Swampland conjectures for type IIB orientifolds with closed-string U(1)s
Martín Enríquez Rojo, Erik Plauschinn
Abstract
A bstract We study the weak gravity conjecture, the swampland distance conjecture and the emergence proposal for $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 orientifold compactifications of type IIB string theory with O3-/O7-planes. We allow for orientifold projections with $$ {h}_{+}^{2,1}\ne 0 $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>h</mml:mi> <mml:mo>+</mml:mo> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msubsup> <mml:mo>≠</mml:mo> <mml:mn>0</mml:mn> </mml:math> which gives rise to closed-string U(1) gauge fields, and our findings show that certain structures present for $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 compactifications are not present for $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1. In particular, assumptions about stability have to be relaxed and we encounter an ambiguity for the emergence of gauge symmetries associated with the $$ {h}_{+}^{2,1} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>h</mml:mi> <mml:mo>+</mml:mo> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> sector.