The terms here do not refer to any published editions of these ancient sources. Rather they refer in general to the work or corpus of works that has commonly been labeled with a particular term and abbreviation. Abbreviations for these are found scattered throughout §8.1 - §8.3 (pages 118-171), along with many other ancient sources such as Philo, Josephus, and various early Christian and Jewish writers.
The Apostolic Fathers (a group of various Christian writings from the late 1st and early 2nd centuries)
AF
The Dead Sea Scrolls (Old Testament and other texts in Hebrew, Aramaic, and Greek from Qumran and surrounding sites)
DSS
The Greek New Testament
GNT
The Hebrew Bible (the Old Testament)
HB
The Nag Hammadi codices (a group of various gnostic/sub-christian texts)
NHC
The Septuagint (the ancient Greek Old Testament)
LXX
The Vulgate (the Latin translation of the bible by St. Jerome)
Vulg.
Abbreviations for ancient primary sources are listed in various places in SBLHS. Alphabetically by full title in §8.4.1 (pages 171-216) and by abbreviation in §8.4.2 (pages 216-260).
Ancient Near Eastern Texts Relating to the Old Testament. Edited by James A. Pritchard. 3rd ed. Princeton: Princeton University Press, 1969.
ANET
Ante-Nicene Fathers
ANF
The Apocrypha and Pseudepigrapha of the Old Testament. Edited by Robert H. Charles. 2 vols. Oxford: Clarendon, 1913.
APOT
Biblia Hebraica Quinta.Edited by Adrian Schenker et al. Stuttgart: Deutsche Bibelgesellschaft, 2004.
BHQ
Biblia Hebraica Stuttgartensia. Edited by Karl Elliger and Wilhelm Rudolph. Stuttgart: Deutsche Bibelgeselschaft, 1983.
BHS
The Context of Scripture. Edited by William W. Hallo. 3 vols. Leiden: Brill, 1997-2002.
COS
The Greek New Testament. Edited by Bruce M. Metzger, et al. 5th rev. ed. Stuttgart: Deutsche Bibelgeselschaft, 2014.
UBS5
The Greek New Testament: SBL Edition. Edited by Michael W. Holmes. Atlanta: Society of Biblical Literature, 2010.
SBLGNT
Novum Testamentum Graece. Edited by Nestle and Aland, et al. 28th ed. Stuttgart: Deutsche Bibelgeselschaft, 2012.
NA28
Nicene and Post-Nicene Fathers, Series 1
NPNF1
Nicene and Post-Nicene Fathers, Series 2
NPNF2
Old Testament Pseudepigrapha. Edited by James H. Charlesworth. 2 vols. New York: Doubleday, 1983, 1985.
OTP