Revisiting the supersymmetric Pati–Salam models from intersecting D6-branes

Tianjun Li; Adeel Mansha; Rui Sun

doi:10.1140/epjc/s10052-021-08839-w

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 82
https://doi.org/10.1140/epjc/s10052-021-08839-w

Regular Article – Theoretical Physics

Revisiting the supersymmetric Pati–Salam models from intersecting D6-branes

Tianjun Li¹^,2, Adeel Mansha¹^,2 and Rui Sun³^,4^c

¹ CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, People’s Republic of China
² School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, 100049, Beijing, People’s Republic of China
³ Yau Mathematical Sciences Center, Tsinghua University, Haidian District, 100084, Beijing, People’s Republic of China
⁴ Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-Gu, 02455, Seoul, Korea

^c sunrui@kias.re.kr

Received: 23 June 2020
Accepted: 23 December 2020
Published online: 26 January 2021

Abstract

Employing novel random and supervised scanning methods, we systematically revisit the construction of three-family $N = 1$ $$N=1$$ supersymmetric Pati–Salam models in Type IIA orientifolds on $T^{6} / (Z_{2} \times Z_{2})$ $\mathbf{T}^6/({\mathbb {Z}}_2\times {\mathbb {Z}}_2)$ with intersecting D6-branes. Arising from the stacks of D6-branes with U(n) gauge symmetries, the Pati–Salam gauge symmetries $S U {(4)}_{C} \times S U {(2)}_{L} \times S U {(2)}_{R}$ $SU(4)_C\times SU(2)_L \times SU(2)_R$ can be broken down to the Standard Model via D-brane splitting as well as D- and F-flatness preserving Higgs mechanism. Also, the hidden sector contains USp(n) branes, which are parallel with the orientifold planes or their $Z_{2}$ ${{\mathbb {Z}}_2}$ images. We find that the Type II T-duality in the previous study is not an equivalent relation in Pati–Salam model building if the model is not invariant under $S U {(2)}_{L}$ $$SU(2)_L$$ and $S U {(2)}_{R}$ $$SU(2)_R$$ exchange, and provides a way to obtain new models. We systematically construct the new models with three families, which usually do not have gauge coupling unification at the string scale. We for the first time construct the Pati–Salam models with at least one wrapping number whose absolute value reaching 5. In particular, for one large wrapping number equal to 5, we find that one kind of model carries more refined gauge couplings, and thus with more possibilities to have approximate gauge coupling unification.

© The Author(s) 2021

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