8.251 Test
B. Zwiebach
Wednesday May 2, 2007
Only p ersonal 2-page notes allowed. Formula sheet on the last page. Test duration: 2 hours.
PROBLEM 1. (15 p oints) Conserved current for a complex scalar eld.
Consider the following action for a complex scala
8.251 Final Exam
B. Zwiebach
Wednesday May 23, 2007
Only p ersonal 3-page notes allowed.
Formula sheets on the last two pages.
Test duration: 3 hours.
PROBLEM 1. (25 p oints) Quantum version of the rotating op en string.
We have learned that in the classi
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
8.251: String Theory for Undergraduates
Prof. Barton Zwiebach
April 30, 2007
REVIEW NOTES FOR TEST 2
Notes by Alan Guth
I. World-Sheet Currents:
No ethers Theorem:
Suppose than an action of the form
8.251 2005 Midterm Solutions
Question 1
z = x
=0
y = x
=
x = x
X 0 (, 1 )
X 1 (, 1 )
all Free
X 2 (, 1 )
X 0 (, 0),
X 1 (, 0),
X 2 (, 0),
X 3 (, 0) = a
X 3 (, 1 ) = 0
Dirichlet
Question 2
y
i
x
(a)
z z+i
F:
0y<1
M:
innite cylinder
(b)
z 2z
1
This scale