2000Journal of Mathematical PhysicsRequires access

Majorana spinors on unoriented surfaces

Nikolaos Kalogeropoulos

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Abstract

In this paper we find the conditions for the existence of Majorana spinors on unoriented surfaces. We prove that a Majorana spinor exists on these surfaces if and only if its genus is an odd integer. We enumerate the different real spin structures and we comment on their parity classification. Potentially interesting applications are pointed out.

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What this paper is about

In this paper we find the conditions for the existence of Majorana spinors on unoriented surfaces. We prove that a Majorana spinor exists on these surfaces if and only if its genus is an odd integer. We enumerate the different real spin structures and we comment on their parity classification. Potentially interesting applications are pointed out.

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Available abstract

In this paper we find the conditions for the existence of Majorana spinors on unoriented surfaces. We prove that a Majorana spinor exists on these surfaces if and only if its genus is an odd integer. We enumerate the different real spin structures and we comment on their parity classification. Potentially interesting applications are pointed out.

Key concepts: MAJORANA, Spinor, Majorana equation, Parity (physics), Integer (computer science), Physics, Theoretical physics, Spin (aerodynamics)

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