diff --git a/alpha/GlueonAdS/summary.md b/alpha/GlueonAdS/summary.md
index bc892f4..f8f3d95 100644
--- a/alpha/GlueonAdS/summary.md
+++ b/alpha/GlueonAdS/summary.md
@@ -2,15 +2,15 @@ Okay thank you very much!
 
 So we know that in AdS/CFT it's possible to "move the CFT into the bulk" with the TTbar deformation.
 
-The dual theory then lives on this cutoff cylinder within the bulk.
+The dual theory then lives on this cutoff cylinder with a finite radius.
 
 However, this only works for one sign of the deformation parameter mu,
 while TTbar itself should be valid for both signs of mu.
 
-In this work we generalize the proposal by "going beyond infinity", or "pushing the CFT outwards".
+In this work we generalize the proposal by "going beyond infinity" and "pushing the CFT outwards".
 We call this the glue-on proposal.
 
 We hope that this extended geometry will help us understand more about TTbar holography,
-including its entanglement entropy.
+incl. its entanglement entropy.
 
 You can find me on the third floor if you are interested. Thank you!