Remarks on static three-quark potentials, string breaking and gauge/string duality

Oleg Andreev

doi:10.1103/physrevd.104.026005

Renormalized Polyakov Loop in the Deconfined Phase of SU(N) Gauge Theory and Gauge-String Duality

Physical Review Letters ◽

10.1103/physrevlett.102.212001 ◽

2009 ◽

Vol 102 (21) ◽

Cited By ~ 37

Author(s):

Oleg Andreev

Keyword(s):

Gauge Theory ◽

String Duality ◽

Polyakov Loop

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Partition function and open/closed string duality in type IIA string theory on a pp-wave

Nuclear Physics B ◽

10.1016/j.nuclphysb.2003.07.015 ◽

2003 ◽

Vol 669 (1-2) ◽

pp. 78-102 ◽

Cited By ~ 7

Author(s):

Hyeonjoon Shin ◽

Katsuyuki Sugiyama ◽

Kentaroh Yoshida

Keyword(s):

String Theory ◽

Partition Function ◽

String Duality ◽

Closed String ◽

Pp Wave

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Lost chapters in CHL black holes: untwisted quarter-BPS dyons in the ℤ2 model

Journal of High Energy Physics ◽

10.1007/jhep01(2021)157 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Fabian Fischbach ◽

Albrecht Klemm ◽

Christoph Nega

Keyword(s):

String Duality ◽

Modular Forms ◽

Black Hole Entropy ◽

Siegel Modular Forms ◽

Partition Functions ◽

Twisted Sector ◽

Duality Symmetry ◽

Iwahori Subgroup ◽

M Theory ◽

Bonnet Term

Abstract Motivated by recent advances in Donaldson-Thomas theory, four-dimensional $$ \mathcal{N} $$ N = 4 string-string duality is examined in a reduced rank theory on a less studied BPS sector. In particular we identify candidate partition functions of “untwisted” quarter-BPS dyons in the heterotic ℤ2 CHL model by studying the associated chiral genus two partition function, based on the M-theory lift of string webs argument by Dabholkar and Gaiotto. This yields meromorphic Siegel modular forms for the Iwahori subgroup B(2) ⊂ Sp4(ℤ) which generate BPS indices for dyons with untwisted sector electric charge, in contrast to twisted sector dyons counted by a multiplicative lift of twisted-twining elliptic genera known from Mathieu moonshine. The new partition functions are shown to satisfy the expected constraints coming from wall-crossing and S-duality symmetry as well as the black hole entropy based on the Gauss-Bonnet term in the effective action. In these aspects our analysis confirms and extends work of Banerjee, Sen and Srivastava, which only addressed a subset of the untwisted sector dyons considered here. Our results are also compared with recently conjectured formulae of Bryan and Oberdieck for the partition functions of primitive DT invariants of the CHL orbifold X = (K3 × T2)/ℤ2, as suggested by string duality with type IIA theory on X.

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