Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.5556], qb:[0.5556], phi:[0.2222]] | [X:[[0, 2]], M:[[0, -4]], q:[[-1, 4]], qb:[[1, 0]], phi:[[0, -1]]] | 2 | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 5/9, qb1: 5/9, phi1: 2/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ X_1$, $ M_1^2$ | . | -4 | t^2.67+3*t^4.+t^4.67+t^5.33-4*t^6.+t^7.33+7*t^8.-t^8.67-t^3.67/y-t^6.33/y+t^7./y-t^3.67*y-t^6.33*y+t^7.*y | t^2.67/g2^4+(g1^2*t^4.)/g2+g2^3*t^4.+(g2^7*t^4.)/g1^2+g2^2*t^4.67+t^5.33/g2^8-2*t^6.-(g1^2*t^6.)/g2^4-(g2^4*t^6.)/g1^2+t^7.33/g2^2+t^8./g2^12+t^8./g2^3+(g1^4*t^8.)/g2^2+g1^2*g2^2*t^8.+g2^6*t^8.+(g2^10*t^8.)/g1^2+(g2^14*t^8.)/g1^4-t^8.67/g2^4-t^3.67/(g2*y)-t^6.33/(g2^5*y)+(g2^3*t^7.)/y-(t^3.67*y)/g2-(t^6.33*y)/g2^5+g2^3*t^7.*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 6 | $\phi_1^2X_1$ + $ M_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[1.0], q:[0.5], qb:[0.5], phi:[0.25]] | t^3.+3*t^3.75+t^4.5-3*t^6.-t^3.75/y-t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 1/2, qb1: 1/2, phi1: 1/4} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 67 | SU2adj1nf2 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.8889, 1.1111], qb:[0.5556, 0.5556], phi:[0.2222]] | t^2.67+3*t^4.+t^4.67+t^5.33-4*t^6.-t^3.67/y-t^3.67*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 8/9, q2: 10/9, qb1: 5/9, qb2: 5/9, phi1: 2/9} |
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 1 | SU2adj1nf1 | $\phi_1^2X_1$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], M:[], q:[0.5042], qb:[0.5042], phi:[0.2479]] | t^3.03+3*t^3.77+t^4.51-4*t^6.-t^3.74/y-t^3.74*y | detail |