Superstrings on NS 5 backgrounds , deformed AdS 3 and holography ∗

Superstrings on NS 5 backgrounds , deformed AdS 3 and holography ∗
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NS 5 背景上的超弦、变形 AdS 3 和全息术 *

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发表时间:
2008
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通讯作者:
M. Petropoulos
M. Petropoulos
中科院分区:
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文献类型:
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作者:
D. Israel;C. Kounnas;M. Petropoulos

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我们研究了D_1/D_5膜系的一个非标准解耦极限,它介于D_1/D_5背景的近水平几何和纯D_5膜几何的近水平极限之间。这种背景的S对偶描述实际上是一个精确可解的二维(世界表)共形场理论:{零变形SL(2,R)}×SU(2)×T4或K3。该模型没有强耦合奇点。通过对SL(2,R)的处理,基于更好理解的SL(2,R)/U(1)陪集,我们得到了SL(2,R)×SU(2)×T/Z2上超弦的完全配分函数。这使得我们可以计算JJ̄和JJ̄形变的配分函数,以及将SL(2,R)共形场理论与线性伸缩理论联系起来的整个超对称零形变。对这一系统的全息解释是紫外线(小弦理论)中的去耦合NS5膜世界体积理论和六维超杨-米尔斯弦瞬子的低能动力学之间的重整化群流。LPTENS-03/07 CPTH-S015.04032003年6月∗研究部分由欧洲经济委员会根据合同HPRN-CT-00122,HPRNCT-2000-00131,HPRN-CT-2000-00148 1 UnitéMixte du CNRS et de L‘Ecole Normal Supériure,UMR8549 2 UnitéMixte du CNRS et de L’Ecole Polytech,UMR7644
We study a non-standard decoupling limit of the D1/D5-brane system, which interpolates between the near-horizon geometry of the D1/D5 background and the near-horizon limit of the pure D5-brane geometry. The S-dual description of this background is actually an exactly solvable two-dimensional (worldsheet) conformal field theory: {null-deformed SL(2,R)} × SU(2) × T 4 or K3. This model is free of strong-coupling singularities. By a careful treatment of the SL(2,R), based on the better-understood SL(2,R)/U(1) coset, we obtain the full partition function for superstrings on SL(2,R)×SU(2)×T /Z2. This allows us to compute the partition functions for the JJ̄ and JJ̄ deformations, as well as the full line of supersymmetric null deformations, which links the SL(2,R) conformal field theory with linear dilaton theory. The holographic interpretation of this setup is a renormalisation-group flow between the decoupled NS5-brane world-volume theory in the ultraviolet (Little String Theory), and the low-energy dynamics of super Yang–Mills string-like instantons in six dimensions. LPTENS-03/07 CPTH-S015.0403 June 2003 ∗ Research partially supported by the EEC under the contracts HPRN-CT-2000-00122, HPRNCT-2000-00131, HPRN-CT-2000-00148 1 Unité mixte du CNRS et de l’Ecole Normale Supérieure, UMR 8549 2 Unité mixte du CNRS et de l’Ecole Polytechnique, UMR 7644