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Chen, J
On exact correlation functions of chiral ring operators in 2d N = (2,2) SCFTs via localization
AbstractWe study the extremal correlation functions of (twisted) chiral ring operators via superlocalization in N = (2, 2) superconformal field theories (SCFTs) with central charge c >= 3, especially for SCFTs with Calabi-Yau geometric phases. We extend the method in arXiv: 1602.05971 with mild modifications, so that it is applicable to disentangle operators mixing on S-2 in nilpotent (twisted) chiral rings of 2d SCFTs. With the extended algorithm and technique of localization, we compute exactly the extremal correlators in 2d N = (2, 2) (twisted) chiral rings as non-holomorphic functions of marginal parameters of the theories. Especially in the context of Calabi-Yau geometries, we give an explicit geometric interpretation to our algorithm as the Griffiths transversality with projection on the Hodge bundle over Calabi-Yau complex moduli. We also apply the method to compute extremal correlators in Kahler moduli, or say twisted chiral rings, of several interesting Calabi-Yau manifolds. In the case of complete intersections in toric varieties, we provide an alternative formalism for extremal correlators via localization onto Higgs branch. In addition, as a spinoff we find that, from the extremal correlators of the top element in twisted chiral rings, one can extract chiral correlators in A-twisted topological theories.
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
AffiliationChinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Chen, J. On exact correlation functions of chiral ring operators in 2d N = (2,2) SCFTs via localization[J]. JOURNAL OF HIGH ENERGY PHYSICS,2018(3):65.
APA Chen, J.(2018).On exact correlation functions of chiral ring operators in 2d N = (2,2) SCFTs via localization.JOURNAL OF HIGH ENERGY PHYSICS(3),65.
MLA Chen, J."On exact correlation functions of chiral ring operators in 2d N = (2,2) SCFTs via localization".JOURNAL OF HIGH ENERGY PHYSICS .3(2018):65.
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