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 |
|---|---|---|---|---|---|---|---|---|---|
| 55182 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_2^2$ + $ M_1M_5$ | 0.5911 | 0.737 | 0.8021 | [X:[1.3333], M:[1.25, 1.0, 0.75, 0.6667, 0.75], q:[0.3333, 0.4167], qb:[0.6667, 0.9167], phi:[0.4167]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 227/384, c: 283/384, X1: 4/3, M1: 5/4, M2: 1, M3: 3/4, M4: 2/3, M5: 3/4, q1: 1/3, q2: 5/12, qb1: 2/3, qb2: 11/12, phi1: 5/12} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ \phi_1^2$, $ M_2$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_1$, $ X_1$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_5\phi_1q_1^2$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1q_2$, $ \phi_1^2q_2\tilde{q}_1$ | $\phi_1^3q_1q_2$ | 1 | 2*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^3.75 + t^4. + 3*t^4.5 + 3*t^4.75 + t^5. + 2*t^5.25 + 4*t^5.5 + 2*t^5.75 + t^6. + 3*t^6.25 + 3*t^6.5 + 4*t^6.75 + 4*t^7. + 2*t^7.25 + 3*t^7.5 + 6*t^7.75 + 4*t^8. + 3*t^8.5 + 3*t^8.75 - t^4.25/y - t^6.5/y - t^6.75/y + t^7.5/y + (3*t^7.75)/y + t^8./y + (2*t^8.25)/y + (5*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.5*y - t^6.75*y + t^7.5*y + 3*t^7.75*y + t^8.*y + 2*t^8.25*y + 5*t^8.5*y + 3*t^8.75*y | 2*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^3.75 + t^4. + 3*t^4.5 + 3*t^4.75 + t^5. + 2*t^5.25 + 4*t^5.5 + 2*t^5.75 + t^6. + 3*t^6.25 + 3*t^6.5 + 4*t^6.75 + 4*t^7. + 2*t^7.25 + 3*t^7.5 + 6*t^7.75 + 4*t^8. + 3*t^8.5 + 3*t^8.75 - t^4.25/y - t^6.5/y - t^6.75/y + t^7.5/y + (3*t^7.75)/y + t^8./y + (2*t^8.25)/y + (5*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.5*y - t^6.75*y + t^7.5*y + 3*t^7.75*y + t^8.*y + 2*t^8.25*y + 5*t^8.5*y + 3*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 56841 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_2^2$ + $ M_1M_5$ + $ M_6\phi_1q_1q_2$ | 0.6055 | 0.7617 | 0.7949 | [X:[1.3333], M:[1.25, 1.0, 0.75, 0.6667, 0.75, 0.8333], q:[0.3333, 0.4167], qb:[0.6667, 0.9167], phi:[0.4167]] | 2*t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + t^3.75 + t^4. + 3*t^4.5 + 5*t^4.75 + 3*t^5. + 2*t^5.25 + 5*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 155/256, c: 195/256, X1: 4/3, M1: 5/4, M2: 1, M3: 3/4, M4: 2/3, M5: 3/4, M6: 5/6, q1: 1/3, q2: 5/12, qb1: 2/3, qb2: 11/12, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46972 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_2^2$ | 0.5941 | 0.7418 | 0.8009 | [X:[1.3633], M:[1.2275, 1.0, 0.7725, 0.6367, 0.6825], q:[0.3183, 0.4541], qb:[0.6817, 0.9092], phi:[0.4092]] | t^2.05 + t^2.32 + t^2.46 + t^3. + t^3.14 + t^3.41 + t^3.54 + t^3.68 + t^4.09 + t^4.1 + t^4.37 + t^4.5 + t^4.63 + 2*t^4.77 + t^4.91 + t^5.05 + t^5.19 + t^5.32 + 2*t^5.46 + t^5.59 + t^5.72 + t^5.73 + t^5.86 - t^4.23/y - t^4.23*y | detail |