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Small E8 instantons and tensionless non-critical strings
Institution:1. Department of Physics, Jadwin Hall, Princeton University, Princeton, NJ 08544, USA;2. School of Natural Sciences, Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, USA;1. Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil;2. Instituto de Ciências Exatas e da Natureza-ICEN, Universidade da Integração Internacional da Lusofonia Afro-Brasileira-UNILAB, Campus dos Palmares, 62785-000 Acarape, Ceará, Brazil;3. Departamento de Matemática, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil;1. Institute for the Advancement of Higher Education, Hokkaido University, Sapporo 060-0817, Japan;2. Department of Physics, Hokkaido University, Sapporo 060-0810, Japan;3. The Institute of Mathematical Sciences, C.I.T Campus, Taramani, Chennai 600 113, India;4. Homi Bhabha National Institute, BARC Training School Complex, Anushakti Nagar, Mumbai 400094, India;5. Korea Institute for Advanced Study, Seoul 02455, Republic of Korea;1. Institute for Nuclear Research of Russian Academy of Sciences, 117312 Moscow, Russia;2. Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
Abstract:T-duality is used to extract information on an instanton of zero size in the E8 × E8 heterotic string. We discuss the possibility of the appearance of a tensionless anti-self-dual non-critical string through an implementation of the mechanism suggested by Strominger of two coincident 5-branes. It is argued that when an instanton shrinks to zero size a tensionless non-critical string appears at the core of the instanton. It is further conjectured that the appearance of tensionless strings in the spectrum leads to new phase transitions in six dimensions in much the same way as massless particles do in four dimensions.
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