From strings in 6d to strings in 5d

We show how recent progress in computing elliptic genera of strings in six dimensions can be used to obtain expressions for elliptic genera of strings in five-dimensional field theories which have a six-dimensional parent. We further connect our results to recent mathematical results about sheaf counting on ruled surfaces.Comment: 17 pages, 4 figures. v3: Definitions clarified, Section "Concluding Thoughts" adde

Search for heavy neutral CP-even Higgs within Type-IV 2HDM at a future linear collider

In this paper, the production process $e^- e^+ \rightarrow A H$ is analyzed in the context of the type IV 2HDM and the question of observability of a neutral CP-even Higgs boson $H$ at a linear collider operating at $\sqrt{s}=1$ TeV is addressed. The CP-odd Higgs is assumed to experience a gauge-Higgs decay as $A\rightarrow ZH$ with hadronic decay of $Z$ boson as the signature of signal events. The production chain is thus $e^+e^- \rightarrow AH \rightarrow ZHH \rightarrow jj\ell\ell\ell\ell$ where $\ell$ is a $\tau$ or $\mu$. Four benchmark points with different mass hypotheses are assumed for the analysis. The Higgs mass $m_H$ is assumed to vary within the range 150-300 GeV in increments of 50 GeV. The anti-$k_t$ algorithm is used to perform the jet reconstruction. Results indicate that the neutral CP-even Higgs $H$ is observable through this production mechanism using the di-muon invariant mass distribution with possibility of mass measurement. The corresponding signal significances exceed $5\sigma$ at integrated luminosity of 3000 $fb^{-1}$.Comment: 23 pages, 18 figures, 10 table

M5 branes and Theta Functions

We propose quantum states for Little String Theories (LSTs) arising from M5 branes probing A- and D-type singularities. This extends Witten's picture of M5 brane partition functions as theta functions to this more general setup. Compactifying the world-volume of the five-branes on a two-torus, we find that the corresponding theta functions are sections of line bundles over complex 4-tori. This formalism allows us to derive Seiberg-Witten curves for the resulting four-dimensional theories. Along the way, we prove a duality for LSTs observed by Iqbal, Hohenegger and Rey.Comment: 27 pages, 1 Figure. v3: included further explanations and corrected typos. This the version published in JHE