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.

23 pages, added references

References in corpus (28)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• 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
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• N=1 Deformations and RG Flows of N=2 SCFTs
• Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
• Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications
• Yukawas and discrete symmetries in F-theory compactifications without section
• Magnetic quivers for rank 1 theories
• K3 surfaces, modular forms, and non-geometric heterotic compactifications
• 4d $\mathcal{N}=2$ S-folds
• N = 1 SCFTs from Brane Monodromy
• An Exceptional Sector for F-theory GUTs
• Exploring the landscape of heterotic strings on T^d
• New N=2 superconformal field theories from S-folds
• Machine Learning Calabi-Yau Four-folds
• F-GUTs with Mordell-Weil U(1)'s
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curves
• String Defects, Supersymmetry and the Swampland
• Discrete gauge groups in certain F-theory models in six dimensions
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• On the LHC signatures of $SU(5)\times U(1{)}^{\prime }$ F-theory motivated models
• BPS Partition Functions for S-folds
• More on a dessin on the base: Kodaira exceptional fibers and mutually (non-)local branes
• 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

Cited by in corpus (1)

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