Flavours in global Klebanov-Witten background

Arnaudov, D.; Filev, Veselin G.; Rashkov, R. C.

doi:10.1007/jhep03(2014)023

Cited by 3 publications

(3 citation statements)

References 32 publications

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“…In the context of AdS/CFT, comparisons between the counting of a class of local gaugeinvariant operators and the spectrum of brane fluctuations was initiated in [18,19,20]. These papers considered the simplest quiver gauge theory, namely N = 4 SYM, and the additional fundamental matter corresponds to the addition of 7-branes in the dual AdS 5 ×S 5 background.…”

Section: Discussionmentioning

confidence: 99%

“…The directed edges correspond to bi-fundamental matter fields, which transform according to the anti-fundamental representation of the gauge group corresponding to the starting node and the fundamental of the ending node. Also of interest in AdS/CFT are gauge theories where some of the matter fields are in fundamental representations, rather than bi-fundamentals, see for example [18,19,20,21,22]. These theories can be associated to directed graphs, where we distinguish two types of nodes: gauge nodes and global symmetry nodes.…”

Section: Introductionmentioning

confidence: 99%

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Quivers, words and fundamentals

Mattioli

Ramgoolam

2015

J. High Energ. Phys.

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A systematic study of holomorphic gauge invariant operators in general N = 1 quiver gauge theories, with unitary gauge groups and bifundamental matter fields, was recently presented in [1]. For large ranks a simple counting formula in terms of an infinite product was given. We extend this study to quiver gauge theories with fundamental matter fields, deriving an infinite product form for the refined counting in these cases. The infinite products are found to be obtained from substitutions in a simple building block expressed in terms of the weighted adjacency matrix of the quiver. In the case without fundamentals, it is a determinant which itself is found to have a counting interpretation in terms of words formed from partially commuting letters associated with simple closed loops in the quiver. This is a new relation between counting problems in gauge theory and the Cartier-Foata monoid. For finite ranks of the unitary gauge groups, the refined counting is given in terms of expressions involving Littlewood-Richardson coefficients.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quivers, words and fundamentals

Mattioli

Ramgoolam

2015

J. High Energ. Phys.

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“…In the context of AdS/CFT, adding matter to N = 4 SYM introduces flavour symmetries [30][31][32][33][34]. Typically, the added matter transforms in fundamental and anti-fundamental representations of these flavour symmetries.…”

Section: Introductionmentioning

confidence: 99%

Gauge invariants and correlators in flavoured quiver gauge theories

Mattioli

Ramgoolam

2016

Nuclear Physics B

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In this paper we study the construction of holomorphic gauge invariant operators for general quiver gauge theories with flavour symmetries. Using a characterisation of the gauge invariants in terms of equivalence classes generated by permutation actions, along with representation theory results in symmetric groups and unitary groups, we give a diagonal basis for the 2-point functions of holomorphic and anti-holomorphic operators. This involves a generalisation of the previously constructed Quiver Restricted Schur operators to the flavoured case. The 3-point functions are derived and shown to be given in terms of networks of symmetric group branching coefficients. The networks are constructed through cutting and gluing operations on the quivers.

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Holographic mesons in global Pilch-Warner background geometry

Rashkov¹,

Vetsov²

2015

Preprint

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In this paper we study D-brane scalar fluctuations in global Pilch-Warner background geometry. We consider configurations of the probe branes compatible with the kappa symmetry preserving condition and the brane classical equations of motion. The corresponding meson spectra, obtained by the fluctuations along the transverse brane directions, admit equidistant structure for the higher modes, but some of them show additional shifts in their ground states.

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Flavours in global Klebanov-Witten background

Cited by 3 publications

References 32 publications

Quivers, words and fundamentals

Quivers, words and fundamentals

Gauge invariants and correlators in flavoured quiver gauge theories

Holographic mesons in global Pilch-Warner background geometry

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