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We propose a direct test of the existence of gauge duals for nonsupersymmetric asymptotically free gauge theories developing an infrared fixed point by computing the S-parameter in the electric and dual magnetic description. In particular…

High Energy Physics - Phenomenology · Physics 2010-12-28 Francesco Sannino

In these lectures I review the general structure of electric--magnetic duality rotations in every even space--time dimension. In four dimensions, which is my main concern, I discuss the general issue of symplectic covariance and how it…

High Energy Physics - Theory · Physics 2025-03-12 Pietro Fré

We present a summary of the progress made in the last few years on topological quantum field theory in four dimensions. In particular, we describe the role played by duality in the developments which led to the Seiberg-Witten invariants and…

High Energy Physics - Theory · Physics 2007-05-23 J. M. F. Labastida , Carlos Lozano

The dilaton is investigated from first principles in an asymptotically free Gross-Neveu-Yukawa theory in three dimensions. In the limit of many fermion flavours, the theory features a finite line of strongly interacting fixed points with…

High Energy Physics - Theory · Physics 2025-02-04 Charlie Cresswell-Hogg , Daniel F. Litim , Roman Zwicky

We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the…

Metric Geometry · Mathematics 2026-01-01 Jonathan M. Fraser , Jeremy T. Tyson

We construct supergravity solutions for Dp-branes at orbifold points. The solutions are written in terms of a single function, which is the solution to a nonlinear differential equation. The near horizon limits of these solutions are dual,…

High Energy Physics - Theory · Physics 2009-10-31 A. Rajaraman

The general structure of the conformal anomaly and the dilaton's effect to it are analysed. First we give a new formal proof of the statement that the conformal anomaly, in the theory which is conformal invariant at the classical level, is…

High Energy Physics - Theory · Physics 2007-05-23 Shoichi Ichinose

The act of implementing non-Abelian duality in two dimensional sigma models results unavoidably in an additional reducible symmetry. The Batalin-Vilkovisky formalism is employed to handle this new symmetry. Valuable lessons are learnt here…

High Energy Physics - Theory · Physics 2009-10-30 P. J. Hodges , Noureddine Mohammedi

Recent work has proposed a method for imposing T-duality on the metric, $B$-field, and dilaton of the classical effective action of string theory without using Kaluza-Klein reduction. Specifically, the $D$-dimensional effective action…

High Energy Physics - Theory · Physics 2023-10-17 Mohammad R. Garousi

An attempt is made to formulate Gaiotto's S-duality relations in an explicit quantitative form. Formally the problem is that of evaluation of the Racah coefficients for the Virasoro algebra, and we approach it with the help of the matrix…

High Energy Physics - Theory · Physics 2012-08-21 D. Galakhov , A. Mironov , A. Morozov

We calculate the optical spectra of silicon and germanium in the adiabatic time-dependent density functional formalism, making use of kinetic energy density-dependent (meta-GGA) exchange-correlation functionals. We find excellent agreement…

Strongly Correlated Electrons · Physics 2011-11-16 V. U. Nazarov , G. Vignale

We construct a class of bottom-up holographic models with physics comparable to the one expected from QCD in the Veneziano limit of large N_f and N_c with fixed x = N_f/N_c. The models capture the holographic dynamics of the dilaton (dual…

High Energy Physics - Phenomenology · Physics 2015-06-03 Matti Jarvinen , Elias Kiritsis

We study the structure constants of the ${\cal N}=1$ beta deformed theory perturbatively and at strong coupling. We show that the planar one loop corrections to the structure constants of single trace gauge invariant operators in the scalar…

High Energy Physics - Theory · Physics 2014-05-13 Justin R. David , Abhishake Sadhukhan

We study the path integral of a twisted $N=2$ supersymmetric Yang-Mills theory coupled with hypermultiplet having the bare mass. We explicitly compute the topological correlation functions for the $SU(2)$ theory on a compact oriented simply…

High Energy Physics - Theory · Physics 2008-02-03 Seungjoon Hyun , Jaemo Park , Jae-Suk Park

Using a simple solvable model, i.e., Higgs--Yukawa system with an infinite number of flavors, we explicitly demonstrate how a dimensional continuation of the $\beta$ function in two dimensional MS scheme {\it fails\/} to reproduce the…

High Energy Physics - Theory · Physics 2009-10-30 Nobuaki Nagao , Hiroshi Suzuki

We consider a 2-dimensional conformal field theory (CFT) obtained from twisted compactification of the 4-dimensional N=4 super Yang-Mills theory on a Riemann surface with boundary. We find the boundary conditions to preserve some of the…

High Energy Physics - Theory · Physics 2015-03-25 Koichi Nagasaki , Satoshi Yamaguchi

We define a new dilaton Weyl multiplet of ${\mathcal{N}}=2$ conformal supergravity in four dimensions. This is constructed by reinterpreting the equations of motion of an on-shell hypermultiplet as constraints that render some of the fields…

High Energy Physics - Theory · Physics 2024-09-24 Gregory Gold , Saurish Khandelwal , William Kitchin , Gabriele Tartaglino-Mazzucchelli

We propose a new chiral model of metastable supersymmetry breaking in the conformal window via chiral/nonchiral Seiberg duality, which is focused on Spin(7)/SU(N_f-4) duality in this letter. Following the approach of…

High Energy Physics - Theory · Physics 2011-11-22 Nobuhito Maru

Duality in the integrable systems arising in the context of Seiberg-Witten theory shows that their tau-functions indeed can be seen as generating functions for the mutually Poisson-commuting hamiltonians of the {\em dual} systems. We…

High Energy Physics - Theory · Physics 2009-10-31 A. Marshakov

We discuss several aspects of superconformal field theories in four dimensions (CFT_4), in the context of electric-magnetic duality. We analyse the behaviour of anomalous currents under RG flow to a conformal fixed point in N=1, D=4…

High Energy Physics - Theory · Physics 2009-10-30 D. Anselmi , M. Grisaru , A. Johansen