Book/Dissertation / PhD Thesis

PUBDB-2025-01709

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The Higgs Branch of Six Dimensional Supersymmetric Theories: Magnetic Quivers, Geometry, and Hasse Diagrams

Mansi, L. (Corresponding author)DESY* ; Lawrie, C. (Thesis advisor)DESY*

2025
Verlag Deutsches Elektronen-Synchrotron DESY Hamburg

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-01709

Report No.: DESY-THESIS-2025-010

Abstract: In this thesis, we report recent advancements in the understanding of Higgs branch moduli spacesof six-dimensional (1,0) supersymmetric quantum field theories, along with related developments.These progresses have been achieved by exploiting the interplay between geometrical engineeringand techniques in quiver gauge theories, leading to new insights into the Higgs mechanism’s actionin higher-dimensional supersymmetric theories.Paper I: We present an extension of the magnetic quiver technique to a class of non-gravitationalsupersymmetric quantum field theories in six dimensions known as Little String Theories (LSTs).These theories also exhibit a higher-group symmetry structure. Notably, we prove a monotonicitytheorem describing the evolution of κR, a quantity characterizing the higher group symmetry, underpartial Higgsing patterns.Paper II: Specializing to a brane engineering framework, we construct a family of LST modelswith a natural interpretation as an F-theory compactification. We derive the magnetic quiver forits Higgs branch moduli space and study the partial Higgsing pattern using the quiver subtractiontechnique. By leveraging the alternative description of Higgsing as a complex structure deformationwithin the F-theory geometric realization, we establish for the first time a concrete link betweengeometric approaches and algorithm-based predictions from quiver gauge theories.Paper III: Building upon the geometric connections established in the previous paper, we considera class of six-dimensional Super Conformal Field Theories (SCFTs) engineered through F-theorycompactifications and analyze their partial Higgsing patterns. Additionally, we provide a braneconstruction in Type IIA featuring an exotic orbifold for this class, from which we extract themagnetic quiver. We then propose a tentative, case-specific quiver algorithm that successfully eproduces the geometric results.Paper IV: We formalize a quiver algorithm designed to predict the partial Higgsing patterns onthe Coulomb branch of three-dimensional N= 4 quiver gauge theories with special orthogonal andsymplectic gauge groups. The algorithm is benchmarked against predictions derived from geometricconsiderations in the context of Class S theories and F-theory engineering of six-dimensional SCFTs.

Note: Dissertation, Universität Hamburg, 2025

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
3. DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:

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