Question: A representation is said to be complex if it is equivalent to its complex conjugate representation. Show that the (mathbf{2}) and (overline{mathbf{2}}) representations are equivalent

A representation is said to be complex if it is equivalent to its complex conjugate representation. Show that the $\mathbf{2}$ and $\overline{\mathbf{2}}$ representations are equivalent for $\mathrm{SU}(2)$ but $\mathbf{3} eq \overline{\mathbf{3}}$ for SU(3). Look at the weight space.

Step by Step Solution

★★★★★

3.46 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Modern Physics Questions!

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

Give the typing rules for Peano natural numbers and their eliminator.(ii) Using the rules given above, define the addition function.] (iii) Let a binary tree be either a leaf Leaf or a node...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Based on the case of Starla Rollins v. SEIU answer the following questions 1.What are the facts in favor of Ms. Rollins on the issue of duty of fair representation by the union? 2.What are the facts...

Labor case Oct. 26 A union may have breached its duty to a laid-off hospital worker by failing to recognize an e-mail agreement that allowed her to return to her old job after a workforce reduction,...

Read Article 20 and 21 included below. What did you learn? Explain your impressions of these recent events in legal fees regulation. ARTICLE 20: ETHICS ABA issues new guidance for splitting fees in...

A strict partial order on a finite set of elements S, is a binary relation that is irreflexive, anti- symmetric, and transitive. (These properties of relations are assumed to be background knowledge....

Question 4 2 pts licies 2 5 cordings urces luation eams eboard ) After talking with your boss, the VP of Marketing, you have learned a lot about the current customer base and target audience. The...

A politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is...

Air goes through a polytropic process from 125 kPa, 325 K to 300 kPa and 500 K. Find the polytropic exponent n and the specific work in the process.

Seloct the secenario that is an evample of a legal financial interwecliation. Btna giving Sid $ 1 0 , 0 0 0 to purchase a used car Marilyw encouraging Howand to get tinancial atvice before purchasing...

1. If the treasury stock approach is used, Pets income and controlling share of consolidated net income for 2016 will be computed: a $100,000 (90% $60,000) b $100,000 (90% $67,500) c $100,000 ...

Insurance agents are intermediaries who help other members of the channel by providing information and handling the selling function. Does it make sense for an insurance agent to specialize and work...

Discuss the Place objectives and distribution arrangements that are appropriate for the following products (indicate any special assumptions you have to make to obtain an answer): a. A postal scale...

Give an example of a producer that uses two or more different channels of distribution. Briefly discuss what problems this might cause.

What I have so far: AA (nearest 1000) is 298,000 BB (nearest 100) is 292,500 CC (nearest 1000) is 1,100,000 DD (nearest 100) is 300,000 EE (nearest 100) is 283,400 FF= 977,000 GG=283,400 HH= 128,400...

Question 2 If we swap the definitions of plaquette and vertex operators such that the plaquette operator is a product of z and the vertex operator is a product of x , do we still get a toric code? No...

main.py Load default tem S Car: def _ init _ ( self , model _ year, purchase _ price, current value ) : ) = ( 0 self.purchase _ price = 0 , # Declare purchase _ price attribute self.current _ value =...