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 |
|---|---|---|---|---|---|---|---|---|---|
| 8708 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_3q_1q_2$ | 1.138 | 1.257 | 0.9053 | [X:[1.619], M:[0.9524, 1.0476, 1.1429], q:[0.4762, 0.381], qb:[], phi:[0.1905]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 1171/1029, c: 2587/2058, X1: 34/21, M1: 20/21, M2: 22/21, M3: 8/7, q1: 10/21, q2: 8/21, phi1: 4/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ M_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ X_1$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ M_1^2$, $ M_3\phi_1^4$, $ \phi_1^5q_1^2$ | $\phi_1^6q_1q_2$ | 0 | t^2.29 + t^2.86 + t^3.14 + 2*t^3.43 + t^3.71 + t^4. + t^4.29 + 2*t^4.57 + t^4.86 + t^5.14 + t^5.43 + 2*t^5.71 + 2*t^6.29 + 3*t^6.57 + 5*t^6.86 + 4*t^7.14 + 3*t^7.43 + 4*t^7.71 + 5*t^8. + 4*t^8.29 + 3*t^8.57 + t^8.86 + t^8.29/y^2 - t^8.86/y^2 - t^3.57/y - t^4.71/y - t^5.86/y - t^6.43/y - t^6.71/y - (3*t^7.)/y - t^7.57/y - t^7.86/y - (2*t^8.14)/y + t^8.43/y + t^8.71/y - t^3.57*y - t^4.71*y - t^5.86*y - t^6.43*y - t^6.71*y - 3*t^7.*y - t^7.57*y - t^7.86*y - 2*t^8.14*y + t^8.43*y + t^8.71*y + t^8.29*y^2 - t^8.86*y^2 | t^2.29 + t^2.86 + t^3.14 + 2*t^3.43 + t^3.71 + t^4. + t^4.29 + 2*t^4.57 + t^4.86 + t^5.14 + t^5.43 + 2*t^5.71 + 2*t^6.29 + 3*t^6.57 + 5*t^6.86 + 4*t^7.14 + 3*t^7.43 + 4*t^7.71 + 5*t^8. + 4*t^8.29 + 3*t^8.57 + t^8.86 + t^8.29/y^2 - t^8.86/y^2 - t^3.57/y - t^4.71/y - t^5.86/y - t^6.43/y - t^6.71/y - (3*t^7.)/y - t^7.57/y - t^7.86/y - (2*t^8.14)/y + t^8.43/y + t^8.71/y - t^3.57*y - t^4.71*y - t^5.86*y - t^6.43*y - t^6.71*y - 3*t^7.*y - t^7.57*y - t^7.86*y - 2*t^8.14*y + t^8.43*y + t^8.71*y + t^8.29*y^2 - t^8.86*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8848 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_3q_1q_2$ + $ M_1M_4$ | 1.1336 | 1.2496 | 0.9071 | [X:[1.619], M:[0.9524, 1.0476, 1.1429, 1.0476], q:[0.4762, 0.381], qb:[], phi:[0.1905]] | t^2.29 + 2*t^3.14 + 2*t^3.43 + t^3.71 + t^4. + t^4.29 + 2*t^4.57 + t^4.86 + 2*t^5.43 + t^5.71 - t^6. - t^3.57/y - t^4.71/y - t^5.86/y - t^3.57*y - t^4.71*y - t^5.86*y | detail | {a: 6221/5488, c: 3429/2744, X1: 34/21, M1: 20/21, M2: 22/21, M3: 8/7, M4: 22/21, q1: 10/21, q2: 8/21, phi1: 4/21} |
| 8849 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_3q_1q_2$ + $ M_2M_4$ | 1.1424 | 1.2645 | 0.9035 | [X:[1.619], M:[0.9524, 1.0476, 1.1429, 0.9524], q:[0.4762, 0.381], qb:[], phi:[0.1905]] | t^2.29 + 2*t^2.86 + 2*t^3.43 + t^3.71 + t^4. + t^4.29 + 2*t^4.57 + t^4.86 + 2*t^5.14 + 4*t^5.71 - t^6. - t^3.57/y - t^4.71/y - t^5.86/y - t^3.57*y - t^4.71*y - t^5.86*y | detail | {a: 2687/2352, c: 1487/1176, X1: 34/21, M1: 20/21, M2: 22/21, M3: 8/7, M4: 20/21, q1: 10/21, q2: 8/21, phi1: 4/21} |
| 8851 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_3q_1q_2$ + $ M_4\phi_1^2q_1q_2$ | 1.1565 | 1.2905 | 0.8962 | [X:[1.619], M:[0.9524, 1.0476, 1.1429, 0.7619], q:[0.4762, 0.381], qb:[], phi:[0.1905]] | 2*t^2.29 + t^2.86 + t^3.14 + 2*t^3.43 + t^4. + t^4.29 + 4*t^4.57 + t^4.86 + 2*t^5.14 + 2*t^5.43 + 4*t^5.71 - t^6. - t^3.57/y - t^4.71/y - (2*t^5.86)/y - t^3.57*y - t^4.71*y - 2*t^5.86*y | detail | {a: 6347/5488, c: 3541/2744, X1: 34/21, M1: 20/21, M2: 22/21, M3: 8/7, M4: 16/21, q1: 10/21, q2: 8/21, phi1: 4/21} |
| 8846 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_3q_1q_2$ + $ M_4\phi_1^4$ | 1.1195 | 1.2236 | 0.9149 | [X:[1.619], M:[0.9524, 1.0476, 1.1429, 1.2381], q:[0.4762, 0.381], qb:[], phi:[0.1905]] | t^2.86 + t^3.14 + 2*t^3.43 + 2*t^3.71 + t^4. + t^4.29 + t^4.57 + t^4.86 - t^6. - t^3.57/y - t^4.71/y - t^3.57*y - t^4.71*y | detail | {a: 2633/2352, c: 1439/1176, X1: 34/21, M1: 20/21, M2: 22/21, M3: 8/7, M4: 26/21, q1: 10/21, q2: 8/21, phi1: 4/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8510 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ | 1.1506 | 1.2785 | 0.8999 | [X:[1.619], M:[0.9524, 1.0476], q:[0.4762, 0.381], qb:[], phi:[0.1905]] | t^2.29 + t^2.57 + t^2.86 + t^3.14 + t^3.43 + t^3.71 + t^4. + t^4.29 + 2*t^4.57 + 2*t^4.86 + 2*t^5.14 + 2*t^5.43 + 2*t^5.71 + t^6. - t^3.57/y - t^4.71/y - t^5.86/y - t^3.57*y - t^4.71*y - t^5.86*y | detail | {a: 18943/16464, c: 10525/8232, X1: 34/21, M1: 20/21, M2: 22/21, q1: 10/21, q2: 8/21, phi1: 4/21} |