When a quantum field theory in -spacetime dimensions possesses a global -form symmetry, it can decompose into disjoint unions of other theories. This is reflected in the physical quantities of the theory and can be used to study properties of the constituent theories. In this note we highlight the equivalence between the decomposition of orbifold -models and disconnected McKay quivers. Specifically, we show in numerous examples that each component of a McKay quiver can be given definitive geometric meaning through the decomposition formulae. In addition, we give a purely group and representation theoretic derivation of the quivers for the cases where the trivially acting part of the orbifold group is central. As expected, the resulting quivers are compatible with the case of -models on 'banded' gerbes.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10239396 | PMC |
| http://dx.doi.org/10.1007/s11005-023-01685-9 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Development of a Tremor Detection Algorithm for Use in an Academic Movement Disorders Center.
Sensors (Basel)
July 2024
Jean and Paul Amos Parkinson's Disease and Movement Disorders Program, Department of Neurology, School of Medicine, Emory University, Atlanta, GA 30322, USA.
Tremor, defined as an "involuntary, rhythmic, oscillatory movement of a body part", is a key feature of many neurological conditions including Parkinson's disease and essential tremor. Clinical assessment continues to be performed by visual observation with quantification on clinical scales. Methodologies for objectively quantifying tremor are promising but remain non-standardized across centers.
View Article and Find Full Text PDFSex Differences in Dystonia.
Mov Disord Clin Pract
August 2024
Department of Neurology, Emory University School of Medicine, Atlanta, GA, USA.
Background: Prior studies have indicated that female individuals outnumber male individuals for certain types of dystonia. Few studies have addressed factors impacting these sex differences or their potential biological mechanisms.
Objectives: To evaluate factors underlying sex differences in the dystonias and explore potential mechanisms for these differences.
Multicenter Validation of the Charcot-Marie-Tooth Functional Outcome Measure.
Neurology
February 2024
From the The University of Sydney School of Health Sciences (M.R.M., P.B., K.M.D.C., M.J.M., J.B.), Faculty of Medicine and Health; Sydney Children's Hospitals Network (Randwick and Westmead) (M.R.M., P.B., K.M.C., J.B.), New South Wales, Australia; Department of Neurology (K.J.E., D.N.H.), University of Rochester, NY; Department of Neurology (M.E.S.), Carver College of Medicine, University of Iowa; Centre for Neuromuscular Diseases (M.M.R., G.M.R.), Department of Neuromuscular Diseases, UCL Queen Square Institute of Neurology, London, United Kingdom; Department of Neurology (S.S.S.), Perelman School of Medicine at the University of Pennsylvania, Philadelphia; Fondazione IRCCS Istituto Neurologico Carlo Besta (D.P.), Milan, Italy; and The Children's Hospital of Philadelphia, and Perelman School of Medicine at the University of Pennsylvania (T.E.), Philadelphia.
Background And Objectives: Charcot-Marie-Tooth disease type 1A (CMT1A), caused by a duplication of , is the most common hereditary peripheral neuropathy. For participants with CMT1A, few clinical trials have been performed; however, multiple therapies have reached an advanced stage of preclinical development. In preparation for imminent clinical trials in participants with CMT1A, we have produced a Clinical Outcome Assessment (COA), known as the CMT-Functional Outcome Measure (CMT-FOM), in accordance with the FDA Roadmap to Patient-Focused Outcome Measurement to capture the key clinical end point of function.
View Article and Find Full Text PDFClassifying Tremor Dominant and Postural Instability and Gait Difficulty Subtypes of Parkinson's Disease from Full-Body Kinematics.
Sensors (Basel)
October 2023
Department of Biomedical Informatics, School of Medicine, Emory University, Atlanta, GA 30322, USA.
Characterizing motor subtypes of Parkinson's disease (PD) is an important aspect of clinical care that is useful for prognosis and medical management. Although all PD cases involve the loss of dopaminergic neurons in the brain, individual cases may present with different combinations of motor signs, which may indicate differences in underlying pathology and potential response to treatment. However, the conventional method for distinguishing PD motor subtypes involves resource-intensive physical examination by a movement disorders specialist.
View Article and Find Full Text PDFMcKay quivers and decomposition.
Lett Math Phys
June 2023
Department of Mathematics, Uppsala University, Box 480, 75106 Uppsala, Sweden.
When a quantum field theory in -spacetime dimensions possesses a global -form symmetry, it can decompose into disjoint unions of other theories. This is reflected in the physical quantities of the theory and can be used to study properties of the constituent theories. In this note we highlight the equivalence between the decomposition of orbifold -models and disconnected McKay quivers.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!