Where Is String Theory in the Space of Scattering Amplitudes?

被引:63
作者
Guerrieri, Andrea [1 ,2 ]
Penedones, Joao [3 ]
Vieira, Pedro [2 ,4 ]
机构
[1] Tel Aviv Univ, Sch Phys & Astron, IL-69978 Ramat Aviv, Israel
[2] Univ Estadual Paulista, Inst Fis Teor, ICTP South Amer Inst Fundamental Res, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, Brazil
[3] Ecole Polytech Fed Lausanne, Inst Phys, Fields & String Lab, BSP 728, CH-1015 Lausanne, Switzerland
[4] Perimeter Inst Theoret Phys, 31 Caroline St N, Waterloo, ON N2L 2Y5, Canada
基金
巴西圣保罗研究基金会; 瑞士国家科学基金会; 加拿大自然科学与工程研究理事会; 以色列科学基金会;
关键词
We thank Francesco Aprile; Nathan Berkovits; Massimo Bianchi; Michael Green; Alexandre Homrich; Shiraz Minwalla; Alessandro Pilloni; Silviu Pufu; Ana Maria Raclariu; Amit Sever; and Andrew Tolley for useful discussions. Research at the Perimeter Institute is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MRI. This work was additionally supported by a grant from the Simons Foundation (J. P.: Grant No. 488649; P. V.: Grant No. 488661) and FAPESP Grants No. 2016/01343-7 and No. 2017/03303-1. J. P. is supported by the Swiss National Science Foundation through Project No. 200021-169132 and through the National Centre of Competence in Research SwissMAP. A. G. is supported by The Israel Science Foundation (Grant No. 2289/18);
D O I
10.1103/PhysRevLett.127.081601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We use the S-matrix bootstrap to carve out the space of unitary, crossing symmetric and supersymmetric graviton scattering amplitudes in ten dimensions. We focus on the leading Wilson coefficient a controlling the leading correction to maximal supergravity. The negative region alpha < 0 is excluded by a simple dual argument based on linearized unitarity (the desert). Awhole semi-infinite region alpha greater than or similar to 0.14 is allowed by the primal bootstrap (the garden). A finite intermediate region is excluded by nonperturbative unitarity (the swamp). Remarkably, string theory seems to cover all (or at least almost all) the garden from very large positive a-at weak coupling-to the swamp boundary-at strong coupling.
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页数:5
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