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--- abstract: 'Out of several dozen z $>$ 7 candidate galaxies observed spectroscopically, only five have been confirmed via Lyman$\boldsymbol{\alpha}$ emission, at z=7.008, 7.045, 7.109, 7.213 and 7.215.[@vanzella11; @schenker12; @ono12; @shibuya13] The small fraction of confirmed galaxies may indicate that the neutral fraction in the intergalactic medium (IGM) rises quickly at $z >$ 6.5, as Lyman$\boldsymbol{\alpha}$ is resonantly scattered by neutral gas.[@kashikawa06; @iye06; @ouchi10; @pentericci11; @ono12] However, the small samples and limited depth of previous observations makes these conclusions tentative. Here we report the results of a deep near-infrared spectroscopic survey of 43 $z >$ 6.5 galaxies. We detect only a single galaxy, confirming that some process is making Lyman$\boldsymbol{\alpha}$ difficult to detect. The detected emission line at 1.0343$\boldsymbol{\mu}$m is likely to be Lyman$\boldsymbol{\alpha}$ emission, placing this galaxy at a redshift z = 7.51, an epoch 700 million years after the Big Bang. This galaxy’s colors are consistent with significant metal content, implying that galaxies become enriched rapidly. We measure a surprisingly high star formation rate of 330 M[$_{\odot}$]{} yr$^{-1}$, more than a factor of 100 greater than seen in the Milky Way. Such a galaxy is unexpected in a survey of our size[@smit12], suggesting that the early universe may harbor more intense sites of star-formation than expected.' author: - 'S. L. Finkelstein$^{1}$, C. Papovich$^2$, M. Dickinson$^3$, M. Song$^1$, V. Tilvi$^2$, A. M. Koekemoer$^4$, K. D. Finkelstein$^1$, B. Mobasher$^5$, H. C. Ferguson$^4$, M. Giavalisco$^6$, N. Reddy$^5$, M. L. N. Ashby$^7$, A. Dekel$^{8}$, G. G. Fazio$^7$, A. Fontana$^{9}$, N. A. Grogin$^4$, J.-S. Huang$^{7}$, D. Kocevski$^{10}$, M. Rafelski$^{11}$, B. J. Weiner$^{12}$ & S. P. Willner$^{7}$' title: 'A Rapidly Star-forming Galaxy 700 Million Years After the Big Bang at z=7.51' --- [^1] We obtained near-infrared (near-IR) spectroscopy of galaxies originally discovered in the Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey (CANDELS)[@grogin11; @koekemoer11] with the newly-commissioned near-infrared spectrograph MOSFIRE[@mclean12] on the Keck 10 meter telescope. From a parent sample of over 100 galaxy candidates at $z >$ 7 selected via their [*HST*]{} colors through the photometric redshift technique[@finkelstein10a; @mclure10; @finkelstein12a; @mclure13], we observed 43 candidate high-redshift galaxies over two MOSFIRE pointings with exposure times of 5.6 and 4.5 hr, respectively. Our observations covered Ly$\alpha$ emission at redshifts of 7.0 – 8.2. We visually inspected the reduced data at the expected slit positions for our 43 observed sources and found plausible emission lines in eight objects, with only one line detected at $>$5$\sigma$ significance. The detected emission line is at a wavelength of 1.0343$\mu$m with an integrated signal-to-noise (S/N) of 7.8 (Figure 1) and comes from the object designated z8\_GND\_5296 in our sample (RA$=$12:36:37.90; Dec$=$62:18:08.5 J2000). Based on the arguments outlined below (and discussed extensively in the supplementary material), we identify this line as the Ly$\alpha$ transition of hydrogen at a line-peak redshift of $z =$ 7.5078 $\pm$ 0.0004; consistent with our photometric redshift 68% confidence range of 7.5 $< z <$ 7.9 for z8\_GND\_5296. ![image](f1.eps){width="70.00000%"} ![image](f2.eps){width="75.00000%"} ![image](f3a.eps){width="50.00000%"} ![image](f3b.eps){width="50.00000%"} As expected for a galaxy at $z=$ 7.51, z8\_GND\_5296 is completely undetected in the [*HST*]{} optical