Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV

Abstract

We analyze four-dimensional (4d) $N=1$ superconformal field theories (SCFTs) obtained as deformations of 4d $N=2$ SCFTs on S-folds by tilting 7-branes. Geometric compatibility with the structures of S-folds constrains the forms of T-branes. As a result, brane monodromies are constrained. We also discuss two 4d $N=1$ theories on probe D3-branes, where the two theories behave identically in IR, but they originate from different theories in UV. Studying the global structure of their geometry is useful in constructing these two theories.

arXiv comment23 pages, added references

References in corpus (94)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Evidence for F-Theory
• N=2 dualities
• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Compactifications of F-Theory on Calabi--Yau Threefolds -- I
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• New N=2 Superconformal Field Theories in Four Dimensions
• GUTs and Exceptional Branes in F-theory - I
• The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• An N=2 Superconformal Fixed Point with E_6 Global Symmetry
• Superconformal Fixed Points with E_n Global Symmetry
• F-Theory at Constant Coupling
• Probing F-theory With Branes
• The Large N Limit of $\mathcal{N}=2,1$ Field Theories from Threebranes in F-theory
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• T-Branes and Monodromy
• F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
• F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
• Codimension-3 Singularities and Yukawa Couplings in F-theory
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• N=1 Deformations and RG Flows of N=2 SCFTs
• Matter and singularities
• N=3 four dimensional field theories
• Large N Superconformal Gauge Theories and Supergravity Orientifolds
• De Sitter from T-branes
• S-folds and 4d N=3 superconformal field theories
• The SO(32) Heterotic String on a K3 Surface
• Toric bases for 6D F-theory models
• Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
• Physics of F-theory compactifications without section
• Probing F-theory With Multiple Branes
• U(1) symmetries in F-theory GUTs with multiple sections
• Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories
• Non-Simply-Connected Gauge Groups and Rational Points on Elliptic Curves
• T-Branes and Geometry
• F-theory on Genus-One Fibrations
• Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications
• Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua
• Bootstrapping $\mathcal{N}=3$ superconformal theories
• Yukawas and discrete symmetries in F-theory compactifications without section
• F-Theory Vacua with Z_3 Gauge Symmetry
• New N=1 Dualities
• The Point of E_8 in F-theory GUTs
• 4d $\mathcal{N}$=2 theories with disconnected gauge groups
• On 4d rank-one N=3 superconformal field theories
• Swampland Bounds on the Abelian Gauge Sector
• F-theory on singular spaces
• Magnetic quivers for rank 1 theories
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• F-theory and Neutrinos: Kaluza-Klein Dilution of Flavor Hierarchy
• General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure
• K3 surfaces, modular forms, and non-geometric heterotic compactifications
• Spectra of D-branes with Higgs vevs
• F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections
• 4d $\mathcal{N}=2$ S-folds
• N = 1 SCFTs from Brane Monodromy
• T-branes as branes within branes
• An Exceptional Sector for F-theory GUTs
• Exploring the landscape of heterotic strings on T^d
• Fluxes in F-theory Compactifications on Genus-One Fibrations
• New N=2 superconformal field theories from S-folds
• Machine Learning Calabi-Yau Four-folds
• T-Branes, String Junctions, and 6D SCFTs
• F-GUTs with Mordell-Weil U(1)'s
• New N=2 superconformal field theories from M/F theory orbifolds
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• 4d $\mathcal{N}=3$ indices via discrete gauging
• Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curves
• String Defects, Supersymmetry and the Swampland
• SUSY enhancement from T-branes
• Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section
• Notes on S-folds and $\mathcal{N}=3$ theories
• Discrete gauge groups in certain F-theory models in six dimensions
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• Gauge symmetries and matter fields in F-theory models without section- compactifications on double cover and Fermat quartic K3 constructions times K3
• Superconformal index of N=3 orientifold theories
• Gauge Groups and Matter Fields on Some Models of F-theory without Section
• Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions
• Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications
• F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• Twin conformal field theories
• Nilpotent Networks and 4D RG Flows
• BPS Partition Functions for S-folds
• On the LHC signatures of $SU(5)\times U(1{)}^{\prime }$ F-theory motivated models
• F-theory and Heterotic Duality, Weierstrass Models from Wilson lines
• More on a dessin on the base: Kodaira exceptional fibers and mutually (non-)local branes
• F-theory models with $U(1)\times {\mathbb{Z}}_2,{\mathbb{Z}}_4$ and transitions in discrete gauge groups
• Supersymmetry Enhancement and Junctions in S-folds
• Half-hypermultiplets and incomplete/complete resolutions in F-theory
• $\frac{1}{2}$ Calabi-Yau 3-folds, Calabi-Yau 3-folds as double covers, and F-theory with U(1)s
• A note on transition in discrete gauge groups in F-theory

Cited by in corpus (1)

• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions