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Geometric engineering is a collection of tools developed to establish dictionaries between local singularities in string theory and (supersymmetric) quantum fields. Extended operators and defects, as well as their higher quantum numbers…

High Energy Physics - Theory · Physics 2024-07-31 Michele Del Zotto , Shani Nadir Meynet , Robert Moscrop

A method of using partial symmetries to distinguish two dimensional symmetry protected topological (SPT) phases of on-site, unitary symmetries is proposed. This novel order parameter takes a wavefunction, such as a ground state of a lattice…

Strongly Correlated Electrons · Physics 2025-07-10 Alex Turzillo , Naren Manjunath , Jose Garre-Rubio

We derive two-loop anomalous dimensions for four-Fermi operators in supersymmetric theories using the effective Kahler potential. We introduce the general forms in generic gauge theories and apply our results to the flavor-changing…

High Energy Physics - Phenomenology · Physics 2017-07-13 Junji Hisano , Takumi Kuwahara , Yuji Omura , Takeki Sato

Quantum field theories can exhibit various generalized symmetry structures, among which higher-group symmetries and non-invertible symmetry defects are particularly prominent. In this work, we explore a new general scenario in which these…

High Energy Physics - Theory · Physics 2025-08-13 Adrien Arbalestrier , Riccardo Argurio , Luigi Tizzano

We investigate bicomplex Hamiltonian systems in the framework of an analogous version of the Schrodinger equation. Since in such a setting three different types of conjugates of bicomplex numbers appear, each is found to define in a natural…

Mathematical Physics · Physics 2015-11-23 Bijan Bagchi , Abhijit Banerjee

When building CP-symmetric models beyond the Standard Model, one can impose CP-symmetry of higher order. This means that one needs to apply the CP-transformation more than two times to get the identity transformation, but still the model is…

High Energy Physics - Phenomenology · Physics 2018-08-13 Igor P. Ivanov , Maxim Laletin

We perform a comprehensive perturbative study of the operator spectrum in multi-scalar theories with hypercubic global symmetry. This includes working out symmetry representations and their corresponding tensor structures. These structures…

High Energy Physics - Theory · Physics 2024-03-22 Alexander Bednyakov , Johan Henriksson , Stefanos R. Kousvos

We complete the visible, hidden, sectorial, and discrete symmetries of Ernst-like potential spaces in stationary, axisymmetric Einstein-Maxwell-Scalar Field (EMSF) and Einstein-ModMax-Scalar Field (EMMSF) theories. In the real potential…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Leonel Bixano , Tonatiuh Matos

The Two-Higgs-doublet model (2HDM) is one of the most studied extensions of the Standard Model. Like the other popular "New Physics" models, it gets more and more constrained by recent experimental progress, especially by the LHC data. For…

High Energy Physics - Phenomenology · Physics 2017-09-28 Otto Eberhardt

CP-odd invariants provide a basis independent way of studying the CP properties of Lagrangians. We propose powerful methods for constructing basis invariants and determining whether they are CP-odd or CP-even, then systematically construct…

High Energy Physics - Phenomenology · Physics 2016-11-04 Ivo de Medeiros Varzielas , Stephen F. King , Christoph Luhn , Thomas Neder

Predictions for LHC physics are worked out for a two-Higgs-doublet model having four generalized CP symmetries. In this maximally-CP-symmetric model (MCPM) the first fermion family is, at tree level, uncoupled to the Higgs fields and thus…

High Energy Physics - Phenomenology · Physics 2010-05-12 M. Maniatis , O. Nachtmann

We discuss the geometric origin of discrete higher form symmetries of quantum field theories in terms of defect groups from geometric engineering in M-theory. The flux non-commutativity in M-theory gives rise to (mixed) 't Hooft anomalies…

High Energy Physics - Theory · Physics 2021-02-03 Federica Albertini , Michele Del Zotto , Iñaki García Etxebarria , Saghar S. Hosseini

Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson, and naturalness problem is addressed by composite top partners. Since the standard model effective field theory…

High Energy Physics - Phenomenology · Physics 2019-10-02 Hao-Lin Li , Ling-Xiao Xu , Jiang-Hao Yu , Shou-Hua Zhu

In this paper we describe the group of symmetries of a two-dimensional continued fraction. As a multidimensional generalization of continued fractions we consider Klein polyhedra. We distinguish two types of symmetries: the Dirichlet-type…

Number Theory · Mathematics 2021-09-01 Oleg N. German , Ibragim A. Tlyustangelov

In this paper, we describe necessary and sufficient conditions for a binormal or complex symmetric operator to have the other property. Along the way, we find connections to the Duggal and Aluthge transforms, and give further properties of…

Functional Analysis · Mathematics 2017-05-16 Caleb Holleman , Thaddeus McClatchey , Derek Thompson

We obtain an explicit classification of all $2\times 2$ real hypergeometric Bochner pairs, ie. pairs $(W(x),\mathfrak{D})$ consisting of a $2\times 2$ real hypergeometric differential operator $\mathfrak{D}$ and a $2\times 2$ weight matrix…

Classical Analysis and ODEs · Mathematics 2019-07-31 W. Riley Casper

Motivated by discrete flavour symmetry models, we analyse Spontaneous CP Violation (SCPV) for potentials involving three or six Higgs fields (both electroweak doublets and singlets) which fall into irreducible triplet representations of…

High Energy Physics - Phenomenology · Physics 2018-01-17 Ivo de Medeiros Varzielas , Stephen F. King , Christoph Luhn , Thomas Neder

Deviations from the standard Higgs sector generated by some new (nonstandard) physics at an energy scale \Lambda could be described by an effective SU(3)_c x SU(2)_L x U(1) invariant non-renormalizable Lagrangian terms of dimension six. The…

High Energy Physics - Phenomenology · Physics 2014-02-12 E. Boos , V. Bunichev , M. Dubinin , Y. Kurihara

Let (M,g) be an arbitrary pseudo-Riemannian manifold of dimension at least 3. We determine the form of all the conformal symmetries of the conformal (or Yamabe) Laplacian on (M,g), which are given by differential operators of second order.…

Mathematical Physics · Physics 2014-02-17 Jean-Philippe Michel , Fabian Radoux , Josef Šilhan

In this work, we reconsider the study of 2D materials involving double lattice structures associated with periodic polygons. In tessellated periodic representation, it appears two periodic polygons of $k$ sides of unequal side lengths at…

Materials Science · Physics 2019-05-30 Adil Belhaj , Salah Eddine Ennadifi