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$ mathcal{N} = 1 $ SQCD-like theories with N f massive flavors from AdS/CFT and β functions

机译: $ mathcal {n} = 1 $ n F 来自ADS / CFT的大规模味道和<重点类型=“斜体”>β功能

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摘要

We study new supergravity solutions related to large- N ~( c ) $ mathcal{N} = 1 $ supersymmetric gauge field theories with a large number N ~( f )of massive flavors. We use a recently proposed framework based on configurations with N ~( c )color D5 branes and a distribution of N ~( f )flavor D5 branes, governed by a function N ~( f ) S ( r ). Although the system admits many solutions, under plausible physical assumptions the relevant solution is uniquely determined for each value of x ?≡? N ~( f )/ N ~( c ). In the IR region, the solution smoothly approaches the deformed Maldacena-Nú?ez solution. In the UV region it approaches a linear dilaton solution. For x ??2 describe a “Seiberg dual” picture where N ~( f )???2 N ~( c )flips sign.
机译:我们研究了与大量的大量的大量效果有关的新型超级争夺解决方案,具有大量味道的大量N〜(f)的1美元超对称计域理论。我们使用基于N〜(C)颜色D5铜的配置的最近提出的框架和N〜(F)风味D5 Branes的分布,由函数n〜(f)s(r)管辖。虽然系统承认许多解决方案,但在合理的物理假设下,相关解决方案对于X的每个值唯一确定? n〜(f)/ n〜(c)。在IR区域中,溶液平滑地接近变形的Maldacena-nú?EZ溶液。在UV区域中,它接近线性Dilaton溶液。对于x?<?2仪表耦合β〜(g)函数在全拍上计算为负定,在UV接近NSVZβ函数中具有异常尺寸γ〜(0)?= ?? 1/2(接近??? 3 /(32π_(2))(2n〜(c)??? n〜(f))g _(3))),并且用β〜(g)?在IR中。对于x?=Δ2,β〜(g)具有强的耦合UV定点,表明在耦合的较低值下存在IR固定点。我们争辩说x?> 2的解决方案描述了一个“seiberg双”图片,其中n〜(f)??? 2 n〜(c)翻转标志。

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