4 papers
Topological Elliptic Genera I -- The mathematical foundation
Ying-Hsuan Lin, Mayuko Yamashita
We construct {\it Topological Elliptic Genera}, homotopy-theoretic refinements of the elliptic genera for -manifolds and variants including the Witten-Landweber-Ochanine genus.…
Fortuity in the D1-D5 system
Chi-Ming Chang, Ying-Hsuan Lin, Haoyu Zhang
We reformulate the lifting problem in the D1-D5 CFT as a supercharge cohomology problem, and enumerate BPS states according to the fortuitous/monotone classification. Working in th…
Violation of S-duality in classical -cohomology
Chi-Ming Chang, Ying-Hsuan Lin
We study the cohomology of a chiral supercharge in the super-Yang-Mills (SYM) theory at tree level. The cohomology classes correspond one-to-one to the $\frac1{…
Holographic covering and the fortuity of black holes
Chi-Ming Chang, Ying-Hsuan Lin
We propose a classification of BPS states in holographic CFTs into monotone and fortuitous, based on their behaviors in the large limit. Intuitively, monotone BPS states form i…