论文标题
复杂的BPS孤子，具有二元性的真实能量
Complex BPS solitons with real energies from duality
论文作者
论文摘要
遵循一种通用方法，导致Bogomolny-prasad-Sommerfield（BPS）Soliton解决方案通过施加自二重性，我们研究了三种不同类型的非弱点田地理论。我们考虑了具有BPS超指定扭结和抗Kink解决方案的对数电势的复杂版本，以及具有扭结的Arctan类型的复杂版本的耦合正弦模型系统的两种不同类型的复杂概括。尽管事实上，在非热理论中获得的所有孤子解决方案在这种方式中都很复杂，但我们表明它们具有真正的能量。对于复杂的扩展正弦 - 戈登模型，我们明确地确定能量与通过dyson映射从伪 - 温米特方法获得的等效对非热和遗传学理论的能量相同。我们认为能量的现实是由于复杂BPS解决方案的拓扑特性所致。这些属性通常是由与自偶偶联和反自我二重性理论相关的抗线性CPT对称性的修改版本产生的。
Following a generic approach that leads to Bogomolny-Prasad-Sommerfield (BPS) soliton solutions by imposing self-duality, we investigate three different types of non-Hermitian field theories. We consider a complex version of a logarithmic potential that possess BPS super-exponential kink and antikink solutions and two different types of complex generalisations of systems of coupled sine-Gordon models with kink and antikink solution of complex versions of arctan type. Despite the fact that all soliton solutions obtainedin this manner are complex in the non-Hermitian theories we show that they possess real energies. For the complex extended sine-Gordon model we establish explicitly that the energies are the same as those in an equivalent pair of a non-Hermitian and Hermitian theory obtained from a pseudo-Hermitian approach by means of a Dyson map. We argue that the reality of the energy is due to the topological properties of the complex BPS solutions. These properties result in general from modified versions of antilinear CPT symmetries that relate self-dual and an anti-self-dual theories.
