The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere

Kallen, Johan; Qiu, Jian; Zabzine, Maxim

doi:10.1007/jhep08(2012)157

Cited by 154 publications

(252 citation statements)

References 53 publications

Supporting

Mentioning

248

Contrasting

Order By: Relevance

“…The present discussion is very similar to the 5D case [4,5] and we refer the reader there for some basic definitions from contact geometry. Using the projectors κ ∧ i v and (1 − κ ∧ i v ) we can decompose the differential form into vertical and horizontal parts…”

Section: Calculation Of Determinantsmentioning

confidence: 92%

See 1 more Smart Citation

Gauge theories with 16 supersymmetries on spheres

Minahan

Zabzine

2015

J. High Energ. Phys.

Self Cite

147

View full text Add to dashboard Cite

We give a unified approach to localization of maximally symmetric gauge theories on spheres, including S 6 and S 7 . The approach follows Pestun's method of dimensionally reducing from 10 dimensional super Yang-Mills. The resulting theories have a reduced R-symmetry which includes an SU(1, 1) subgroup, except in four dimensions where, because of conformal invariance, the full flat-space R-symmetry is maintained, and in seven dimensions where SU(1, 1) is the flat-space R-symmetry. For the case of S 6 and S 7 we discuss the localization of these theories and also present new results for the corresponding matrix models. The matrix models for S 6 and S 7 are qualitatively similar to the matrix models of a vector multiplet on S 4 and S 5 respectively. We also discuss the contributions of instantons in the six and seven dimensional cases.

show abstract

Section: Calculation Of Determinantsmentioning

confidence: 92%

“…In other dimensions the theory is not conformal, but we still include a similar term for the scalar fields 5) where the index I is summed over and ∆ I is the analog of the dimension for φ I . We will see that we need further terms to preserve the supersymmetry.…”

Section: Jhep03(2015)155mentioning

confidence: 99%

Gauge theories with 16 supersymmetries on spheres

Minahan

Zabzine

2015

J. High Energ. Phys.

Self Cite

147

View full text Add to dashboard Cite

show abstract

“…3 The low-energy theory at a generic point of this 5(K − 1)-dimensional moduli space contains (K − 1) free tensor multiplets of the six-dimensional N = (2, 0) supersymmetry. At the origin of the moduli space, the theory is at an interacting fixed point.…”

Section: Jhep03(2015)121mentioning

confidence: 99%

“…Each boundary condition describes a different theory, and the relation between them is much weaker than between families of supersymmetric vacua in flat space or in compact space. 5 Nevertheless, we will refer to the space of 3 There are some subtleties with taking this quotient and decoupling the 'center-of-mass', but they will not be relevant for the purposes of this paper. 4 From the viewpoint of the construction of this theory using type IIB string theory on an orbifold which is locally C 2 /ZK , the modes parameterizing the space (1.3) are a subset of the modes which parameterize the moduli space (1.2) for the theory defined on R 4,1 × S 1 .…”

Section: Adsmentioning

confidence: 99%

“…In particular, on a set of compact curved spaces, the exact -twisted or refined -partition function and supersymmetric indices can be computed by localization techniques applied to various spacetime dimensions [1][2][3]. Comparatively, supersymmetric field theories on non-compact curved spaces were much less studied (see [4][5][6][7][8] for a few examples).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Rigid holography and six-dimensional N = 2 0 $$ \mathcal{N}=\left(2,0\right) $$ theories on AdS5 × S $$ \mathbb{S} $$ 1

Aharony

Berkooz

Rey

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

Field theories on anti-de Sitter (AdS) space can be studied by realizing them as low-energy limits of AdS vacua of string/M theory. In an appropriate limit, the field theories decouple from the rest of string/M theory. Since these vacua are dual to conformal field theories, this relates some of the observables of these field theories on AdS space to a subsector of the dual conformal field theories. We exemplify this 'rigid holography' by studying in detail the six-dimensional N = (2, 0) A K−1 superconformal field theory (SCFT) on AdS 5 ×S 1 , with equal radii for AdS 5 and for S 1 . We choose specific boundary conditions preserving sixteen supercharges that arise when this theory is embedded into Type IIB string theory on AdS 5 × S 5 /Z K . On R 4,1 × S 1 , this six-dimensional theory has a 5(K − 1)-dimensional moduli space, with unbroken five-dimensional SU(K) gauge symmetry at (and only at) the origin. On AdS 5 × S 1 , the theory has a 2(K − 1)-dimensional 'moduli space' of supersymmetric configurations. We argue that in this case the SU(K) gauge symmetry is unbroken everywhere in the 'moduli space' and that this five-dimensional gauge theory is coupled to a four-dimensional theory on the boundary of AdS 5 whose coupling constants depend on the 'moduli'. This involves non-standard boundary conditions for the gauge fields on AdS 5 . Near the origin of the 'moduli space', the theory on the boundary contains a weakly coupled four-dimensional N = 2 supersymmetric SU(K) gauge theory. We show that this implies large corrections to the metric on the 'moduli space'. The embedding in string theory implies that the six-dimensional N = (2, 0) theory on AdS 5 × S 1 with sources on the boundary is a subsector of the large N limit of various four-dimensional N = 2 JHEP03(2015)121quiver SCFTs that remains non-trivial in the large N limit. The same subsector appears universally in many different four-dimensional N = 2 SCFTs. We also discuss a decoupling limit that leads to N = (2, 0) 'little string theories' on AdS 5 × S 1 .

show abstract

Higher‐dimensional gauge theories from string theory

Tomasiello

2016

Fortschritte der Physik

View full text Add to dashboard Cite

We review some recent developments regarding supersymmetric field theories in six and five dimensions. In particular, we will describe the classification of supersymmetric six-dimensional theories with a holographic IIA dual; they are "linear quivers" consisting of chains of many SU (or SO/Sp) gauge groups connected by hypermultiplets and tensor multiplets. We will also describe the wider classification of supersymmetric sixdimensional theories that can be engineered in F-theory; these are also chains, but they include exceptional gauge groups and copies of a more exotic "E-string" theory with a single tensor and E 8 flavor symmetry. Finally we discuss some properties of these theories under compactification to lower dimensions.

show abstract

The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere

Cited by 154 publications

References 53 publications

Gauge theories with 16 supersymmetries on spheres

Gauge theories with 16 supersymmetries on spheres

Rigid holography and six-dimensional N = 2 0 $$ \mathcal{N}=\left(2,0\right) $$ theories on AdS5 × S $$ \mathbb{S} $$ 1

Higher‐dimensional gauge theories from string theory

Contact Info

Product

Resources

About