Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Beaudry, Agnes"'
We study the nonlinear $\sigma$-model in ${(d+1)}$-dimensional spacetime with connected target space $K$ and show that, at energy scales below singularities (e.g., vortices, hedgehogs, etc.), it has an emergent non-invertible higher symmetry. The sym
Externí odkaz:
http://arxiv.org/abs/2310.08554
Autor:
Qi, Marvin, Stephen, David T., Wen, Xueda, Spiegel, Daniel, Pflaum, Markus J., Beaudry, Agnès, Hermele, Michael
We employ matrix product states (MPS) and tensor networks to study topological properties of the space of ground states of gapped many-body systems. We focus on families of states in one spatial dimension, where each state can be represented as an in
Externí odkaz:
http://arxiv.org/abs/2305.07700
Publikováno v:
Reviews in Mathematical Physics, (2024) 2460003 (87 pages)
In this paper, we present a homotopical framework for studying invertible gapped phases of matter from the point of view of infinite spin lattice systems, using the framework of algebraic quantum mechanics. We define the notion of quantum state types
Externí odkaz:
http://arxiv.org/abs/2303.07431
Autor:
Beaudry, Agnes, Bobkova, Irina, Goerss, Paul G., Henn, Hans-Werner, Pham, Viet-Cuong, Stojanoska, Vesna
We calculate the group $\kappa_2$ of exotic elements in the $K(2)$-local Picard group at the prime $2$ and find it is a group of order $2^9$ isomorphic to $(\mathbb{Z}/8)^2 \times (\mathbb{Z}/2)^3$. In order to do this we must define and exploit a va
Externí odkaz:
http://arxiv.org/abs/2212.07858
Autor:
Beaudry, Agnes, Bobkova, Irina, Goerss, Paul G., Henn, Hans-Werner, Pham, Viet-Cuong, Stojanoska, Vesna
We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava $E$-theory, $H^*(\mathbb{G}_2, E_t)$, at $p=2$, for $0\leq t < 12$, using the Algebraic Duality Spectral Sequence. Furthermore, in that same range, we com
Externí odkaz:
http://arxiv.org/abs/2210.15994
In this paper, we investigate equivariant quotients of the Real bordism spectrum's multiplicative norm $MU^{((C_{2^n}))}$ by permutation summands. These quotients are of interest because of their close relationship with higher real $K$-theories. We i
Externí odkaz:
http://arxiv.org/abs/2204.04366
Autor:
Spiegel, Daniel, Moreno, Juan, Qi, Marvin, Hermele, Michael, Beaudry, Agnès, Pflaum, Markus J.
Publikováno v:
Reviews in Mathematical Physics Vol. 33 (2022) 2250031 (84 pages)
We consider how the outputs of the Kadison transitivity theorem and Gelfand-Naimark-Segal construction may be obtained in families when the initial data are varied. More precisely, for the Kadison transitivity theorem, we prove that for any nonzero i
Externí odkaz:
http://arxiv.org/abs/2112.13315
Autor:
Wen, Xueda, Qi, Marvin, Beaudry, Agnès, Moreno, Juan, Pflaum, Markus J., Spiegel, Daniel, Vishwanath, Ashvin, Hermele, Michael
Publikováno v:
Phys. Rev. B 108, 125147 (2023)
This paper is concerned with the physics of parametrized gapped quantum many-body systems, which can be viewed as a generalization of conventional topological phases of matter. In such systems, rather than considering a single Hamiltonian, one consid
Externí odkaz:
http://arxiv.org/abs/2112.07748
We study modules over the commutative ring spectrum $H\mathbb F_2\wedge H\mathbb F_2$, whose coefficient groups are quotients of the dual Steenrod algebra by collections of the Milnor generators. We show that very few of these quotients admit algebra
Externí odkaz:
http://arxiv.org/abs/2103.14707
Publikováno v:
Journal of Topology, Volume 15 (2022), Issue 4, 1864-1926
In this paper, we study the elliptic spectral sequence computing $tmf_*(\mathbb{R} P^2)$ and $tmf_* (\mathbb{R} P^2 \wedge \mathbb{C} P^2)$. Specifically, we compute all differentials and resolve exotic extensions by 2, $\eta$, and $\nu$. For $tmf_*
Externí odkaz:
http://arxiv.org/abs/2103.10953