Squashing and supersymmetry enhancement in three dimensions

Minahan, Joseph A.; Naseer, Usman; Thull, Charles

doi:10.21468/scipostphys.12.1.025

Cited by 13 publications

(37 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…32 Similarly, a Majorana/Dirac fermion of mass m F is dual to a Majorana/Dirac fermionic operator in the 3d CFT of dimension ∆ F , with ∆ F = |m F | L + 3 2 . 33 In addition, the U(1) R charge in the bulk should match the U(1) R charge of the dual operators in the N = 2 boundary SCFT.…”

Section: Jhep01(2022)171mentioning

confidence: 99%

See 1 more Smart Citation

The holographic contributions to the sphere free energy

Binder

Freedman

Pufu

et al. 2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We study which bulk couplings contribute to the S3 free energy F($$ \mathfrak{m} $$ m ) of three-dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories with holographic duals, potentially deformed by boundary real-mass parameters m. In particular, we show that F($$ \mathfrak{m} $$ m ) is independent of a large class of bulk couplings that include non-chiral F-terms and all D-terms. On the other hand, in general, F($$ \mathfrak{m} $$ m ) does depend non-trivially on bulk chiral F-terms, such as prepotential interactions, and on bulk real-mass terms. These conclusions can be reached solely from properties of the AdS super-algebra, $$ \mathfrak{osp} $$ osp (2|4). We also consider massive vector multiplets in AdS, which in the dual field theory correspond to long single-trace superconformal multiplets of spin zero. We provide evidence that F($$ \mathfrak{m} $$ m ) is insensitive to the vector multiplet mass and to the interaction couplings between the massive vector multiplet and massless ones. In particular, this implies that F($$ \mathfrak{m} $$ m ) does not contain information about scaling dimensions or OPE coefficients of single-trace long scalar $$ \mathcal{N} $$ N = 2 superconformal multiplets.

show abstract

Section: Jhep01(2022)171mentioning

confidence: 99%

“…For the sphere free energy in 3d holographic theories beyond the tree-level supergravity approximation, see for instance[27][28][29][30][31][32][33] for calculations on the field theory side and[34][35][36] for studies of the bulk dual.2 See[45][46][47][48] for analogous studies in four-dimensional N = 4 supersymmetric Yang-Mills theory.…”

mentioning

confidence: 99%

The holographic contributions to the sphere free energy

Binder

Freedman

Pufu

et al. 2022

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…A supersymmetric theory with N = 2 supersymmetry would then preserve the superalgebra su(2|1) × u (1), which contains four real supercharges. For an N = 4 theory, the su(2|1) × u(1) algebra is extended to either su(2|1) × psu(1|1), and therefore it preserves six real supercharges, or to psu(2|2) × u(1), and therefore it preserves eight real supercharges [35].…”

Section: Introductionmentioning

confidence: 99%

“…For N = 2 theories on a squashed three-sphere, the values of the supergravity fields that correspond to a supersymmetric squashed three-sphere were identified in [4]. In the recent work [35], the authors started with N = 2 supergravity in 4d and constructed supersymmetric theories on a squashed three-sphere by performing a circle reduction. They identified a family of backgrounds that generically preserve N = 2 supersymmetry, but for special values of the parameters the symmetry is enhanced to either su(2|1) × psu(1|1) or psu(2|2) × u(1), thus corresponding to 3d N = 4 theories on a squashed three-sphere.…”

Section: Introductionmentioning

confidence: 99%

“…Inspired by the work of [35], we construct N = 4 theories on a squashed three-sphere by starting with N = 4 off-shell conformal supergravity [39][40][41] coupled to matter and giving appropriate expectation values to the fields in the supergravity multiplet. As also found in [35], there are two different backgrounds that preserve su(2|1) × psu(1|1) which are related to each other through mirror symmetry. In particular, the N = 4 conformal supergravity has su(2) H × su(2) C R-symmetry, but our backgrounds preserve only a u(1) H × u(1) C Cartan subalgebra.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

One-Dimensional Sectors From the Squashed Three-Sphere

Bomans,

Pufu

2021

Preprint

View full text Add to dashboard Cite

Three-dimensional N = 4 superconformal field theories contain 1d topological sectors consisting of twisted linear combinations of half-BPS local operators that can be inserted anywhere along a line. After a conformal mapping to a round three-sphere, the 1d sectors are now defined on a great circle of S 3 . We show that the 1d topological sectors are preserved under the squashing of the sphere. For gauge theories with matter hypermultiplets, we use supersymmetric localization to derive an explicit description of the topological sector associated with the Higgs branch. Furthermore, we find that the dependence of the 1d correlation functions on the squashing parameter b can be removed after appropriate rescalings. One can introduce real mass and Fayet-Iliopolous parameters that, after appropriate rescalings, modify the 1d theory on the squashed sphere precisely as they do on the round sphere. In addition, we also show that when a generic 3d N = 4 theory is deformed by real mass parameters, this deformation translates into a universal deformation of the corresponding 1d theory.

show abstract

Large N partition functions of the ABJM theory

Bobev

Hong

Reys

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We study the large N limit of some supersymmetric partition functions of the U(N)k × U(N)−k ABJM theory computed by supersymmetric localization. We conjecture an explicit expression, valid to all orders in the large N limit, for the partition function on the U(1) × U(1) invariant squashed sphere in the presence of real masses in terms of an Airy function. Several non-trivial tests of this conjecture are presented. In addition, we derive an explicit compact expression for the topologically twisted index of the ABJM theory valid at fixed k to all orders in the 1/N expansion. We use these results to derive the topologically twisted index and the sphere partition function in the ’t Hooft limit which correspond to genus g type IIA string theory free energies to all orders in the α′ expansion. We discuss the implications of our results for holography and the physics of AdS4 black holes.

show abstract

Squashing and supersymmetry enhancement in three dimensions

Cited by 13 publications

References 32 publications

The holographic contributions to the sphere free energy

The holographic contributions to the sphere free energy

One-Dimensional Sectors From the Squashed Three-Sphere

Large N partition functions of the ABJM theory

Contact Info

Product

Resources

About