SNorbifolds and string interactions

Jevicki, Antal; Yoon, Junggi

doi:10.1088/1751-8113/49/20/205401

“…. , n, where i iN i = N. By the DMVV formula (2.5), the R-R partition function factorises into n components pertaining to the different cycle lengths 35) and correspondingly for the NS-NS sector. Plugging in our results from above, we obtain…”

Section: Sectors Of Arbitrary Twistmentioning

confidence: 99%

The symmetric orbifold of N = 2 $$ \mathcal{N}=2 $$ minimal models

Gaberdiel

¹

,

Kelm

²

2016

J. High Energ. Phys.

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The large level limit of the N = 2 minimal models that appear in the duality with the N = 2 supersymmetric higher spin theory on AdS 3 is shown to be a natural subsector of a certain symmetric orbifold theory. We study the relevant decompositions in both the untwisted and the twisted sector, and analyse the structure of the higher spin representations in the twisted sector in some detail. These results should help to identify the string background of which the higher spin theory is expected to describe the leading Regge trajectory in the tensionless limit.

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“…A non-exhaustive list of examples includes instanton calculations [3], black hole physics [4], matrix string theory [5][6][7][8], and AdS/CFT correspondence [9][10][11][12][13][14][15][16][17][18][19][20][21]. Undoubtedly, on of the most exciting application of the orbifolds is in the context of the gauge/gravity duality [9,[22][23][24], with lots of recent activity [25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Comments on the SN orbifold CFT in the large N-limit

Roumpedakis

¹

2018

J. High Energ. Phys.

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We elaborate on various aspects of the conformal field theory of the symmetric orbifold. We collect various results that have appeared in the literature, and we present a coherent picture of the operator content of this CFT, relying on the orbifold extension of the Virasoro algebra. We then focus on the large N -limit of this theory, discuss the OPE of two twist operators, and find various selection rules. We review how to calculate four-point functions of twist operators, and we write down the most general four-point function in the covering space for large N . We show that it depends on some functions that obey a set of algebraic equations, that resemble the scattering equations. Finally, we provide a recipe on how to calculate correlation functions with insertions of the orbifold Virasoro generators.

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“…A nonexhaustive list of examples includes instanton calculations [3], black hole physics [4], matrix string theory [5][6][7][8], and AdS/CFT correspondence [9][10][11][12][13][14][15][16][17][18][19][20][21]. Undoubtedly, on of the most exciting application of the orbifolds is in the context of the gauge/gravity duality [9,[22][23][24], with lots of recent activity [25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Comments on the $S_N$ orbifold CFT in the large $N$-limit

Roumpedakis

2018

Preprint

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We elaborate on various aspects of the conformal field theory of the symmetric orbifold. We collect various results that have appeared in the literature, and we present a coherent picture of the operator content of this CFT, relying on the orbifold extension of the Virasoro algebra. We then focus on the large N -limit of this theory, discuss the OPE of two twist operators, and find various selection rules. We review how to calculate four-point functions of twist operators, and we write down the most general four-point function in the covering space for large N . We show that it depends on some functions that obey a set of algebraic equations, that resemble the scattering equations. Finally, we provide a recipe on how to calculate correlation functions with insertions of the orbifold Virasoro generators.

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S_Norbifolds and string interactions

Cited by 9 publications

References 38 publications

The symmetric orbifold of N = 2 $$ \mathcal{N}=2 $$ minimal models

The symmetric orbifold of N = 2 $$ \mathcal{N}=2 $$ minimal models

Comments on the SN orbifold CFT in the large N-limit

Comments on the $S_N$ orbifold CFT in the large $N$-limit

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