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 |
|---|---|---|---|---|---|---|---|---|---|
| 46700 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3\phi_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.4816 | 0.6245 | 0.7712 | [X:[], M:[1.0, 1.1429, 0.7143], q:[0.1429, 0.8571], qb:[0.7143, 0.5714], phi:[0.4286]] | [X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2643/5488, c: 3427/5488, M1: 1, M2: 8/7, M3: 5/7, q1: 1/7, q2: 6/7, qb1: 5/7, qb2: 4/7, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ \phi_1^2q_1^4$, $ \phi_1q_1q_2$, $ M_3q_1\tilde{q}_2$, $ \phi_1q_1^3\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^3q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_3$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3\phi_1q_1\tilde{q}_2$, $ \phi_1^2q_1^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2\tilde{q}_2^2$ | $\phi_1^3q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | -2 | 3*t^2.14 + t^2.57 + t^3. + 2*t^3.43 + 7*t^4.29 + 4*t^4.71 + 3*t^5.14 + 5*t^5.57 - 2*t^6. + 12*t^6.43 + 7*t^6.86 + 3*t^7.29 + 9*t^7.71 - 8*t^8.14 + 16*t^8.57 - t^4.29/y - t^6.43/y + (3*t^7.29)/y + (3*t^7.71)/y + (4*t^8.14)/y + (6*t^8.57)/y - t^4.29*y - t^6.43*y + 3*t^7.29*y + 3*t^7.71*y + 4*t^8.14*y + 6*t^8.57*y | 3*t^2.14 + t^2.57 + t^3. + 2*t^3.43 + 7*t^4.29 + 4*t^4.71 + 3*t^5.14 + 5*t^5.57 - 2*t^6. + 12*t^6.43 + 7*t^6.86 + 3*t^7.29 + 9*t^7.71 - 8*t^8.14 + 16*t^8.57 - t^4.29/y - t^6.43/y + (3*t^7.29)/y + (3*t^7.71)/y + (4*t^8.14)/y + (6*t^8.57)/y - t^4.29*y - t^6.43*y + 3*t^7.29*y + 3*t^7.71*y + 4*t^8.14*y + 6*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 |
|---|---|---|---|---|---|---|---|---|
| 47102 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3\phi_1q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2M_4$ | 0.4942 | 0.646 | 0.765 | [X:[], M:[1.0, 1.1429, 0.7143, 0.8571], q:[0.1429, 0.8571], qb:[0.7143, 0.5714], phi:[0.4286]] | 3*t^2.14 + 2*t^2.57 + t^3. + t^3.43 + 7*t^4.29 + 7*t^4.71 + 5*t^5.14 + 3*t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 339/686, c: 3545/5488, M1: 1, M2: 8/7, M3: 5/7, M4: 6/7, q1: 1/7, q2: 6/7, qb1: 5/7, qb2: 4/7, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46170 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3\phi_1q_1\tilde{q}_1$ | 0.5056 | 0.6428 | 0.7866 | [X:[], M:[0.7886, 1.2033, 0.8049], q:[0.2033, 1.0081], qb:[0.5935, 0.6016], phi:[0.3984]] | t^2.37 + t^2.39 + 3*t^2.41 + 2*t^3.61 + t^4.73 + t^4.76 + 3*t^4.78 + 4*t^4.8 + 7*t^4.83 - 3*t^6. - t^4.2/y - t^4.2*y | detail |