Superpotentials of $\mathcal{N}=1$ SUSY gauge theories

The European Physical Journal C - An introduction to recent advances in computing effective superpotentials of four dimensional $\mathcal{N}=1$ SUSY gauge theories coupled to matter is presented....     

Global symmetries and $$\mathcal{N}=2$$ SUSY

We prove that \(\mathcal{N}=2\) theories that arise by taking n free hypermultiplets and gauging a subgroup of \({\text {Sp}}(n)\), the non-R global symmetry of the free theory, have a remaining global symmetry, which is a direct sum of unitary, symplectic, and special orthogonal factors. This implies that theories that have \({\text {SU}}(N)\) but not \({\text {U}}(N)\) global symmetries, such as Gaiotto’s \(T_N\) theories, are not likely to arise as IR fixed points of RG flows from weakly coupled \({\mathcal{N}=2}\) gauge theories.     

Four-family ${ \mathcal N }=1$ supersymmetric Pati–Salam models from intersecting D6-branes

We investigate the construction of four-family ${ \mathcal N }=1$ supersymmetric Pati–Salam models from Type IIA ${{\mathbb{T}}}^{6}/{{\mathbb{Z}}}_{2}\times {{\mathbb{Z}}}_{2}$ orientifold with intersecting D6-branes. Utilizing the deterministic algorithm introduced in He W, Li T and Sun R (2021 arXiv: hep-th/2112.09632), we obtain 274 types of models with three rectangular tori and distinct gauge coupling relations at string scale, while 6 types of models with two rectangular tori and one tilted torus. In both cases, there exists a class of models with gauge coupling unification at string scale. In particular, for the models with two rectangular tori, one tilted torus and gauge coupling unification, the gaugino condensations are allowed, and thus supersymmetry breaking and moduli stabilization are possible for further phenomenological study.     

F-theory,Seiberg-Witten curves and $ \mathcal{N} = {2} $ dualities

Journal of High Energy Physics - A geometrical form of the supersymmetry conditions for D-branes on arbitrary type II supersymmetric backgrounds is derived, as well as the associated BPS bounds....