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 |
|---|---|---|---|---|---|---|---|---|---|
| 46889 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ | 0.5751 | 0.7179 | 0.801 | [X:[], M:[0.8571, 1.2857, 0.7143, 1.0], q:[0.7143, 0.4286], qb:[0.2857, 0.8571], phi:[0.4286]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 789/1372, c: 985/1372, M1: 6/7, M2: 9/7, M3: 5/7, M4: 1, q1: 5/7, q2: 3/7, qb1: 2/7, qb2: 6/7, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1q_2^2$, $ M_4q_1\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 4 | t^2.14 + 2*t^2.57 + 2*t^3. + 2*t^3.43 + 2*t^3.86 + t^4.29 + 3*t^4.71 + 5*t^5.14 + 4*t^5.57 + 4*t^6. + 5*t^6.43 + 3*t^6.86 + 5*t^7.29 + 9*t^7.71 + 4*t^8.14 + 4*t^8.57 - t^4.29/y - (2*t^6.86)/y + (4*t^7.71)/y + (3*t^8.14)/y + (6*t^8.57)/y - t^4.29*y - 2*t^6.86*y + 4*t^7.71*y + 3*t^8.14*y + 6*t^8.57*y | t^2.14 + 2*t^2.57 + 2*t^3. + 2*t^3.43 + 2*t^3.86 + t^4.29 + 3*t^4.71 + 5*t^5.14 + 4*t^5.57 + 4*t^6. + 5*t^6.43 + 3*t^6.86 + 5*t^7.29 + 9*t^7.71 + 4*t^8.14 + 4*t^8.57 - t^4.29/y - (2*t^6.86)/y + (4*t^7.71)/y + (3*t^8.14)/y + (6*t^8.57)/y - t^4.29*y - 2*t^6.86*y + 4*t^7.71*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 55072 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.5876 | 0.7394 | 0.7947 | [X:[], M:[0.8571, 1.2857, 0.7143, 1.0, 0.8571], q:[0.7143, 0.4286], qb:[0.2857, 0.8571], phi:[0.4286]] | t^2.14 + 3*t^2.57 + 2*t^3. + t^3.43 + 2*t^3.86 + t^4.29 + 4*t^4.71 + 8*t^5.14 + 5*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3225/5488, c: 2029/2744, M1: 6/7, M2: 9/7, M3: 5/7, M4: 1, M5: 6/7, q1: 5/7, q2: 3/7, qb1: 2/7, qb2: 6/7, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46393 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6384 | 0.7923 | 0.8057 | [X:[], M:[0.7685, 1.1527, 0.8473, 0.6897], q:[0.8473, 0.3842], qb:[0.463, 0.7685], phi:[0.3842]] | t^2.07 + 2*t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.69 + t^3.93 + t^4.14 + 2*t^4.37 + 4*t^4.61 + 3*t^4.85 + t^5.08 + 2*t^5.53 + 4*t^5.76 + 2*t^6. - t^4.15/y - t^4.15*y | detail |