Killing - Yano supersymmetry in string theory

Abstract

The presence of Killing-Yano tensors implies the existence of non-standard supersymmetries in point particle theories on curved backgrounds. In a string theoretical context these are symmetries of the modes describing the particle-like behavior of the string. In the presence of isometries we show that, in addition to these, one can also define a new type of non-standard supersymmetry among a mixture of particle and winding modes. The interplay with T-duality is also examined and illustrated by explicit examples. *

Maxwell’s equations in the Myers-Perry geometry

“…Such symmetries encoded in the Killing-(Yano) tensors have been explored in the past, both in higher-dimensional general relativity [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56] and in string theory [61][62][63][64][65][66][67][68][69][70][71]. This paper will connect the properties of such tensors, in particular, their eigenvectors, to separation of the Maxwell's equations in an arbitrary number of dimensions.…”

The Geometry of¶(Super) Conformal Quantum Mechanics

“…An operator approach to a similar system can be found in [16]. and of course commute with P a and X b .…”

HKT and OKT geometries on soliton black hole moduli spaces

“…The first condition in (3.16) also arises in the context of two-dimensional (2,0)supersymmetric sigma models. The last two conditions in (3.16) do not have a ⋆ For another derivation of the invariance of the action conditions see [35]. † Our normalization convention for a p-form, ω,…”