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No renormalization of the N=1 supergravity theory derived from the heterotic string
Institution:1. Yau Mathematical Sciences Center, Tsinghua University, Haidian District, Beijing, 100084, China;2. Department of Physics, POSTECH, Pohang 790-784, Republic of Korea;3. Asia Pacific Center for Theoretical Physics, POSTECH, Pohang 37673, Republic of Korea;4. Quantum Universe Center, Korea Institute for Advanced Study, Seoul 02455, Republic of Korea;1. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Campus Universitário – Juiz de Fora, 36036-330, MG, Brazil;2. Instituto Federal de Educação, Ciência e Tecnologia do Sudeste de Minas Gerais, IF Sudeste MG – Juiz de Fora, 36080-001, MG, Brazil;3. Tomsk State Pedagogical University, Tomsk, 634041, Russia;4. National Research Tomsk State University, Tomsk, 634050, Russia
Abstract:We show that one-loop string effects do not alter the form of the leading terms in the low-energy effective ten-dimensional N=1 supergravity theory derived from the heterotic string. We extend this result to the four-dimensional N=1 supergravity theory obtained after compactification, showing in particular that its Kähler potential is not renormalized by string loop effects or by the exchange of Kaluza-Klein modes. We also demonstrate that the Kähler potential and the gauge kinetic function are not renormalized by one-loop string effects in a wide class of four-dimensional formulations of superstring theories.
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