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 |
|---|---|---|---|---|---|---|---|---|---|
| 880 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6855 | 0.8928 | 0.7678 | [X:[], M:[0.8171, 1.1829, 0.8171, 0.6829, 0.6829], q:[0.75, 0.4329], qb:[0.4085, 0.4085], phi:[0.5]] | [X:[], M:[[2], [-2], [2], [-2], [-2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ 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_1^2$, $ M_1M_3$, $ M_3^2$, $ \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_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | $q_1q_2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$ | 1 | 2*t^2.05 + 2*t^2.45 + 2*t^2.52 + t^3. + 2*t^3.48 + t^3.95 + 2*t^4.02 + 4*t^4.1 + 4*t^4.5 + 4*t^4.57 + 3*t^4.9 + 4*t^4.98 + 5*t^5.05 + 2*t^5.45 + 6*t^5.52 + 2*t^5.93 + t^6. + 2*t^6.07 + 6*t^6.15 + 2*t^6.4 + 4*t^6.48 + 10*t^6.55 + 8*t^6.62 + 6*t^6.95 + 6*t^7.02 + 9*t^7.1 + 4*t^7.35 + 4*t^7.43 + 6*t^7.5 + 12*t^7.57 + 3*t^7.9 + 6*t^7.98 + 4*t^8.05 + 4*t^8.12 + 9*t^8.2 + 2*t^8.38 - 2*t^8.45 + 12*t^8.6 + 12*t^8.67 + 3*t^8.85 + 4*t^8.93 - t^4.5/y - (2*t^6.55)/y - t^6.95/y + t^7.1/y + (4*t^7.5)/y + (4*t^7.57)/y + t^7.9/y + (4*t^7.98)/y + (4*t^8.05)/y + (4*t^8.45)/y + (6*t^8.52)/y - (3*t^8.6)/y + (4*t^8.93)/y - t^4.5*y - 2*t^6.55*y - t^6.95*y + t^7.1*y + 4*t^7.5*y + 4*t^7.57*y + t^7.9*y + 4*t^7.98*y + 4*t^8.05*y + 4*t^8.45*y + 6*t^8.52*y - 3*t^8.6*y + 4*t^8.93*y | (2*t^2.05)/g1^2 + 2*g1^2*t^2.45 + (2*t^2.52)/g1 + t^3. + 2*g1*t^3.48 + g1^2*t^3.95 + (2*t^4.02)/g1 + (4*t^4.1)/g1^4 + 4*t^4.5 + (4*t^4.57)/g1^3 + 3*g1^4*t^4.9 + 4*g1*t^4.98 + (5*t^5.05)/g1^2 + 2*g1^2*t^5.45 + (6*t^5.52)/g1 + 2*g1^3*t^5.93 + t^6. + (2*t^6.07)/g1^3 + (6*t^6.15)/g1^6 + 2*g1^4*t^6.4 + 4*g1*t^6.48 + (10*t^6.55)/g1^2 + (8*t^6.62)/g1^5 + 6*g1^2*t^6.95 + (6*t^7.02)/g1 + (9*t^7.1)/g1^4 + 4*g1^6*t^7.35 + 4*g1^3*t^7.43 + 6*t^7.5 + (12*t^7.57)/g1^3 + 3*g1^4*t^7.9 + 6*g1*t^7.98 + (4*t^8.05)/g1^2 + (4*t^8.12)/g1^5 + (9*t^8.2)/g1^8 + 2*g1^5*t^8.38 - 2*g1^2*t^8.45 + (12*t^8.6)/g1^4 + (12*t^8.67)/g1^7 + 3*g1^6*t^8.85 + 4*g1^3*t^8.93 - t^4.5/y - (2*t^6.55)/(g1^2*y) - (g1^2*t^6.95)/y + t^7.1/(g1^4*y) + (4*t^7.5)/y + (4*t^7.57)/(g1^3*y) + (g1^4*t^7.9)/y + (4*g1*t^7.98)/y + (4*t^8.05)/(g1^2*y) + (4*g1^2*t^8.45)/y + (6*t^8.52)/(g1*y) - (3*t^8.6)/(g1^4*y) + (4*g1^3*t^8.93)/y - t^4.5*y - (2*t^6.55*y)/g1^2 - g1^2*t^6.95*y + (t^7.1*y)/g1^4 + 4*t^7.5*y + (4*t^7.57*y)/g1^3 + g1^4*t^7.9*y + 4*g1*t^7.98*y + (4*t^8.05*y)/g1^2 + 4*g1^2*t^8.45*y + (6*t^8.52*y)/g1 - (3*t^8.6*y)/g1^4 + 4*g1^3*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 |
|---|---|---|---|---|---|---|---|---|
| 1370 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.7062 | 0.9336 | 0.7565 | [X:[], M:[0.8189, 1.1811, 0.8189, 0.6811, 0.6811, 0.6811], q:[0.75, 0.4311], qb:[0.4095, 0.4095], phi:[0.5]] | 3*t^2.04 + 2*t^2.46 + 2*t^2.52 + t^3. + 2*t^3.48 + 2*t^4.02 + 7*t^4.09 + 6*t^4.5 + 6*t^4.56 + 3*t^4.91 + 4*t^4.98 + 6*t^5.04 + 2*t^5.46 + 8*t^5.52 + 2*t^5.94 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 2048 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6994 | 0.9174 | 0.7624 | [X:[], M:[0.8254, 1.1746, 0.8254, 0.6746, 0.6746, 0.8373], q:[0.75, 0.4246], qb:[0.4127, 0.4127], phi:[0.5]] | 2*t^2.02 + 2*t^2.48 + 3*t^2.51 + t^3. + t^3.49 + t^3.98 + 2*t^4.01 + 4*t^4.05 + 4*t^4.5 + 6*t^4.54 + 3*t^4.95 + 6*t^4.99 + 8*t^5.02 + 2*t^5.48 + 5*t^5.51 - t^4.5/y - t^4.5*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 566 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.06 + 2*t^2.44 + 2*t^2.53 + t^3. + 2*t^3.47 + 2*t^3.94 + 2*t^4.03 + 2*t^4.11 + 2*t^4.5 + 2*t^4.58 + 3*t^4.89 + 4*t^4.97 + 4*t^5.06 + 2*t^5.44 + 4*t^5.53 + 2*t^5.92 + t^6. - t^4.5/y - t^4.5*y | detail |