我们用可积方法分析了AdS 3 x S3 x T4上具有Ramond-Ramond通量的微扰闭弦的谱.通过求解交叉方程，我们确定了世界面S矩阵的无质量和混合质量修整因子，并导出了Bethe方程。使用这些，我们构建了基本的可积自旋链，并表明它再现了arXiv：1211.1952中弱耦合下的可约自旋链。我们发现，弦理论无质量模式描述的自旋链的无隙激发。由此产生的真空简并度与德波尔发现的受保护的超引力谱精确匹配。
英文摘要：
We analyze the spectrum of perturbative closed strings on AdS3 x S3 x T4 with Ramond-Ramond flux using integrable methods. By solving the crossing equations we determine the massless and mixed-mass dressing factors of the worldsheet S matrix and derive the Bethe equations. Using these, we construct the underlying integrable spin chain and show that it reproduces the reducible spin chain conjectured at weak coupling in arXiv:1211.1952. We find that the string-theory massless modes are described by gapless excitations of the spin chain. The resulting degeneracy of vacua matches precisely the protected supergravity spectrum found by de Boer.
We treat RR flux backgrounds of type II string theory in the framework of closed superstring field theory based on the NSR formalism, focusing on two examples: (1) the pp-wave background supported by 5-form flux, and (2) $AdS_3\times S^3\times M_4$ supported by mixed 3-form fluxes. In both cases, we analyze the classical string field solution perturbatively, and compute the correction to the dispersion relation of string states to quadratic order in the RR flux. In the first example, our result is in a delicate way consistent with that obtained from lightcone quantization of the Green-Schwarz …
在N个Ramond-Ramond通量单位穿入的AdS_n x S^m中，研究了包裹在S^{m-1}上嵌入S^m中的Dm膜的动力学性质.在D-膜世界体积上的对偶规范场的通量被整体量子化的条件下，发现包裹D-膜是局部和全局稳定的，并且在AdS_n上表现为有效的基本弦.也有人声称，半无限的部分缠绕D-膜'套索'周围的S^m。
Factorization of scattering is the hallmark of integrable 1+1 dimensional quantum field theories. For factorization of scattering to be possible the set of masses and momenta must be conserved in any two-to-two scattering process. We use this fact to constrain the form of the Ramond-Ramond fluxes for integrable supergravity anti-de Sitter backgrounds by analysing tree-level scattering of two AdS bosons into two fermions on the worldsheet of a BMN string. We find a condition which can be efficiently used to rule out integrability of AdS strings and therefore of the corresponding AdS/CFT dualiti…
We present a compact expression for a coherent vertex operator in superstring theory, in the Neveu-Schwarz sector, that can be easily extended to the Ramond sector by supersymmetric transformations in target space. We give also an explicit construction for the Ramond coherent vertex operator. These constructions provide the use of the supersymmetric version of the Del Giudice-Di Vecchia-Fubini operators and Operator Product Expansion techniques, displaying manifest BRST invariance and after normal ordering also manifest covariance. As a consistency check we compute tree level three-points scat…
The emergence of a Kalb-Ramond field and string charge in the lattice is discussed. The local bosonic model with rotor variables placed on the faces of a cubic lattice is considered. The coupling model consisting of the Maxwell fields and the Kalb-Ramond field is given. This construction naturally incorporates the emerging coupling between both gauge and string fields. In the process, an object that resembles to a D-brane on the lattice is introduced.
Quasi-quantum groups from Kalb-Ramond fields and magnetic amplitudes for strings on orbifolds
本文给出了在Kalb-Ramond场强$H$存在的情况下，提升轨道${\cal M}/G$上玻色弦扭曲扇区上群作用的算符的一般形式.这些算符产生了准量子群$D_ω[G]$，它是由R。Dijkgraaf，V. Pasquier and P. Roche.进入$D_ω[G]$定义的3-上循环$ω$与$H$通过结合de Rham、Cech和群上边界的三复体中的一系列上同调方程相关联。我们构造的扭曲部门的磁振幅，并表明，$ω=1$出现作为一个一致性条件的orbifold理论。最后，我们恢复离散扭转作为一个模糊的提升集团作用扭曲的部门，根据以前的结果提出的E。夏普
We apply the boundary state method and operator formalism to obtain tree-level scattering amplitude of the Kalb-Ramond state from a D$p$-brane. The brane has a tangential dynamics, and it has been dressed by the antisymmetric tensor field, a $U(1)$ internal gauge potential and an open string tachyon field. By using the scattering amplitudes we acquire two DBI-like actions corresponding to the target branes. Our calculations are in the framework of the bosonic string theory.
Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
我们研究了AdS_3 x S^3 x T^4上由Ramond-Ramond和Neveu-Schwarz-Neveu-Schwarz三种形式流的组合支撑的超弦，构造了一组描述经典弦谱的有限能隙方程.利用最近提出的全圈S-矩阵，我们写出了大质量扇区的全圈Bethe矩阵方程。在热力学极限下，Bethe近似再现了有限能隙方程。作为这个推导的一部分，我们提出了表达式的领先顺序敷料阶段。这些相位不同于在纯Ramond-Ramond情况下出现的著名的Arutyunov-Frolov-Staudacher相位。我们还考虑了代数曲线的单圈量子化，并确定了修整相位的单圈修正。最后，我们考虑了一些经典的弦解，包括有限大小的巨磁振子和圆弦。
Motivated by the standard form of string-theory amplitude, we calculate the field-theory amplitude to complete the higher-derivative terms in type II supergravity theories in their conventional form. We derive explicitly the $ O(α'^3) $ interactions for the RR (Ramond-Ramond) fields with graviton, B-field and dilaton in the low-energy effective action of type II superstrings. We check our results by comparison with previous works that have been done by the other methods, and find an exact agreement.
From closed to open strings: the tensionless route in Kalb-Ramond background and noncommutativity
Yau Mathematical Sciences Center (YMSC), Tsinghua University（丘成桐数学科学中心，清华大学）；Harish-Chandra Research Institute, A CI of Homi Bhabha National Institute（哈里什-昌德拉研究所，霍米·巴巴国家研究所成员机构）
