Symmetries of the interacting gauge-covariant bosonic string |
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| Institution: | 1. School of Mechanical and Vechicular Engineering, Beijing Institute of Technology, 5 South Zhongguancun Street, Beijing 100081, China;2. Beijing Institute of Astronautical System Engineering, Beijing 100076, China;1. Department of Mechanical Design Engineering, University of Hanyang, 55, Hanyangdaehak-ro, Sangrok-gu, Ansan, Gyeonggi-do 15588, Republic of Korea;2. Department of Mechanical Engineering, University of Hanyang, 55, Hanyangdaehak-ro, Sangrok-gu, Ansan, Gyeonggi-do 15588, Republic of Korea;3. Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, National Demonstration Center for Experimental Mechanical Engineering Education at Shandong University, School of Mechanical Engineering, Shandong University, Jinan, Shandong Province 250061, People''s Republic of China;1. Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia;2. JP CCN Domzale-Kamnik d.o.o., Domzale-Kamnik WWTP, Domzale, Slovenia;1. School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China;2. Beijing Institute of Astronautics System Engineering, Beijing 100076, China |
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| Abstract: | We derive in detail the local gauge transformations and interaction lagrangian of the second-quantized bosonic string. We verify at lowest non-trivial order in the coupling constant the gauge invariance of the interacting action, and the closure of the field transformations. This gives the structure constants of the corresponding local gauge group. This group has its generators labelled by all the string states of the theory. We show that the fermionic part of the interaction is just the overlap condition for the ghost coordinates of the three strings, multiplied by an appropriate extra ghost at the point common to the three strings. Our treatment is based on an extensive use of Goto-Naka-type overlap equations. It avoids the use of ill-defined infinite matrices or series, and can be straightforwardly extended to other string theories. We explicitly derive the conformal transformation relating the gauge-covariant three-point function to the old Caneschi-Schwimmer-Veneziano vertex. We also deal with the closed bosonic string. |
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