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$\chi\rm{SB}$ of cascading gauge theory in de Sitter

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arxiv 1912.03566 v2 pith:U3HFTEV6 submitted 2019-12-07 hep-th

classification hep-th
keywords lambdatheorycascadinggaugeglueballchiralcouplingscale
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

${\cal N}=1$ supersymmetric $SU(N)\times SU(N+M)$ cascading gauge theory of Klebanov et.al spontaneously breaks chiral symmetry in Minkowski space-time. We demonstrate that in de Sitter space-time the chiral symmetry breaking occurs for the values of the Hubble constant $H\lesssim 0.7 \Lambda $, as well as in a narrow window $0.92(1) \Lambda \le H\le 0.92(5) \Lambda $. We give a precise definition of the strong coupling scale $\Lambda $ of cascading gauge theory, which is related to the glueball mass scale in the theory $m_{glueball}$ and the asymptotic string coupling $g_s$ as $\Lambda \sim g_s^{1/2} m_{glueball}$.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Instability of Baryonic Black Branes

    hep-th 2025-02 conditional novelty 6.0 of 10

    Baryonic black branes in the conifold gauge theory are shown to be dynamically unstable below T/µ_B = 0.2770(5), with an accompanying subdominant ordered phase extending to high temperatures.

  2. The ordered phase of charged N=4 SYM plasma

    hep-th 2025-01 conditional novelty 6.0 of 10

    A new ordered phase of charged N=4 SYM plasma, with a dimension-2 condensate O2 proportional to T^2 at high temperature, is constructed holographically and dominates the microcanonical ensemble.

  3. Fluxification and scalarization of the conifold black holes

    hep-th 2024-11 conditional novelty 6.0 of 10

    Two dimension-3 chiral operators of the Klebanov-Witten theory condense at the same critical chemical potential, producing flux-hair and scalar-hair black holes with ensemble-dependent phase dominance.

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