E(lementary)-strings in six-dimensional heterotic F-theory

• Main Authors: Kang-Sin Choi, Soo-Jong Rey
• Format: Article
• Language: English
• Published: SpringerOpen 2017-09-01
• Series: Journal of High Energy Physics
• Subjects: F-Theory; String Duality; Superstrings and Heterotic Strings
• Online Access: http://link.springer.com/article/10.1007/JHEP09(2017)092

Abstract Using E-strings, we can analyze not only six-dimensional superconformal field theories but also probe vacua of non-perturabative heterotic string. We study strings made of D3-branes wrapped on various two-cycles in the global F-theory setup. We claim that E-strings are elementary in the sense that various combinations of E-strings can form M-strings as well as heterotic strings and new kind of strings, called G-strings. Using them, we show that emissions and combinations of heterotic small instantons generate most of known six-dimensional superconformal theories, their affinizations and little string theories. Taking account of global structure of compact internal geometry, we also show that special combinations of E-strings play an important role in constructing six-dimensional theories of D- and E-types. We check global consistency conditions from anomaly cancellation conditions, both from five-branes and strings, and show that they are given in terms of elementary E-string combinations.