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 |
|---|---|---|---|---|---|---|---|---|---|
| 3261 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_2M_3$ | 0.6311 | 0.7832 | 0.8057 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.7651], q:[0.4175, 0.7825], qb:[0.3825, 0.8175], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [-2]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_2$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_1M_5$, $ M_2M_5$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_5q_2\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ M_3M_5$, $ \phi_1q_2^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$ | $M_3\phi_1^2$, $ \phi_1^3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$ | 2 | t^2.3 + 3*t^2.4 + 2*t^3.5 + 2*t^3.6 + t^3.7 + t^4.59 + 3*t^4.7 + 7*t^4.8 + 2*t^5.79 + 6*t^5.9 + 2*t^6. + t^6.1 + t^6.89 + 6*t^6.99 + 7*t^7.1 + 9*t^7.2 - 2*t^7.3 + t^7.41 + 2*t^8.09 + 6*t^8.19 + 8*t^8.3 - 3*t^8.4 - t^8.5 - t^4.2/y - t^6.5/y - (2*t^6.6)/y + (3*t^7.7)/y + (5*t^7.8)/y + t^7.9/y + t^8.79/y + (6*t^8.9)/y - t^4.2*y - t^6.5*y - 2*t^6.6*y + 3*t^7.7*y + 5*t^7.8*y + t^7.9*y + t^8.79*y + 6*t^8.9*y | t^2.3/g1^2 + 3*t^2.4 + (2*t^3.5)/g1^2 + 2*t^3.6 + g1^2*t^3.7 + t^4.59/g1^4 + (3*t^4.7)/g1^2 + 7*t^4.8 + (2*t^5.79)/g1^4 + (6*t^5.9)/g1^2 + 2*t^6. + g1^2*t^6.1 + t^6.89/g1^6 + (6*t^6.99)/g1^4 + (7*t^7.1)/g1^2 + 9*t^7.2 - 2*g1^2*t^7.3 + g1^4*t^7.41 + (2*t^8.09)/g1^6 + (6*t^8.19)/g1^4 + (8*t^8.3)/g1^2 - 3*t^8.4 - g1^2*t^8.5 - t^4.2/y - t^6.5/(g1^2*y) - (2*t^6.6)/y + (3*t^7.7)/(g1^2*y) + (5*t^7.8)/y + (g1^2*t^7.9)/y + t^8.79/(g1^4*y) + (6*t^8.9)/(g1^2*y) - t^4.2*y - (t^6.5*y)/g1^2 - 2*t^6.6*y + (3*t^7.7*y)/g1^2 + 5*t^7.8*y + g1^2*t^7.9*y + (t^8.79*y)/g1^4 + (6*t^8.9*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3684 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_2M_3$ + $ M_6q_1\tilde{q}_2$ | 0.6499 | 0.8195 | 0.7931 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.7434, 0.7434], q:[0.4283, 0.7717], qb:[0.3717, 0.8283], phi:[0.4]] | 2*t^2.23 + 3*t^2.4 + 2*t^3.43 + 2*t^3.6 + 3*t^4.46 + 6*t^4.63 + 7*t^4.8 + 4*t^5.66 + 8*t^5.83 + t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2749 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.8476, 0.689, 1.1524, 0.3841, 0.77], q:[0.4229, 0.7295], qb:[0.4246, 0.8863], phi:[0.3841]] | t^2.07 + t^2.3 + t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.7 + t^3.93 + t^4.13 + t^4.37 + t^4.38 + 3*t^4.61 + t^4.62 + 3*t^4.85 + t^5.09 + t^5.52 + t^5.53 + t^5.76 + 3*t^5.77 - t^6. - t^4.15/y - t^4.15*y | detail |