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 |
|---|---|---|---|---|---|---|---|---|---|
| 47228 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ | 0.6892 | 0.8559 | 0.8053 | [X:[1.3333], M:[0.6667, 1.1111, 0.7545, 0.7133, 0.9767], q:[0.7778, 0.5556], qb:[0.4678, 0.4211], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-2], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3M_5$, $ M_3q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_2M_4$, $ M_2M_3$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -2 | t^2.14 + t^2.26 + t^2.67 + 2*t^2.93 + t^3.33 + t^3.6 + 2*t^4. + t^4.14 + t^4.26 + t^4.28 + 2*t^4.4 + t^4.53 + t^4.67 + t^4.81 + t^4.93 + 2*t^5.07 + 2*t^5.19 + t^5.33 + t^5.47 + 2*t^5.6 + 3*t^5.86 - 2*t^6. + t^6.14 + 3*t^6.26 + t^6.28 + t^6.42 + 3*t^6.53 + 2*t^6.54 + 2*t^6.67 + t^6.79 + 2*t^6.81 + 4*t^6.93 + t^6.95 + t^7.07 + 2*t^7.19 + 2*t^7.21 + 3*t^7.33 + 2*t^7.46 + 3*t^7.6 + t^7.61 + t^7.74 + 2*t^7.86 + 4*t^8. + 3*t^8.12 - t^8.14 - t^8.26 + 2*t^8.28 + t^8.4 + t^8.42 + 3*t^8.53 + t^8.54 + t^8.56 + 2*t^8.68 + 5*t^8.79 + 2*t^8.81 - 2*t^8.93 + 2*t^8.95 - t^4.33/y - t^6.47/y - t^6.6/y - t^7.26/y + (2*t^7.4)/y + t^7.81/y + t^7.93/y + (3*t^8.07)/y + (3*t^8.19)/y + t^8.47/y + (3*t^8.6)/y - t^8.61/y + t^8.86/y - t^4.33*y - t^6.47*y - t^6.6*y - t^7.26*y + 2*t^7.4*y + t^7.81*y + t^7.93*y + 3*t^8.07*y + 3*t^8.19*y + t^8.47*y + 3*t^8.6*y - t^8.61*y + t^8.86*y | t^2.14/g1^2 + g1*t^2.26 + t^2.67 + 2*g1*t^2.93 + t^3.33 + g1*t^3.6 + 2*t^4. + t^4.14/g1^2 + g1*t^4.26 + t^4.28/g1^4 + (2*t^4.4)/g1 + g1^2*t^4.53 + t^4.67 + t^4.81/g1^2 + g1*t^4.93 + (2*t^5.07)/g1 + 2*g1^2*t^5.19 + t^5.33 + t^5.47/g1^2 + 2*g1*t^5.6 + 3*g1^2*t^5.86 - 2*t^6. + t^6.14/g1^2 + 3*g1*t^6.26 + t^6.28/g1^4 + t^6.42/g1^6 + 3*g1^2*t^6.53 + (2*t^6.54)/g1^3 + 2*t^6.67 + g1^3*t^6.79 + (2*t^6.81)/g1^2 + 4*g1*t^6.93 + t^6.95/g1^4 + t^7.07/g1 + 2*g1^2*t^7.19 + (2*t^7.21)/g1^3 + 3*t^7.33 + 2*g1^3*t^7.46 + 3*g1*t^7.6 + t^7.61/g1^4 + t^7.74/g1 + 2*g1^2*t^7.86 + 4*t^8. + 3*g1^3*t^8.12 - t^8.14/g1^2 - g1*t^8.26 + (2*t^8.28)/g1^4 + t^8.4/g1 + t^8.42/g1^6 + 3*g1^2*t^8.53 + t^8.54/g1^3 + t^8.56/g1^8 + (2*t^8.68)/g1^5 + 5*g1^3*t^8.79 + (2*t^8.81)/g1^2 - 2*g1*t^8.93 + (2*t^8.95)/g1^4 - t^4.33/y - t^6.47/(g1^2*y) - (g1*t^6.6)/y - (g1*t^7.26)/y + (2*t^7.4)/(g1*y) + t^7.81/(g1^2*y) + (g1*t^7.93)/y + (3*t^8.07)/(g1*y) + (3*g1^2*t^8.19)/y + t^8.47/(g1^2*y) + (3*g1*t^8.6)/y - t^8.61/(g1^4*y) + (g1^2*t^8.86)/y - t^4.33*y - (t^6.47*y)/g1^2 - g1*t^6.6*y - g1*t^7.26*y + (2*t^7.4*y)/g1 + (t^7.81*y)/g1^2 + g1*t^7.93*y + (3*t^8.07*y)/g1 + 3*g1^2*t^8.19*y + (t^8.47*y)/g1^2 + 3*g1*t^8.6*y - (t^8.61*y)/g1^4 + g1^2*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 55486 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ | 0.6992 | 0.8728 | 0.8011 | [X:[1.3333], M:[0.6667, 1.1111, 0.7545, 0.7133, 0.9767, 0.8889], q:[0.7778, 0.5556], qb:[0.4678, 0.4211], phi:[0.4444]] | t^2.14 + t^2.26 + 2*t^2.67 + 2*t^2.93 + t^3.6 + 2*t^4. + t^4.14 + t^4.26 + t^4.28 + 2*t^4.4 + t^4.53 + t^4.67 + 2*t^4.81 + 2*t^4.93 + 2*t^5.07 + 2*t^5.19 + 3*t^5.33 + 3*t^5.6 + 3*t^5.86 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 55560 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ + $ M_3M_6$ | 0.6705 | 0.8223 | 0.8154 | [X:[1.3333], M:[0.6667, 1.1111, 0.7619, 0.6984, 0.9841, 1.2381], q:[0.7778, 0.5556], qb:[0.4603, 0.4286], phi:[0.4444]] | t^2.1 + t^2.67 + 2*t^2.95 + t^3.33 + t^3.62 + t^3.71 + 2*t^4. + t^4.1 + t^4.19 + t^4.29 + t^4.38 + t^4.67 + t^4.76 + 2*t^5.05 + t^5.33 + t^5.43 + t^5.62 + t^5.81 + 2*t^5.9 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 1577/2352, c: 967/1176, X1: 4/3, M1: 2/3, M2: 10/9, M3: 16/21, M4: 44/63, M5: 62/63, M6: 26/21, q1: 7/9, q2: 5/9, qb1: 29/63, qb2: 3/7, phi1: 4/9} |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46788 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6877 | 0.8539 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.05 + t^2.31 + t^2.67 + t^2.98 + t^3.02 + t^3.33 + t^3.64 + 2*t^4. + t^4.05 + t^4.1 + t^4.31 + 2*t^4.36 + t^4.62 + t^4.67 + t^4.72 + t^4.98 + t^5.02 + t^5.07 + t^5.28 + 2*t^5.33 + t^5.38 + t^5.64 + t^5.69 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |