On the four-dimensional holoraumy of the 4D, 𝒩 = 1 complex linear supermultiplet

Author:

Caldwell Wesley1,Diaz Alejandro N.1,Friend Isaac2,Gates S. James13ORCID,Harmalkar Siddhartha1,Lambert-Brown Tamar1,Lay Daniel1,Martirosova Karina1,Meszaros Victor A.1,Omokanwaye Mayowa4,Rudman Shaina1,Shin Daeljuck1,Vershov Anthony1

Affiliation:

1. Center for String and Particle Theory, Department of Physics, University of Maryland, 4150 Campus Dr., College Park, MD 20472, USA

2. Department of Mathematics, University of Chicago, 5734 South University Avenue, Chicago, IL 60637, USA

3. Department of Physics, Brown University, Box 1843, 182 Hope Street, Barus & Holley 545, Providence, RI 02912, USA

4. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307, USA

Abstract

We present arguments to support the existence of weight spaces for supersymmetric field theories and identify the calculations of information about supermultiplets to define such spaces via the concept of “holoraumy.” For the first time, this is extended to the complex linear superfield by a calculation of the commutator of supercovariant derivatives on all of its component fields.

Funder

Directorate for Mathematical and Physical Sciences

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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