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

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 Mstrings 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.

Triality in little string theories

“…While new dualities (or associated symmetries) are typically difficult to find (or prove) in full-fledge string theories, they typically also leave imprints on other physical system that are engineered by string (or M-) theory. One such example is that of Little String Theories (LSTs) [1][2][3][4][5][6][7] (see [8,9] for a review): using various brane constructions (in string or M-theory) and their dual geometric description in F-theory [10], different realisations of LSTs can be constructed and duality relations among them can be studied [11,12], including heterotic LSTs [13][14][15]. In this paper, we aim to further analyse the web of dualities connecting different LSTs as well as their low energy descriptions in terms of gauge field theories.…”

Transitions of orbifold vacua

“…From here we can see that SO(16) vector can only come from the multiplet (8,16) that is present in the untwisted sector. We expect from the gauge symmetry enhancement H → G 1 = U (2) × SO(28), we have recombination (2, 28) ← (2, 6, 1) + (2, 6, 1) + (2, 1, 16),…”

“…It recently attracted renewed attention in various contexts. For instance, geometry of F-theory helps us identify non-perturbative states and describe the phase transitions [4][5][6][7][8][9]. Such transition is important in understanding six dimensional superconformal field theory (SCFT) which is based on dynamics of M5-branes, dual to these heterotic 5-branes.…”

Aligned natural inflation in the Large Volume Scenario

“…This implies that the charges cannot be comparably larger than 64, giving an upper limit on the allowed JHEP10(2021)248 charge [77][78][79]. However, if singularities are present, larger-rank gauge groups may be allowed [80,81]. The tadpole cancellation condition also implies that, in the presence of supersymmetry, the brane configuration can be obtained from deformation, and thus the distribution should not be uniform.…”