摘要翻译:
在C=1共形场论中研究了共形界面的融合问题。我们发现了一个优雅的结构,让人想起超对称理论中黑洞的结构。BPS黑洞的作用是由拓扑界面起作用的,拓扑界面(a)使熵函数最小化,(b)通过吸引子机制固定体半径中的一个或两个,(c)在分裂下(边际)稳定。一个显著的区别是守恒电荷是自然数的对数,而不是像BPS态那样在电荷晶格中的向量。除了在凝聚态物理和数论中的潜在应用之外,这些结果还指出了弦论中大解生成代数的存在。
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英文标题:
《Fusion of conformal interfaces》
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作者:
C. Bachas and I. Brunner
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We study the fusion of conformal interfaces in the c=1 conformal field theory. We uncover an elegant structure reminiscent of that of black holes in supersymmetric theories. The role of the BPS black holes is played by topological interfaces, which (a) minimize the entropy function, (b) fix through an attractor mechanism one or both of the bulk radii, and (c) are (marginally) stable under splitting. One significant difference is that the conserved charges are logarithms of natural numbers, rather than vectors in a charge lattice, as for BPS states. Besides potential applications to condensed-matter physics and number theory, these results point to the existence of large solution-generating algebras in string theory.
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PDF链接:
https://arxiv.org/pdf/712.0076


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