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 |
|---|---|---|---|---|---|---|---|---|---|
| 4465 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_7$ | 0.6265 | 0.791 | 0.7921 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.7368, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 34377/54872, c: 21701/27436, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 14/19, M7: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_7$, $ q_2\tilde{q}_2$, $ M_4$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_3M_7$, $ M_6M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_3M_4$, $ M_4M_6$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_5$, $ M_7^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -2 | 2*t^2.21 + 2*t^2.53 + 2*t^2.84 + t^3.16 + 2*t^4.11 + 4*t^4.42 + 4*t^4.74 + 7*t^5.05 + 7*t^5.37 + 3*t^5.68 - 2*t^6. + t^6.32 + 7*t^6.63 + 7*t^6.95 + 11*t^7.26 + 13*t^7.58 + 11*t^7.89 + 2*t^8.21 - 2*t^8.53 - t^8.84 - t^4.26/y - (2*t^6.47)/y - t^6.79/y + t^7.42/y + (5*t^7.74)/y + (7*t^8.05)/y + (6*t^8.37)/y - t^4.26*y - 2*t^6.47*y - t^6.79*y + t^7.42*y + 5*t^7.74*y + 7*t^8.05*y + 6*t^8.37*y | 2*t^2.21 + 2*t^2.53 + 2*t^2.84 + t^3.16 + 2*t^4.11 + 4*t^4.42 + 4*t^4.74 + 7*t^5.05 + 7*t^5.37 + 3*t^5.68 - 2*t^6. + t^6.32 + 7*t^6.63 + 7*t^6.95 + 11*t^7.26 + 13*t^7.58 + 11*t^7.89 + 2*t^8.21 - 2*t^8.53 - t^8.84 - t^4.26/y - (2*t^6.47)/y - t^6.79/y + t^7.42/y + (5*t^7.74)/y + (7*t^8.05)/y + (6*t^8.37)/y - t^4.26*y - 2*t^6.47*y - t^6.79*y + t^7.42*y + 5*t^7.74*y + 7*t^8.05*y + 6*t^8.37*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 |
|---|---|---|---|---|---|---|---|---|
| 5966 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_7$ + $ M_4M_8$ | 0.6314 | 0.7992 | 0.7901 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.7368, 0.9474, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | 2*t^2.21 + 2*t^2.53 + 3*t^2.84 + 2*t^4.11 + 4*t^4.42 + 4*t^4.74 + 9*t^5.05 + 7*t^5.37 + 4*t^5.68 - 4*t^6. - t^4.26/y - t^4.26*y | detail | {a: 69291/109744, c: 43851/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 14/19, M7: 18/19, M8: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2423 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6661 | 0.8389 | 0.794 | [X:[1.5734], M:[0.4266, 1.1911, 0.7867, 0.8532, 0.8089, 0.7867, 0.8311], q:[0.7978, 0.7756], qb:[0.4377, 0.3712], phi:[0.4044]] | 2*t^2.36 + 2*t^2.43 + t^2.49 + t^2.56 + t^3.44 + t^3.71 + t^3.84 + t^4.65 + 4*t^4.72 + 3*t^4.79 + 6*t^4.85 + 4*t^4.92 + 2*t^4.99 + t^5.05 + t^5.12 + t^5.8 + 3*t^5.87 - 3*t^6. - t^4.21/y - t^4.21*y | detail |