A/W means Autumn/Winter
The Oxford dictionary recently adopted a slew of new words. A/W is among them. Here's a brief overview of the word:
Oxford Definition
A/W, according to the new definition means "autumn/winter (denoting to fashion designed for the autumn and winter seasons of a particular year)." It's not abundantly clear why something that means "autumn/winter" has to be related to fashion. I say A/W can go anywhere seasonal words can go, but then again, I'm just a dude and this is the Oxford dictionary. If you want to dive more down that rabbit hole, you ought to check out this David Foster Wallace classic: Authority and American Usage.
Popular Alternative 1
Now, A/W doesn't necessarily mean this, however, since most people don't run in fashion circles where this kind of thing is relevant. In fact, the most common use of A/W is to refer to the hamburger, hot dog, and root beer fast food chain known more correctly as A&W.
Popular(?) Alternative 2
According to this website, A/W is internet slang for "anyway." There may be some validity to this as indicated by the existence of this UrbanDictionary page, but in any case, this doesn't appear to be a very popular use of the term, at all.
Here's a picture with all three usages of the word:

Check out other definitions of new words:
apols | a/w | babymoon | balayage | bitcoin | blondie | buzzworthy | byod | cake pop
chandelier earring | click and collect | dappy | derp | digital detox| double denim | emoji
fauxhawk | fil | flatform| FOMO | food baby | geek chic | girl crush | grats| guac | hackerspace
Internet of Things | jorts| LDR| MOOC | omnishambles | pear cider | phablet |pixie cut | selfie
space tourism | squee| srsly | street food | TL;DR | twerk |unlike | vom
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