标题： S-膜热力学 显示英文标题

标题： S-Brane Thermodynamics

摘要： 弦理论中的s膜在g_s=0时的描述被考虑为具有(λ cosh X^0)或(λ e^(X^0))边界相互作用的精确的世界面CFT。由于相互作用在X^0 -> X^0 + 2πi下的虚时间周期性，这些构型与黑洞或de Sitter几何有引人注目的相似之处。例如，由Unruh探测器观测到的开弦对产生表现为温度T = 1/4π的热态。尽管s膜具有快速的时间依赖性，但存在一个精确的开弦混合热态。构造了这两种情况下的边界态：玻色子情况和超弦情况。这个状态定义了一个长距离的欧几里得有效场论，其轻模式被限制在s膜上。在耦合λ=1/2的临界值下，边界相互作用简单地生成了一个从Neumann边界条件到Dirichlet边界条件的SU(2)旋转π。λ=1/2的s膜退化为虚时间轴上的sD膜（具有横向时间维度的D膜）阵列。从环图可以看出，(玻色子的)sD膜与普通D膜之间的长程力是两个D膜之间力的11/12倍。在超弦理论中，由sD膜产生的线性化的时变RR场F=dC被明确计算出来，发现它携带半个s荷Q_s=\int _S *F=1/2，其中S是任意横向时空切片。 显示英文摘要

摘要： The description of string-theoretic s-branes at g_s=0 as exact worldsheet CFTs with a (lambda cosh X^0) or (lambda e^(X^0)) boundary interaction is considered. Due to the imaginary-time periodicity of the interaction under X^0 -> X^0 + 2 pi i, these configurations have intriguing similarities to black hole or de Sitter geometries. For example, the open string pair production as seen by an Unruh detector is thermal at temperature T = 1/4 pi. It is shown that, despite the rapid time dependence of the s-brane, there exists an exactly thermal mixed state of open strings. The corresponding boundary state is constructed for both the bosonic and superstring cases. This state defines a long-distance Euclidean effective field theory whose light modes are confined to the s-brane. At the critical value of the coupling lambda=1/2, the boundary interaction simply generates an SU(2) rotation by pi from Neumman to Dirichlet boundary conditions. The lambda=1/2 s-brane reduces to an array of sD-branes (D-branes with a transverse time dimension) on the imaginary time axis. The long range force between a (bosonic) sD-brane and an ordinary D-brane is shown from the annulus diagram to be 11/12 times the force between two D-branes. The linearized time-dependent RR field F=dC produced by an sD-brane in superstring theory is explicitly computed and found to carry a half unit of s-charge Q_s=\int_S *F=1/2, where S is any transverse spacelike slice.