Results 71 to 80 of about 3,131,085 (241)
Abstract Beginning with the classical (1,0) non-linear sigma model we analyze the constraints arising from the progressive imposition of (p,q) world sheet supersymmetry. In particular new types of (1,1) supersymmetry are identified, allowing a wider class of models with additional symmetries.
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Supersymmetry in quantum mechanics: an extended view [PDF]
The concept of supersymmetry in a quantum mechanical system is extended, permitting the recognition of many more supersymmetric systems, including very familiar ones such as the free particle. Its spectrum is shown to be supersymmetric, with space-time symmetries used for the explicit construction. No fermionic or Grassmann variables need to be invoked.
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A Note on the Local Observability of Uniform Hypergraphs
ABSTRACT Hypergraphs generalize graphs in such a way that edges may connect any number of nodes. If all edges are adjacent to the same number of nodes, the hypergraph is called uniform. Thus, a graph is a 2‐uniform hypergraph. Each uniform hypergraph can be identified with an autonomous dynamical state‐space system, whose vector field is composed of ...
Daniel Gerbet, Klaus Röbenack
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Stochastic processes in lattice (extended) supersymmetry [PDF]
We show that ungauged N = 2 supersymetric models can be put on the (hamiltonian) lattice in such a way as to preserve a subalgebra of supersymmetry large enough to ensure the existence of the Nicolai mapping. The models can be interpreted as stochastic systems described by Langevin equations. We describe both Wilson and Susskind versions of the model.
Cecotti, S., Girardello, L.
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We study the general deformation of N $$ \mathcal{N} $$ = 2 supersymmetry transformations of a vector multiplet that forms a (constant) triplet under the SU(2) R-symmetry corresponding to the magnetic dual of the triplet of the Fayet-Iliopoulos (FI ...
Ignatios Antoniadis+2 more
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Double Copy From Tensor Products of Metric BV■‐Algebras
Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten+5 more
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Supergraphs extended to broken supersymmetries
Abstract Supergraph techniques are generalized to the case of broken supersymmetry. The modified superpropagators for the O'Raifeartaigh model are obtained: they are used for the superspace renormalization and the derivation of the effective potential.
F. Legovini+6 more
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Behaviors of two supersymmetry breaking scales in N $$ \mathcal{N} $$ = 2 supergravity
We study the supersymmetry breaking patterns in four-dimensional N $$ \mathcal{N} $$ = 2 gauged supergravity. The model contains multiple (Abelian) vector multiplets and a single hypermultiplet which parametrizes SO(4, 1)/SO(4) coset.
Hiroyuki Abe+3 more
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Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi+2 more
wiley +1 more source
Partial breaking of extended supersymmetry [PDF]
Abstract In this letter we use nonlinear realizations to examine the breaking of N = 2 extended supersymmetry to N = 1. We derive lagrangians and transformation laws for the generalized N = 2 Akulov-Volkov goldstino field. We analyze the ghost states and show that they may be collected into N = 1 supermultiplets.
Jonathan Bagger+3 more
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