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It is possible to understand whether a given BPS spectrum is generated by a relevant deformation of a 4D N=2 SCFT or of an asymptotically free theory from the periodicity properties of the corresponding quantum monodromy. With the aim of…

High Energy Physics - Theory · Physics 2017-03-17 Michele Cirafici , Michele Del Zotto

We introduce a new perspective and a generalization of spectral networks for 4d $\mathcal{N}=2$ theories of class $\mathcal{S}$ associated to Lie algebras $\mathfrak{g} = \textrm{A}_n$, $\textrm{D}_n$, $\textrm{E}_{6}$, and…

High Energy Physics - Theory · Physics 2016-12-14 Pietro Longhi , Chan Y. Park

We present a novel supersymmetric Lorentz-covariant matrix model for M2-branes in M-theory, constructed via the framework of Restricted Volume-Preserving Deformations (RVPD) which is a residual symmetry from gauge-fixed volume-preserving…

High Energy Physics - Theory · Physics 2025-09-12 So Katagiri

We relate a number of results in the theory of flat surfaces to BPS spectra of a class of 4d $\mathcal{N}=2$ supersymmetric quantum field theories arising from M5 branes wrapped on Riemann surfaces -- $A_1$ class S theories. In particular,…

High Energy Physics - Theory · Physics 2019-12-25 Shamit Kachru , Richard Nally , Arnav Tripathy , Max Zimet

The behaviour of supersymmetric D-branes under deformations of the closed string background is studied using world-sheet methods. We explain how lines of marginal stability and obstructions arise from this point of view. We also show why…

High Energy Physics - Theory · Physics 2010-01-15 Ilka Brunner , Matthias R. Gaberdiel , Stefan Hohenegger , Christoph A. Keller

We consider the maximal supersymmetric pure Yang-Mills theories on six and eight dimensional space. We determine, in a systematic way, all the possible fractions of supersymmetry preserved by the BPS states and present the corresponding…

High Energy Physics - Theory · Physics 2016-09-06 Dongsu Bak , Kimyeong Lee , Jeong-Hyuck Park

The investigation of strings and M-theory involves the understanding of various BPS solitons which in a certain approximation can be thought of as solutions of ten- and eleven-dimensional supergravity theories. These solitons have a brane…

Differential Geometry · Mathematics 2007-05-23 G. Papadopoulos

The N=1 superspace generalization of the 3-brane action in 6 dimensions with partially broken N=2 supersymmetry can be constructed using N=1 chiral, complex linear, or real linear superfields. The physical scalars of these multiplets give…

High Energy Physics - Theory · Physics 2009-10-31 F. Gonzalez-Rey , I. Y. Park , M. Rocek

We derive the BPS equations satisfied by lump solitons in $(2+1)$-dimensional sigma models with toric 8-dimensional hyper-K\"ahler (${HK}_8$) target spaces and check they preserve 1/2 of the supersymmetry. We show how these solitons are…

High Energy Physics - Theory · Physics 2009-11-10 Ruben Portugues

We study the BPS index for the four-dimensional rank-one N=2 superconformal field theories H_0, H_1, H_2, E_6, E_7, E_8. We consider compactifications of the E-string theory on T^2 in which these theories arise as low energy limits. Using…

High Energy Physics - Theory · Physics 2016-08-03 Kazuhiro Sakai

We investigate the holographic realization of topological operators for continuous non-Abelian symmetries in quantum field theories. As a concrete case study, we focus on Type IIB string theory on $AdS_5 \times S^5$ which admits an $SO(6)$…

High Energy Physics - Theory · Physics 2025-10-23 Ibrahima Bah , Federico Bonetti , Mufaro Chitoto , Enoch Leung

We study the eleven-dimensional supergravity and the classical solutions corresponding to M2-branes ending on M5-branes. We obtain the generic BPS configuration representing two sets of parallel M5-branes with (1+1) commonly longitudinal…

High Energy Physics - Theory · Physics 2009-10-31 Kazuo Hosomichi

We study supersymmetric gauge theories in five dimensions, using their relation to the K-theory of the moduli spaces of torsion free sheaves. In the spirit of the BPS/CFT correspondence the partition function and the expectation values of…

Representation Theory · Mathematics 2013-08-13 Erik Carlsson , Nikita Nekrasov , Andrei Okounkov

A global superalgebra with 32 supercharges and all possible central extensions is studied in order to extract some general properties of duality and hidden dimensions in a theory that treats $p$-branes democratically. The maximal number of…

High Energy Physics - Theory · Physics 2009-10-30 Itzhak Bars

We construct 3d, N=2 supersymmetric gauge theories by considering a one-parameter `R-flow' of 4d, N=2 theories, where the central charges vary while preserving their phase order. Each BPS state in 4d leads to a BPS particle in 3d, and thus…

High Energy Physics - Theory · Physics 2011-10-11 Sergio Cecotti , Clay Cordova , Cumrun Vafa

We study the embedding of flat BPS 3-branes in five dimensional N=2 supergravity theory. We derive the branes' dynamical equations as well as general expressions for the hypermultiplet fields then focus on a single brane and study its time…

High Energy Physics - Theory · Physics 2015-09-08 Moataz H. Emam

We present BPS black hole solutions in a four-dimensional $\mathcal{N}=2$ supergravity with an abelian dyonic gauging of the universal hypermultiplet moduli space. This supergravity arises as the SU(3)-invariant subsector in the reduction…

High Energy Physics - Theory · Physics 2017-10-25 Adolfo Guarino , Javier Tarrio

We report on duality invariant constraints, which allow a classification of BPS black holes preserving different fractions of supersymmetry. We then relate this analysis to the orbits of the exceptional groups $E_{6(6)}, E_{7(7)}$, relevant…

High Energy Physics - Theory · Physics 2015-06-26 S. Ferrara

We study how charges of global symmetries that are manifest in the ultra-violet definition of a theory are realized as topological charges in its infra-red effective theory for two-dimensional theories with $\mathcal{N}=(2,2)$…

High Energy Physics - Theory · Physics 2015-08-05 Daniel S. Park

We present a survey of the computation of the BPS spectrum of a general four-dimensional N=2 supersymmetric gauge theory in terms of the Representation Theory of quivers with superpotential. We focus on SYM with a general gauge group G…

High Energy Physics - Theory · Physics 2014-12-22 Sergio Cecotti