates that these are moduli spaces of pairs where the underlying marked curve may vary as well as the parabolic sheaf (as in the Pandharipande moduli space for pairs of stable curves and torsion-free sheaves without augmentations).…”

Symmetry of Dressed Photon by Hiroyuki Ochiai

“…We discuss the symmetry on these spaces using classical invariant theory, orbit decomposition of prehomogeneous vector spaces, and compact reductive homogeneous space such as Grassmann manifold and flag variety. …”
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Chiralspin Symmetry and Its Implications for QCD by Leonid Glozman

“…In a local gauge-invariant theory with massless Dirac fermions, a symmetry of the Lorentz-invariant fermion charge is larger than a symmetry of the Lagrangian as a whole. …”
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The geometric νSMEFT: operators and connections by Jim Talbert

“…In addition to enumerating the relevant composite operators and associated connections, we briefly outline the route to calculating all- v ¯ T / Λ $$ {\overline{v}}_T/\Lambda $$ -orders amplitudes, including the flavor-invariant theory required to understand the neutrino mass-eigenstate basis geometrically.…”
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Conformal quantum mechanics as the CFT[subscript 1] dual to AdS[subscript 2] by Chamon, Claudio, Pi, So-Young, Santos, Luiz, Jackiw, Roman W

“…Nevertheless, we show that there are operators in the theory that are not primary, but whose “non-primary character” conspires with the “non-invariance of the vacuum” to give precisely the correlation functions in a conformally invariant theory.…”
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Duality invariant cosmology to all orders in α ′ by Hohm, Olaf, Zwiebach, Barton

“…We determine the most general duality invariant theory to all orders in α′ for the metric, b-field, and dilaton. …”
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Moduli spaces of complexes of coherent sheaves by Gross, J

“…Then, we prove orientability of moduli spaces of (complexes of) coherent sheaves on projective Calabi–Yau 4-folds–this has applications to defining a C-linear enumerative invariant theory for Calabi–Yau 4-folds. This result is based on joint work with Yalong Cao and Dominic Joyce. …”

Turbulence Structure and Dynamics Investigation of Turbulent Swirl Flow in Pipe Using High-Speed Stereo PIV Data by Djordje S. Čantrak, Novica Z. Janković

“…All states of turbulence anisotropy are thoroughly analyzed by applying the invariant theory on HSS PIV results. Vortex dynamics is observed on the basis of the total velocity minima positions and their repetitions. …”
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Passive Acoustic Source Tracking Using Underwater Distributed Sensors by Seung-Yong Chun, Ki-Man Kim

“…According to the waveguide invariant theory, a slope of the interference pattern which is seen in a spectrogram is proportional to range of the acoustic source. …”
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Gauge waves generation and detection in Aharonov–Bohm electrodynamics by F. Minotti, G. Modanese

“…As a consequence, it is possible in principle to detect pure gauge-waves with $${\textbf{E}}={\textbf{B}}=0$$ E = B = 0 , which would be regarded as non-physical in the Maxwell gauge-invariant theory with local current conservation. We discuss in detail the theoretical aspects of this phenomenon and propose an experimental realization of the detectors. …”
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