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Exact partition functions on $ \mathbb{R}{{\mathbb{P}}^2} $ and orientifolds

Exact partition functions on $ \mathbb{R}{{\mathbb{P}}^2} $ and orientifolds

We consider gauged linear sigma models (GLSM) on $\mathbb{RP}^2$, obtained from a parity projection of $S^2$. The theories admit squashing deformation, much like GLSM on $S^2$, which allows us to interpret the partition function as the overlap amplitude between the vacuum state and crosscap states. From these, we extract the …