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 |
|---|---|---|---|---|---|---|---|---|---|
| 673 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_5$ | 0.6135 | 0.751 | 0.8169 | [X:[], M:[0.8, 1.2, 0.8, 0.8, 1.2], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 1227/2000, c: 751/1000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 6/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ M_5$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$ | $M_1M_2$, $ M_2M_3$, $ M_1M_5$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_1q_2$, $ M_3\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_1q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | 9 | 3*t^2.4 + 6*t^3.6 + 7*t^4.8 + 9*t^6. + 17*t^7.2 + 8*t^8.4 - t^4.2/y - (2*t^6.6)/y + (5*t^7.8)/y - t^4.2*y - 2*t^6.6*y + 5*t^7.8*y | t^2.4 + t^2.4/g1 + g1*t^2.4 + 2*t^3.6 + t^3.6/g1^2 + t^3.6/g1 + g1*t^3.6 + g1^2*t^3.6 + 3*t^4.8 + t^4.8/g1^2 + t^4.8/g1 + g1*t^4.8 + g1^2*t^4.8 + t^6. + t^6./g1^3 + t^6./g1^2 + (2*t^6.)/g1 + 2*g1*t^6. + g1^2*t^6. + g1^3*t^6. + 3*t^7.2 + t^7.2/g1^4 + (2*t^7.2)/g1^3 + (2*t^7.2)/g1^2 + (2*t^7.2)/g1 + 2*g1*t^7.2 + 2*g1^2*t^7.2 + 2*g1^3*t^7.2 + g1^4*t^7.2 + 2*t^8.4 + t^8.4/g1^4 + t^8.4/g1^3 + (2*t^8.4)/g1^2 - t^8.4/g1 - g1*t^8.4 + 2*g1^2*t^8.4 + g1^3*t^8.4 + g1^4*t^8.4 - t^4.2/y - t^6.6/(g1*y) - (g1*t^6.6)/y + t^7.8/y + (2*t^7.8)/(g1*y) + (2*g1*t^7.8)/y - t^4.2*y - (t^6.6*y)/g1 - g1*t^6.6*y + t^7.8*y + (2*t^7.8*y)/g1 + 2*g1*t^7.8*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 |
|---|---|---|---|---|---|---|---|---|
| 1081 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2^2$ | 0.6312 | 0.7836 | 0.8055 | [X:[], M:[0.7807, 1.2, 0.8193, 0.8, 1.2, 0.7613], q:[0.8, 0.4193], qb:[0.8, 0.3807], phi:[0.4]] | t^2.28 + t^2.34 + t^2.4 + t^2.46 + t^3.48 + t^3.54 + 2*t^3.6 + t^3.66 + t^4.57 + t^4.63 + 2*t^4.68 + 2*t^4.74 + 3*t^4.8 + t^4.86 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 413 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ | 0.63 | 0.78 | 0.8077 | [X:[], M:[0.8, 1.2, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 63/100, c: 39/50, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |