Analytic continuation of dimensions in supersymmetric localization

Gorantis, Anastasios; Minahan, Joseph A.; Naseer, Usman

doi:10.1007/jhep02(2018)070

Cited by 14 publications

(30 citation statements)

References 32 publications

(86 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One may potentially worry about the violation of so(7) symmetry for the auxilary fields K m by the localizing term due to the opposite signs in front of K 2,3,4 and K 1,5,6,7 in (7.26). 46 In our case, since δ 2 ε does not induce any so (7) rotation, this does not spoil the δ ε invariance of the localizing term.…”

Section: Comments On Reality Conditionsmentioning

confidence: 72%

See 1 more Smart Citation

Chern-Simons theory from M5-branes and calibrated M2-branes

Pufu

Wang

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

We study a sector of the 5d maximally supersymmetric Yang-Mills theory on S 5 consisting of 1/8-BPS Wilson loop operators contained within a great S 3 inside S 5 . We conjecture that these observables are described by a 3d Chern Simons theory on S 3 , analytically continued to a pure imaginary Chern-Simons level. Therefore, the expectation values of these 5d Wilson loops compute knot invariants. We verify this conjecture in the weakly-coupled regime from explicit Feynman diagram computations. At strong coupling, these Wilson loop operators lift to 1/8-BPS surface operators in the 6d (2, 0) theory on S 1 ×S 5 . Using AdS/CFT, we show that these surface operators are dual to M2-branes subject to certain calibration conditions required in order to preserve supersymmetry. We compute the renormalized action of a large class of calibrated M2-branes and obtain a perfect match with the field theory prediction. Finally, we present a derivation of the 3d Chern-Simons theory from 5d super-Yang-Mills theory using supersymmetric localization, modulo a subtle issue that we discuss.

show abstract

Section: Comments On Reality Conditionsmentioning

confidence: 72%

“…These equations determine ν m in terms of ε up to an so (7) transformation under which the ν m and the K m transform as a seven-dimensional vector.…”

Section: D Msym With Off-shell Qmentioning

confidence: 99%

Chern-Simons theory from M5-branes and calibrated M2-branes

Pufu

Wang

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…5 The main difference between 3d and 4d for this strategy is that in 3d the partition function is a function of three masses, while in 4d it's a function of just one mass, but also of λ that couples to the marginal operator in the stress tensor multiplet, which does not appear in 3d. See however [47] for a proposal for the S 4 partition function of the N = 1 * theory, which is a function of three masses and λ. stress tensor multiplet and S 2 S 2 P P can be related to S 2 S 2 S 2 S 2 using Ward identities that we derive following [31]. 6 Putting these ingredients together allows us to use localization to determine B 4 4 , B 5 4 , and a linear combination of B 6 6,1 and B 6 4 , namely 7B 6 4 + 16B 6 6,1 .…”

Section: Introductionmentioning

confidence: 99%

“…One could also consider taking various mass and gauge coupling derivatives of the N = 1 * partition function on S 4 , for which an expression was proposed in[47] 26. In 3d, first steps of this kind were taken for the maximally supersymmetric ABJM theory, where bootstrap bounds[65,88] have been successfully matched to both localization[89] and large N Mellin space calculations[29,30].…”

mentioning

confidence: 99%

$$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization

Binder

Chester

Pufu

et al. 2019

J. High Energ. Phys.

142

428

View full text Add to dashboard Cite

We compute 1/λ corrections to the four-point functions of half-BPS operators in SU (N ) N = 4 super-Yang-Mills theory at large N and large 't Hooft coupling λ = g 2 YM N using two methods. Firstly, we relate integrals of these correlators to derivatives of the mass deformed S 4 free energy, which was computed at leading order in large N and to all orders in 1/λ using supersymmetric localization. Secondly, we use AdS/CFT to relate these 1/λ corrections to higher derivative corrections to supergravity for scattering amplitudes of Kaluza-Klein scalars in IIB string theory on AdS 5 × S 5 , which in the flat space limit are known from worldsheet calculations. These two methods match at the order corresponding to the tree level R 4 interaction in string theory, which provides a precise check of AdS/CFT beyond supergravity, and allow us to derive the holographic correlators to tree level D 4 R 4 order. Combined with constraints from [1], our results can be used to derive CFT data to one-loop D 4 R 4 order. Finally, we use AdS/CFT to fix these correlators in the limit where N is taken to be large while g YM is kept fixed. In this limit, we present a conjecture for the small mass limit of the S 4 partition function that includes all instanton corrections and is written in terms of the same Eisenstein series that appear in the study of string theory scattering amplitudes.

show abstract

“…Following his seminal work, supersymmetric theories on spheres of dimension d ≤ 7 with different number of supercharges have been studied in [4][5][6][7][8][9]. A uniform approach for perturbative supersymmetric gauge theories on S d was given in [10,11].…”

Section: Introductionmentioning

confidence: 99%

Gauge theories on spheres with 16 supercharges and non-constant couplings

Minahan¹,

Naseer²

2019

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

We construct a class of theories with 16 supersymmetries on spheres of dimension nine and less.The gauge coupling and mass terms for the scalar fields depend on the polar angle away from the north pole. Assuming finite coupling on the north pole, this leads to zero coupling at the south pole for d > 4 and infinite coupling at the south pole for d < 4. The underlying supersymmetry algebra of these theories is shown to be isomorphic to the Poincaré superalgebra in d-dimensions. We also give a localization procedure which leads to nontrivial results for d = 2.

show abstract

Analytic continuation of dimensions in supersymmetric localization

Cited by 14 publications

References 32 publications

Chern-Simons theory from M5-branes and calibrated M2-branes

Chern-Simons theory from M5-branes and calibrated M2-branes

$$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization

Gauge theories on spheres with 16 supercharges and non-constant couplings

Contact Info

Product

Resources

About