T-branes and ${\alpha }^{\prime }$-corrections

Abstract

We study ${\alpha }^{\prime }$-corrections in multiple D7-brane configurations with non-commuting profiles for their transverse position fields. We focus on T-brane systems, crucial in F-theory GUT model building. There ${\alpha }^{\prime }$-corrections modify the D-term piece of the BPS equations which, already at leading order, require a non-primitive Abelian worldvolume flux background. We find that ${\alpha }^{\prime }$-corrections may either i) leave this flux background invariant, ii) modify the Abelian non-primitive flux profile, or iii) deform it to a non-Abelian profile. The last case typically occurs when primitive fluxes, a necessary ingredient to build 4d chiral models, are added to the system. We illustrate these three cases by solving the ${\alpha }^{\prime }$-corrected D-term equations in explicit examples, and describe their appearance in more general T-brane backgrounds. Finally, we discuss implications of our findings for F-theory GUT local models.

42 pages

References in corpus (7)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Gaugino Condensates and D-terms from D7-branes
• T-Branes and Monodromy
• De Sitter from T-branes
• T-branes through 3d mirror symmetry
• T-branes and Yukawa Couplings
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