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 |
|---|---|---|---|---|---|---|---|---|---|
| 4386 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_2M_7$ | 0.7022 | 0.8718 | 0.8054 | [X:[], M:[0.7143, 1.1429, 1.0, 0.9762, 0.7381, 1.0238, 0.8571, 0.9762], q:[0.6667, 0.619], qb:[0.3571, 0.6429], phi:[0.4286]] | [X:[], M:[[0], [0], [0], [1], [-1], [-1], [0], [1]], q:[[-1], [1]], qb:[[0], [0]], phi:[[0]]] | 1 | {a: 1101/1568, c: 1367/1568, M1: 5/7, M2: 8/7, M3: 1, M4: 41/42, M5: 31/42, M6: 43/42, M7: 6/7, M8: 41/42, q1: 2/3, q2: 13/21, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_4$, $ M_8$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_1M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_7^2$, $ M_5M_8$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4M_7$, $ M_7M_8$, $ M_1M_2$, $ M_3M_7$, $ M_2M_5$, $ M_4^2$, $ M_4M_8$, $ M_8^2$ | . | -2 | t^2.14 + t^2.21 + t^2.57 + 2*t^2.93 + t^3. + t^3.43 + t^3.93 + t^4.21 + 2*t^4.29 + 2*t^4.36 + t^4.43 + t^4.71 + t^4.79 + t^5. + 2*t^5.07 + 5*t^5.14 + t^5.21 + t^5.29 + 2*t^5.5 + 2*t^5.57 + t^5.64 + 2*t^5.86 - 2*t^6. - t^6.07 + 2*t^6.36 + 3*t^6.43 + 3*t^6.5 + 2*t^6.57 + t^6.64 + 2*t^6.86 + 2*t^6.93 + t^7. + 2*t^7.14 + 3*t^7.21 + 4*t^7.29 + 4*t^7.36 + t^7.43 + t^7.5 + t^7.57 + 2*t^7.64 + 6*t^7.71 + 2*t^7.79 + 3*t^7.86 + 2*t^7.93 + 3*t^8. + 4*t^8.07 - t^8.14 - 2*t^8.21 + 2*t^8.43 + t^8.5 + t^8.57 + t^8.64 + 2*t^8.71 + 4*t^8.79 - 5*t^8.93 - t^4.29/y - t^6.43/y - t^6.5/y - t^6.86/y - t^7.21/y + (2*t^7.36)/y + (2*t^7.71)/y + t^7.79/y + (3*t^8.07)/y + (4*t^8.14)/y + t^8.21/y + (2*t^8.5)/y + t^8.57/y - t^8.71/y + t^8.86/y + (2*t^8.93)/y - t^4.29*y - t^6.43*y - t^6.5*y - t^6.86*y - t^7.21*y + 2*t^7.36*y + 2*t^7.71*y + t^7.79*y + 3*t^8.07*y + 4*t^8.14*y + t^8.21*y + 2*t^8.5*y + t^8.57*y - t^8.71*y + t^8.86*y + 2*t^8.93*y | t^2.14 + t^2.21/g1 + t^2.57 + 2*g1*t^2.93 + t^3. + t^3.43 + t^3.93/g1 + g1*t^4.21 + 2*t^4.29 + (2*t^4.36)/g1 + t^4.43/g1^2 + t^4.71 + t^4.79/g1 + g1^2*t^5. + 2*g1*t^5.07 + 5*t^5.14 + t^5.21/g1 + t^5.29/g1^2 + 2*g1*t^5.5 + 2*t^5.57 + t^5.64/g1 + 2*g1^2*t^5.86 - 2*t^6. - t^6.07/g1 + 2*g1*t^6.36 + 3*t^6.43 + (3*t^6.5)/g1 + (2*t^6.57)/g1^2 + t^6.64/g1^3 + 2*t^6.86 + (2*t^6.93)/g1 + t^7./g1^2 + 2*g1^2*t^7.14 + 3*g1*t^7.21 + 4*t^7.29 + (4*t^7.36)/g1 + t^7.43/g1^2 + t^7.5/g1^3 + g1^2*t^7.57 + 2*g1*t^7.64 + 6*t^7.71 + (2*t^7.79)/g1 + (3*t^7.86)/g1^2 + 2*g1^3*t^7.93 + 3*g1^2*t^8. + 4*g1*t^8.07 - t^8.14 - (2*t^8.21)/g1 + 2*g1^2*t^8.43 + g1*t^8.5 + t^8.57 + t^8.64/g1 + (2*t^8.71)/g1^2 + (2*t^8.79)/g1^3 + 2*g1^3*t^8.79 + t^8.86/g1^4 - g1^2*t^8.86 - 5*g1*t^8.93 - t^4.29/y - t^6.43/y - t^6.5/(g1*y) - t^6.86/y - (g1*t^7.21)/y + (2*t^7.36)/(g1*y) + (2*t^7.71)/y + t^7.79/(g1*y) + (3*g1*t^8.07)/y + (4*t^8.14)/y + t^8.21/(g1*y) + (2*g1*t^8.5)/y + t^8.57/y - t^8.71/(g1^2*y) + (g1^2*t^8.86)/y + (2*g1*t^8.93)/y - t^4.29*y - t^6.43*y - (t^6.5*y)/g1 - t^6.86*y - g1*t^7.21*y + (2*t^7.36*y)/g1 + 2*t^7.71*y + (t^7.79*y)/g1 + 3*g1*t^8.07*y + 4*t^8.14*y + (t^8.21*y)/g1 + 2*g1*t^8.5*y + t^8.57*y - (t^8.71*y)/g1^2 + g1^2*t^8.86*y + 2*g1*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 5865 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_2M_7$ + $ M_2M_9$ | 0.7147 | 0.8933 | 0.8001 | [X:[], M:[0.7143, 1.1429, 1.0, 0.9762, 0.7381, 1.0238, 0.8571, 0.9762, 0.8571], q:[0.6667, 0.619], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.14 + t^2.21 + 2*t^2.57 + 2*t^2.93 + t^3. + t^3.93 + t^4.21 + 2*t^4.29 + 2*t^4.36 + t^4.43 + 2*t^4.71 + 2*t^4.79 + t^5. + 2*t^5.07 + 7*t^5.14 + t^5.21 + t^5.29 + 4*t^5.5 + 2*t^5.57 + 2*t^5.86 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 7845/10976, c: 9805/10976, M1: 5/7, M2: 8/7, M3: 1, M4: 41/42, M5: 31/42, M6: 43/42, M7: 6/7, M8: 41/42, M9: 6/7, q1: 2/3, q2: 13/21, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| 5864 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_2M_7$ + $ M_4M_9$ | 0.7015 | 0.8716 | 0.8048 | [X:[], M:[0.7143, 1.1429, 1.0, 1.0086, 0.7057, 0.9914, 0.8571, 1.0086, 0.9914], q:[0.6343, 0.6514], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.12 + t^2.14 + t^2.57 + t^2.97 + t^3. + t^3.03 + t^3.43 + t^3.83 + t^4.23 + 2*t^4.26 + 2*t^4.29 + t^4.31 + t^4.69 + t^4.71 + 2*t^5.09 + 2*t^5.12 + 4*t^5.14 + t^5.17 + t^5.19 + 2*t^5.55 + 2*t^5.57 + t^5.6 + t^5.95 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 5862 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_2M_7$ + $ M_5M_9$ | 0.6829 | 0.8371 | 0.8158 | [X:[], M:[0.7143, 1.1429, 1.0, 0.9616, 0.7527, 1.0384, 0.8571, 0.9616, 1.2473], q:[0.6812, 0.6045], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.14 + t^2.57 + 2*t^2.88 + t^3. + t^3.43 + t^3.74 + t^3.97 + t^4.17 + 2*t^4.29 + t^4.4 + t^4.71 + t^4.91 + 2*t^5.03 + 3*t^5.14 + t^5.37 + 2*t^5.46 + 2*t^5.57 + 2*t^5.77 + t^5.88 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 5863 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_2M_7$ + $ M_7M_9$ | 0.6896 | 0.8503 | 0.811 | [X:[], M:[0.7143, 1.1429, 1.0, 0.9762, 0.7381, 1.0238, 0.8571, 0.9762, 1.1429], q:[0.6667, 0.619], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.14 + t^2.21 + 2*t^2.93 + t^3. + 2*t^3.43 + t^3.93 + t^4.21 + 2*t^4.29 + 2*t^4.36 + t^4.43 + t^5. + 2*t^5.07 + 4*t^5.14 + t^5.21 + t^5.29 + 2*t^5.57 + 2*t^5.64 + 2*t^5.86 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 7569/10976, c: 9333/10976, M1: 5/7, M2: 8/7, M3: 1, M4: 41/42, M5: 31/42, M6: 43/42, M7: 6/7, M8: 41/42, M9: 8/7, q1: 2/3, q2: 13/21, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2370 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ | 0.7333 | 0.912 | 0.804 | [X:[], M:[0.8598, 1.0701, 1.0, 0.9947, 0.8651, 1.0053, 0.6753, 0.9947], q:[0.5754, 0.5648], qb:[0.4299, 0.5701], phi:[0.4649]] | t^2.03 + t^2.58 + t^2.6 + 2*t^2.98 + t^3. + t^3.21 + t^3.44 + t^4.05 + t^4.38 + t^4.39 + t^4.41 + t^4.61 + t^4.62 + t^4.78 + t^4.8 + 2*t^4.82 + t^4.83 + t^4.85 + 2*t^5.01 + t^5.03 + t^5.16 + t^5.17 + t^5.19 + t^5.24 + t^5.46 + t^5.56 + 2*t^5.58 + t^5.79 + t^5.81 + 2*t^5.97 - 3*t^6. - t^4.39/y - t^4.39*y | detail |