A bstract We study three-dimensional\(\mathcal {N}\)= 2 supersymmetric gauge theories on Σ
g× S 1 with a topological twist along Σ g, a genus-g Riemann surface. The twisted …

In this review, we give a pedagogical introduction to a systematic framework for constructing
and analyzing supersymmetric field theories on curved spacetime manifolds. The framework …

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A bstract We consider the sphere free energy F (b; m I) in\(\mathcal {N}\)= 6 ABJ (M) theory
deformed by both three real masses m I and the squashing parameter b, which has been …

This is the introductory chapter to this issue. We review the main idea of the localization
technique and its brief history both in geometry and in QFT. We discuss localization in …

We study partition functions of 3d N= 2 N= 2\rm U (N) U (N) gauge theories on compact
manifolds which are S 1 fibrations over S 2. We show that the partition functions are free field …

Continuing the work of Honda [Phys. Rev. Lett. 116, 211601 (2016)], we study the
perturbative series in general 3d N= 2 supersymmetric Chern-Simons matter theory with U …

A bstract Conformal symmetry relates the metric on AdS 2× S 1 to that of S 3. This implies
that under a suitable choice of boundary conditions for fields on AdS 2 the partition function …

A bstract We solve the Wess-Zumino consistency conditions of\(\mathcal {N}= 1\) off-shell
conformal supergravity in four dimensions and determine the general form of the …

We give a pedagogical review of the computation of Gromov–Witten invariants via
localization in 2D gauged linear sigma models. We explain the relationship between the two …