Recently, there is a huge amount of progress in the study of 6d N=(1,0) theories. We now have a better understanding of the landscape of such theories and have a general formula for their anomaly polynomials. For a large class of 6d (1,0) theories, we have 2d gauge theory descriptions of the worldsheet 2d (0,4) SCFTs on the BPS strings. The compactifications of 6d (1,0) theories are also being studied by many authors. In this talk, I’d like to explain such recent developments in 6d (1,0) theories, based on my works with collaborators.
  In the first part of the talk, I will review the basic ingredients of 6d (1,0) theories, such as moduli spaces of vacua, anomalies of global symmetries, and BPS strings on the tensor branch. I will also describe the string theory realizations of important examples of 6d (1,0) theories.
  In the second part of the talk, I will explain the compactification of 6d (1,0) theories on a 2-torus as a first step toward considering more general backgrounds. I’d like to focus on the similarities and differences between 6d (1,0) theories and the 6d (2,0) theory under the compactification.
  References: arXiv:1408.5572, 1503.06217 and 1508.00915 with K.Ohmori, Y.Tachikawa and K.Yonekura. arXiv:1608.05894 with Y.Tachikawa.