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Mustafa Salih Zog

Publications and source records attributed to Mustafa Salih Zog.

3 recordsLinked to original sources

A Twisted Origin for Magnetic Carroll Supersymmetry

Magnetic Carrollian theories provide a natural setting for field theories with nontrivial spatial structure in the Carroll limit and are therefore natural candidates for flat-space holographic duals. Embedding such boundary theories into a top-down framework requires a consistent supersymmetric completion and, in particular, an understanding of the relativistic origin of magnetic Carroll supersymmetry. We show that the relevant magnetic Carroll algebra does not arise from a naive contraction of the standard relativistic supersymmetry algebra, but instead descends from a twisted relativistic parent. As an explicit realization, we construct a three-dimensional ${\mathcal{N}}=2$ magnetic Carroll algebra together with a supersymmetric vector-multiplet action. Unlike the electric case, the resulting structure contains one supercharge that squares to spatial momentum, a mixed anticommutator that yields the Hamiltonian, and a nilpotent second supercharge. We further show that its conformal extension coincides with the global part of a supersymmetric BMS$_4$ algebra. This provides a physical and relativistic origin for a super-BMS$_4$ structure recently identified by complementary algebraic methods, and strengthens the case for magnetic Carroll theories in flat-space holography and supersymmetric asymptotic symmetries.

hep-th↗

Supersymmetric Carroll Galileons in Three Dimensions

We present the first example of an interacting Carroll supersymmetric field theory with both temporal and spatial derivatives, belonging to the Galileon class, where the non-linear field equation remains second-order in derivative. To achieve this, we introduce two novel tools. First, we demonstrate that the two-dimensional Galilei/Carroll duality can be extended to higher dimensions, and includes the supersymmetry, by expressing the generators in a spinor basis. We then show that Carroll superalgebras are naturally connected to Euclidean, rather than Poincaré, superalgebras. Using the real multiplet of the three-dimensional N $=1$ Euclidean supersymmetry, we construct the scalar multiplet for N $=2$ Carroll supersymmetry and develop a tensor calculus to realize the aforementioned model. These results offer new insights into the structure of genuine higher-dimensional Carroll field theories and Carroll supersymmetry. While these tools are utilized to build a specific model, we anticipate that they possess broader applications in Carrollian physics.

hep-th↗

The Holographic c-theorem and Infinite-dimensional Lie Algebras

We discuss a non-dynamical theory of gravity in three-dimensions which is based on an infinite-dimensional Lie algebra that is closely related to an infinite-dimensional extended AdS algebra. We find an intriguing connection between on the one hand higher-derivative gravity theories that are consistent with the holographic c-theorem and on the other hand truncations of this infinite-dimensional Lie algebra that violate the Lie algebra structure. We show that in three dimensions different truncations reproduce, up to terms that do not contribute to the c-theorem, Chern-Simons-like gravity models describing extended 3D massive gravity theories. Performing the same procedure with similar truncations in dimensions larger than or equal to four reproduces higher derivative gravity models that are known in the literature to be consistent with the c-theorem but do not have an obvious connection to massive gravity like in three dimensions.

hep-th↗