Researching the effects of witnessing trauma in rats

GLSMs for exotic Grassmannians

“…This can be described more explicitly as a subvariety of an ordinary Grassmannian G(k, 2n), a fact that will be used in GLSM realizations. The dimension of SG(k, 2n) is given by [11], [12, section 3…”

“…When k = n, SG(n, 2n) is the space of maximal isotropic subspaces of C 2n , which is also known as the Lagrangian Grassmannian, and often denoted LG(n, 2n). In the case k = 1, the isotropy condition trivializes, and [11]…”

“…Some background on symplectic Grassmannians can be found in e.g. [11,12], [14, section 6.3]. The GLSM for a symplectic Grassmannian implements an isotropy condition on top of an ordinary Grassmannian, so let us first quickly review the GLSM for an ordinary Grassmannian G(k, N ), following [3].…”

“…In the special case that k = n, there is a second class of SU (k)-invariant operators, that also define a map. These operators are given bỹ 11) and they define a map from LG(n, 2n) into a projective space of dimension 2 n −1. (See [15, section 3.3] for more information.)…”

“…Background on spinor varieties and orthogonal Grassmannians can be found in e.g. [11,12,[33][34][35][36][37][38][39][40][41][42], [14, section 6.2]. A GLSM describing a degree 12 K3 surface, which is a subvariety of OG + (5, 10), is example SSSM 1,8,5 in [43, section 2.4].…”