New “gauge” theories in six dimensions

Witten, Edward

doi:10.4310/atmp.1998.v2.n1.a3

Cited by 61 publications

(115 citation statements)

References 22 publications

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“…The result is hence an SU (N ) gauge theory on S 3 /Z p for each q. This is similar to an observation of Witten for M -theory on similar quotients of R 4 × S 1 [69].…”

Section: Open-closed Dualitysupporting

confidence: 84%

New $G_2$-conifolds in $M$-theory and their Field Theory Interpretation

Acharya¹,

Foscolo²,

Najjar³

et al. 2020

Preprint

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A recent theorem of Foscolo-Haskins-Nordström [1] which constructs complete G 2 -holonomy orbifolds from circle bundles over Calabi-Yau cones can be utilised to construct and investigate a large class of generalisations of the M -theory flop transition. We see that in many cases a UV perturbative gauge theory appears to have an infrared dual described by a smooth G 2 -holonomy background in M -theory. Various physical checks of this proposal are carried out affirmatively.

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“…The result is hence an SU (N ) gauge theory on S 3 /Z p for each q. This is similar to an observation of Witten for M -theory on similar quotients of R 4 × S 1 [69].…”

Section: Open-closed Dualitysupporting

confidence: 84%

New $G_2$-conifolds in $M$-theory and their Field Theory Interpretation

Acharya¹,

Foscolo²,

Najjar³

et al. 2020

Preprint

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“…It would be nice to confirm the string computation from the viewpoint of the six-dimensional field theory. For this purpose, it could be useful to work with the matrix theory formulation which was proposed in [12].…”

Section: Discussionmentioning

confidence: 99%

“…Clearly, the low energy interactions dominated by the F 2 term cannot distinguish the different (p, q) theories with the same low-energy gauge group. However, it was argued in [12] that the theta term in (2.1), which is a consequence of π 5 (SU(s)) = Z, s > 2, is an observable that distinguishes the low-energy gauge theories. Our aim is to gain some information on the spectrum of these theories.…”

Section: Field Theorymentioning

confidence: 99%

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Penrose limit and six-dimensional gauge theories

Sakai

2002

Physics Letters B

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We study the Penrose limit of the (p, q) fivebranes supergravity background. We consider the different phases of the worldvolume field theory and their weakly coupled descriptions. In the Penrose limit we get a solvable string theory and compute the spectrum. It corresponds to states of the six-dimensional worldvolume theory with large energy and large U(1) charge. We comment on the RG behavior of the gauge theory.

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“…The background (2.1) will then provide the supergravity description of "New" six-dimensional gauge theory [37] (see also [38]). The supergravity description of new gauge theory has been studied in [39].…”

Section: Jhep09(2002)031mentioning

confidence: 99%

Free-electron laser: advancement into the X-ray region

Рагозин

Sobelman

2004

Phys.-Usp.

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We study the Penrose limit of ODp theory. There are two different PPwave limits of the theory. One of them is a ten dimensional PP-wave and the other a four dimensional one. We observe the later one leads to an exactly solvable background for type-II string theories where we have both NS and RR fields. The Penrose limit of different branes of string (M-theory) in a nonzero B/E field (C field) is also studied. These backgrounds are conjectured to provide dual description of NCSYM, NCOS and OM theory. We see that under S-duality the subsector of NCSYM 4 and NCOS 4 which are dual to the corresponding string theory on PP-wave coming from NCYM 4 and NCOS 4 map to each other for given null geodesic.Keywords: Superstring Vacua, Penrose limit and pp-wave background.Recently, PP-wave backgrounds in string theory have attracted much interest, since they possess several interesting features, such as exact solvability in Green-Schwarz formalism etc.. In fact an interesting observation in [1] is that type-IIB string theory on the 10-dimensional PP-wave background with constant five-form RR field strength is exactly solvable. Moreover it has also been shown [2] that this background is a maximally supersymmetric solution of type-IIB supergravity.Another interesting fact is that such a D = 10 maximally supersymmetric PP-wave background can be obtained as a Penrose limit of another one with maximal supersymmetry, namely AdS 5 × S 5 [3, 4]. On the other hand type-IIB string theory on AdS 5 × S 5 is believed to be dual to the N = 4 SYM theory in four dimensions. Indeed it has been shown [4] that taking Penrose limit of AdS 5 × S 5 has a corresponding limit for the gauge theory as well. By making use of this fact the authors of [4] have been able to identify the excited string states with a class of gauge invariant operators in the large-N limit of N = 4 SYM SU(N ) theory in four dimensions. Such an identification is very difficult for AdS 5 × S 5 itself mainly because the string theory in this maximally supersymmetric background has not proved to be exactly solvable yet.Considering the fact that the string theory on a PP-wave background, obtained by taking the Penrose limit of AdS 5 × S 5 , is exactly solvable one might wonder if this is the case for other gravity backgrounds of string theory. Therefore it would be important to study the Penrose limit of different known supergravity solution in string theory. Actually soon after [4], several papers appeared discussing Penrose limit of different gravity solutions in string theory [5] (see also [6]).Recently the Penrose limit of supergravity solutions which are supposed to be dual to some non-local theories have been studied in [7], where the authors considered little string

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New “gauge” theories in six dimensions

Cited by 61 publications

References 22 publications

New $G_2$-conifolds in $M$-theory and their Field Theory Interpretation

New $G_2$-conifolds in $M$-theory and their Field Theory Interpretation

Penrose limit and six-dimensional gauge theories

Free-electron laser: advancement into the X-ray region

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