Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace

Bossard, Guillaume; Ivanov, E.; Smilga, Andrei

doi:10.1007/jhep12(2015)085

Cited by 34 publications

(90 citation statements)

References 76 publications

(171 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The natural off-shell formulation of N = (1, 0) SYM theory is achieved in harmonic N = (1, 0), 6D superspace [13,14] as a generalization of the harmonic N = 2, 4D one [15,16]. This harmonic 6D formalism was further developed in [17] - [20] and [21] One way is the "brute-force" method. One starts with the appropriate dimension N = (1, 0) SYM invariant and then completes it to N = (1, 1) invariant by adding the proper hypermultiplet terms.…”

Section: Motivations and Contentsmentioning

confidence: 99%

“…In a recent paper [21] a new approach to constructing higher-dimension N = (1, 1) invariants was developed. It uses the concept of the on-shell N = (1, 1) harmonic superspace with the double set of the harmonic variables u ± i , u± A , i = 1, 2; A = 1, 2 [22].…”

Section: Motivations and Contentsmentioning

confidence: 99%

“…It uses the concept of the on-shell N = (1, 1) harmonic superspace with the double set of the harmonic variables u ± i , u± A , i = 1, 2; A = 1, 2 [22]. The novel point of the construction in [21] is solving the N = (1, 1) SYM constraints [23,24] through N = (1, 0) superfields. The d = 8 and d = 10 invariants were built in a simple way and an essential difference between the singleand double-trace d = 10 invariants was found.…”

Section: Motivations and Contentsmentioning

confidence: 99%

“…The d = 8 and d = 10 invariants were built in a simple way and an essential difference between the singleand double-trace d = 10 invariants was found. The present contribution is a brief account of the 6D harmonic methods, with the focus on their recent uses in [21].…”

Section: Motivations and Contentsmentioning

confidence: 99%

mentioning

confidence: 99%

See 4 more Smart Citations

Harmonic superspaces forN= (1,1), 6DSYM theory

Ivanov¹

2016

EPJ Web Conf.

Self Cite

View full text Add to dashboard Cite

Abstract. This is a short account of the off-shell N = (1, 0) and on-shell N = (1, 1), 6D harmonic superspace formalism and its applications for the analysis of higher-dimension invariants in N = (1, 1) SYM theory. Motivations and contentsFor last years, there is a permanent interest in the maximally extended (with 16 supercharges) supersymmetric gauge theories in diverse dimensions (see, e.g., [1]),The famous N = 4, 4D SYM theory was the first example of an UV finite theory. Perhaps, it is also completely integrable [2]. The N = (1, 1), 6D SYM is not renormalizable by formal counting (the coupling constant is dimensionful) but it is also expected to possess unique properties. In particular, it respects the so called "dual conformal symmetry", like its 4D counterpart [3]. It provides the effective theory descriptions of some particular low energy sectors of string theory, such as D5-brane dynamics. The full effective action of D5-brane, generalizing the N = (1, 1) SYM action, was conjectured to be of non-abelian Born-Infeld type [4,5]. The N = (1, 1) SYM is anomaly free, as distinct from N = (1, 0) SYM.The N = (1, 1) and N = (1, 0) SYM theories can be viewed as a laboratory for studying N = 8 supergravity and its some lower N analogs, which are also non-renormalizable.The recent perturbative calculations in N = (1, 1) SYM show a lot of unexpected cancelations of the UV divergencies. The theory is UV finite up to 2 loops, while at 3 loops only a single-trace (planar) counterterm of canonical dim 10 is required. The allowed double-trace (non-planar) counterterms do not appear [6] - [8]. Various arguments to explain this were put forward [9] - [12], though the complete understanding is still lacking. Some new non-renormalization theorems could be expected in this connection.The maximal off-shell supersymmetry one can gain in 6D is N = (1, 0) supersymmetry. The natural off-shell formulation of N = (1, 0) SYM theory is achieved in harmonic N = (1, 0), 6D superspace [13,14] as a generalization of the harmonic N = 2, 4D one [15,16]. This harmonic 6D formalism was further developed in [17] -[20] and [21]

show abstract

Section: Motivations and Contentsmentioning

confidence: 99%

Section: Motivations and Contentsmentioning

confidence: 99%

Section: Motivations and Contentsmentioning

confidence: 99%

Section: Motivations and Contentsmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Harmonic superspaces forN= (1,1), 6DSYM theory

Ivanov¹

2016

EPJ Web Conf.

Self Cite

View full text Add to dashboard Cite

show abstract

Implications of Hidden $$\mathscr {N}=(0,1)$$ Super-Symmetry in $$\mathscr {N}=(1,1),\,6D$$ SYM Theory

Ivanov¹

2018

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

One-loop divergences in 6D, N $$ \mathcal{N} $$ = (1, 0) SYM theory

Buchbinder

Ivanov²,

Мерзликин

et al. 2017

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider, in the harmonic superspace approach, the six-dimensional N = (1, 0) supersymmetric Yang-Mills gauge multiplet minimally coupled to a hypermultiplet in an arbitrary representation of the gauge group. Using the superfield proper-time and background-field techniques, we compute the divergent part of the one-loop effective action depending on both the gauge multiplet and the hypermultiplet. We demonstrate that in the particular case of N = (1, 1) SYM theory, which corresponds to the hypermultiplet in the adjoint representation, all one-loop divergencies vanish, so that N = (1, 1) SYM theory is one-loop finite off shell.

show abstract

Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace

Cited by 34 publications

References 76 publications

Harmonic superspaces forN= (1,1), 6DSYM theory

Harmonic superspaces forN= (1,1), 6DSYM theory

Implications of Hidden $$\mathscr {N}=(0,1)$$ Super-Symmetry in $$\mathscr {N}=(1,1),\,6D$$ SYM Theory

One-loop divergences in 6D, N $$ \mathcal{N} $$ = (1, 0) SYM theory

Contact Info

Product

Resources

About