  Big-bang nucleosynthesis (BBN) theory, together with the precise WMAP cosmic
baryon density, makes tight predictions for the abundances of the lightest
elements. Deuterium and 4He measurements agree well with expectations, but 7Li
observations lie a factor 3-4 below the BBN+WMAP prediction. This 4-5\sigma\
mismatch constitutes the cosmic "lithium problem," with disparate solutions
possible. (1) Astrophysical systematics in the observations could exist but are
increasingly constrained. (2) Nuclear physics experiments provide a wealth of
well-measured cross-section data, but 7Be destruction could be enhanced by
unknown or poorly-measured resonances, such as 7Be + 3He -> 10C^* -> p + 9B.
(3) Physics beyond the Standard Model can alter the 7Li abundance, though D and
4He must remain unperturbed; we discuss such scenarios, highlighting decaying
Supersymmetric particles and time-varying fundamental constants. Present and
planned experiments could reveal which (if any) of these is the solution to the
problem.
