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 |
|---|---|---|---|---|---|---|---|---|---|
| 46440 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ + $ M_3q_2\tilde{q}_2$ + $ M_1X_1$ | 0.6363 | 0.7702 | 0.8261 | [X:[1.4286], M:[0.5714, 1.1429, 0.8571], q:[0.7857, 0.6429], qb:[0.3571, 0.5], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 873/1372, c: 4227/5488, X1: 10/7, M1: 4/7, M2: 8/7, M3: 6/7, q1: 11/14, q2: 9/14, qb1: 5/14, qb2: 1/2, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$ | $M_3q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_2$ | 3 | 2*t^2.57 + t^3. + 3*t^3.43 + 2*t^3.86 + 3*t^4.29 + t^4.71 + 3*t^5.14 + 3*t^6. + 2*t^6.43 + 6*t^6.86 + 5*t^7.29 + 9*t^7.71 + 3*t^8.14 + 4*t^8.57 - t^4.29/y - t^6.86/y + t^7.71/y + t^8.14/y + (2*t^8.57)/y - t^4.29*y - t^6.86*y + t^7.71*y + t^8.14*y + 2*t^8.57*y | 2*t^2.57 + t^3. + 3*t^3.43 + 2*t^3.86 + 3*t^4.29 + t^4.71 + 3*t^5.14 + 3*t^6. + 2*t^6.43 + 6*t^6.86 + 5*t^7.29 + 9*t^7.71 + 3*t^8.14 + 4*t^8.57 - t^4.29/y - t^6.86/y + t^7.71/y + t^8.14/y + (2*t^8.57)/y - t^4.29*y - t^6.86*y + t^7.71*y + t^8.14*y + 2*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 46906 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ + $ M_3q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_4q_2\tilde{q}_2$ | 0.6489 | 0.7917 | 0.8196 | [X:[1.4286], M:[0.5714, 1.1429, 0.8571, 0.8571], q:[0.7857, 0.6429], qb:[0.3571, 0.5], phi:[0.4286]] | 3*t^2.57 + t^3. + 2*t^3.43 + 2*t^3.86 + 3*t^4.29 + t^4.71 + 6*t^5.14 + t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3561/5488, c: 4345/5488, X1: 10/7, M1: 4/7, M2: 8/7, M3: 6/7, M4: 6/7, q1: 11/14, q2: 9/14, qb1: 5/14, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46216 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_2M_3$ | 0.6804 | 0.8399 | 0.81 | [X:[], M:[0.6836, 1.1055, 0.8945], q:[0.7764, 0.5401], qb:[0.4599, 0.4346], phi:[0.4473]] | t^2.05 + 2*t^2.68 + t^2.92 + t^3. + t^3.63 + t^3.71 + t^3.95 + t^4.03 + 2*t^4.1 + t^4.27 + t^4.34 + t^4.58 + 2*t^4.73 + t^4.97 + t^5.05 + 3*t^5.37 + 2*t^5.61 + 2*t^5.68 + t^5.85 - t^6. - t^4.34/y - t^4.34*y | detail |