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 |
|---|---|---|---|---|---|---|---|---|---|
| 3311 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ | 0.6155 | 0.7965 | 0.7728 | [X:[], M:[0.9474, 1.1579, 0.9474, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 67551/109744, c: 43703/54872, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_4$, $ M_5$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 2 | 2*t^2.21 + 2*t^2.53 + 2*t^2.84 + 2*t^3.47 + 2*t^3.79 + 3*t^4.11 + 3*t^4.42 + 4*t^4.74 + 7*t^5.05 + 4*t^5.37 + 4*t^5.68 + 2*t^6. + 8*t^6.32 + 10*t^6.63 + 8*t^6.95 + 9*t^7.26 + 11*t^7.58 + 12*t^7.89 + 7*t^8.21 + 5*t^8.53 + 8*t^8.84 - t^4.58/y - t^7.11/y + (5*t^7.74)/y + (6*t^8.05)/y + (4*t^8.37)/y + (5*t^8.68)/y - t^4.58*y - t^7.11*y + 5*t^7.74*y + 6*t^8.05*y + 4*t^8.37*y + 5*t^8.68*y | 2*t^2.21 + 2*t^2.53 + 2*t^2.84 + 2*t^3.47 + 2*t^3.79 + 3*t^4.11 + 3*t^4.42 + 4*t^4.74 + 7*t^5.05 + 4*t^5.37 + 4*t^5.68 + 2*t^6. + 8*t^6.32 + 10*t^6.63 + 8*t^6.95 + 9*t^7.26 + 11*t^7.58 + 12*t^7.89 + 7*t^8.21 + 5*t^8.53 + 8*t^8.84 - t^4.58/y - t^7.11/y + (5*t^7.74)/y + (6*t^8.05)/y + (4*t^8.37)/y + (5*t^8.68)/y - t^4.58*y - t^7.11*y + 5*t^7.74*y + 6*t^8.05*y + 4*t^8.37*y + 5*t^8.68*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 |
|---|---|---|---|---|---|---|---|---|
| 3746 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ | 0.6292 | 0.82 | 0.7673 | [X:[], M:[0.9474, 1.1579, 0.9474, 0.8421, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.21 + 3*t^2.53 + 2*t^2.84 + t^3.47 + 2*t^3.79 + 3*t^4.11 + 3*t^4.42 + 6*t^4.74 + 10*t^5.05 + 6*t^5.37 + 2*t^5.68 + t^6. - t^4.58/y - t^4.58*y | detail | {a: 34527/54872, c: 11249/13718, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 16/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2791 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6157 | 0.7974 | 0.7721 | [X:[], M:[0.9456, 1.1631, 0.9456, 0.8369, 0.8369], q:[0.7364, 0.318], qb:[0.4267, 0.4102], phi:[0.5272]] | t^2.18 + t^2.23 + 2*t^2.51 + 2*t^2.84 + t^3.44 + t^3.49 + t^3.77 + t^3.82 + t^4.04 + t^4.09 + t^4.14 + t^4.37 + t^4.42 + t^4.47 + 2*t^4.7 + 2*t^4.74 + 5*t^5.02 + 2*t^5.07 + 4*t^5.35 + t^5.62 + 3*t^5.67 + 2*t^5.95 - t^4.58/y - t^4.58*y | detail |