The Effects of Anger and Happiness on Opposite Valence Racial Stereotypes

This research examines angry and happy (versus neutral) emotions and how they affect ethnic stereotyping. Research has found that both anger and happiness increase a person’s reliance on stereotype information versus neutral emotion when making social judgments. Research has also found that ethnic stereotypes are not exclusively negative, as some stereotypes make positive generalizations of certain groups. However, research on ethnic stereotypes has exclusively been presented in a negative and not a positive context. Furthermore, past studies have only focused on negatively stereotyped racial groups (e.g., Hispanics) and not positively stereotyped racial groups (e.g., Asians). This research concentrates on both positively and negatively stereotyped groups, in both a negative and a positive context, with positive and negative emotions. This experiment explores Hispanic stereotypes in both a negative and positive context for participants who were induced to be either angry, happy, or neutral. Furthermore, we included an Asian ethnic condition, which is stereotype inconsistent from the aggressive trait associated with Hispanics. Implications about the effects and limitations that anger and happiness have on increasing stereotyping versus neutrality are also discussed

Supersymmetrizing 5d instanton operators

We construct a supersymmetric version of instanton operators in five-dimensional Yang-Mills theories. This is possible by considering a five-dimensional generalization of the familiar four-dimensional topologically twisted theory, where the gauge configurations corresponding to instanton operators are supersymmetric.Comment: 8 pages; v2: additional references added, typos correcte

5d gauge theories on orbifolds and 4d 't Hooft line indices

We study indices for 5d gauge theories on S^1 \times S^4/Z_n. In the large orbifold limit, n \rightarrow \infty, we find evidence that the indices become 4d indices in the presence of a 't Hooft line operator. The non-perturbative part of the index poses some subtleties when being compared to the 4d monopole bubbling which happens in the presence of 't Hooft line operators. We study such monopole bubbling indices and find an interesting connection to the Hilbert series of the moduli space of instantons on an auxiliary ALE space.Comment: 43 page

Aspects of the moduli space of instantons on CP2\mathbb{C}P^2 and its orbifolds

We study the moduli space of self-dual instantons on $\mathbb{C}P^2$. These are described by an ADHM-like construction which allows to compute the Hilbert series of the moduli space. The latter has been found to be blind to certain compact directions. In this paper we probe these, finding them to correspond to a Grassmanian, upon considering appropriate ungaugings. Moreover, the ADHM-like construction can be embedded into a $3d$ gauge theory with a known gravity dual. Using this, we realize in $AdS_4/CFT_3$ (part of) the instanton moduli space providing at the same time further evidence supporting the $AdS_4/CFT_3$ duality. Moreover, upon orbifolding, we provide the ADHM-like construction of instantons on $\mathbb{C}P^2/\mathbb{Z}_n$ as well as compute its Hilbert series. As in the unorbifolded case, these turn out to coincide with those for instantons on $\mathbb{C}^2/\mathbb{Z}_n$.Comment: 65 page

On the 5d instanton index as a Hilbert series

The superconformal index for N=2 5d theories contains a non-perturbative part arising from 5d instantonic operators which coincides with the Nekrasov instanton partition function. In this note, for pure gauge theories, we elaborate on the relation between such instanton index and the Hilbert series of the instanton moduli space. We propose a non-trivial identification of fugacities allowing the computation of the instanton index through the Hilbert series. We show the agreement of our proposal with existing results in the literature, as well as use it to compute the exact index for a pure U(1) gauge theory.Comment: 13 pages, 2 figure

The ADHM-like Constructions for Instantons on CP^2 and Three Dimensional Gauge Theories

We study the moduli spaces of self-dual instantons on CP^2 in a simple group G. When G is a classical group, these instanton solutions can be realised using ADHM-like constructions which can be naturally embedded into certain three dimensional quiver gauge theories with 4 supercharges. The topological data for such instanton bundles and their relations to the quiver gauge theories are described. Based on such gauge theory constructions, we compute the Hilbert series of the moduli spaces of instantons that correspond to various configurations. The results turn out to be equal to the Hilbert series of their counterparts on C^2 upon an appropriate mapping, in agreement with the result of [arXiv:0802.3120]. We check the former against the Hilbert series derived from the blowup formula for the Hirzebruch surface F_1 and find an agreement. The connection between the moduli spaces of instantons on such two spaces is explained in detail.Comment: 40 pages; v2: references edite