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 |
|---|---|---|---|---|---|---|---|---|---|
| 8792 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ + $ M_2M_3$ | 1.1251 | 1.2769 | 0.8811 | [X:[1.5714], M:[1.0, 1.1429, 0.8571], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 24699/21952, c: 28031/21952, X1: 11/7, M1: 1, M2: 8/7, M3: 6/7, q1: 11/28, q2: 9/28, phi1: 3/14} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ M_3$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ q_1^2q_2^2$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ \phi_1q_1^2q_2^2$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_3\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ M_1M_3$, $ M_1\phi_1^4$, $ \phi_1^2q_1^2q_2^2$ | $M_3\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$, $ \phi_1^3q_1q_2^3$ | 2 | t^2.14 + 2*t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.86 + t^4.07 + 2*t^4.29 + 3*t^4.71 + t^4.93 + 4*t^5.14 + 2*t^5.36 + 4*t^5.57 + 2*t^6. + t^6.21 + 4*t^6.43 + 2*t^6.64 + 6*t^6.86 + 2*t^7.07 + 6*t^7.29 + 2*t^7.5 + 9*t^7.71 + 3*t^7.93 + 7*t^8.14 + 3*t^8.36 + 7*t^8.57 - 2*t^8.79 + t^8.57/y^2 - t^8.79/y^2 - t^3.64/y - t^4.93/y - t^5.79/y - (2*t^6.21)/y - t^6.43/y - t^6.64/y - t^7.07/y - (2*t^7.5)/y + t^7.71/y - t^7.93/y + (2*t^8.14)/y + (2*t^8.57)/y - (3*t^8.79)/y - t^3.64*y - t^4.93*y - t^5.79*y - 2*t^6.21*y - t^6.43*y - t^6.64*y - t^7.07*y - 2*t^7.5*y + t^7.71*y - t^7.93*y + 2*t^8.14*y + 2*t^8.57*y - 3*t^8.79*y + t^8.57*y^2 - t^8.79*y^2 | t^2.14 + 2*t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.86 + t^4.07 + 2*t^4.29 + 3*t^4.71 + t^4.93 + 4*t^5.14 + 2*t^5.36 + 4*t^5.57 + 2*t^6. + t^6.21 + 4*t^6.43 + 2*t^6.64 + 6*t^6.86 + 2*t^7.07 + 6*t^7.29 + 2*t^7.5 + 9*t^7.71 + 3*t^7.93 + 7*t^8.14 + 3*t^8.36 + 7*t^8.57 - 2*t^8.79 + t^8.57/y^2 - t^8.79/y^2 - t^3.64/y - t^4.93/y - t^5.79/y - (2*t^6.21)/y - t^6.43/y - t^6.64/y - t^7.07/y - (2*t^7.5)/y + t^7.71/y - t^7.93/y + (2*t^8.14)/y + (2*t^8.57)/y - (3*t^8.79)/y - t^3.64*y - t^4.93*y - t^5.79*y - 2*t^6.21*y - t^6.43*y - t^6.64*y - t^7.07*y - 2*t^7.5*y + t^7.71*y - t^7.93*y + 2*t^8.14*y + 2*t^8.57*y - 3*t^8.79*y + t^8.57*y^2 - t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 8894 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ + $ M_2M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1377 | 1.2984 | 0.8762 | [X:[1.5714], M:[1.0, 1.1429, 0.8571, 0.8571], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | t^2.14 + 3*t^2.57 + t^2.79 + t^3. + t^3.86 + t^4.07 + 2*t^4.29 + 4*t^4.71 + t^4.93 + 7*t^5.14 + 3*t^5.36 + 4*t^5.57 - t^3.64/y - t^4.93/y - t^5.79/y - t^3.64*y - t^4.93*y - t^5.79*y | detail | {a: 24975/21952, c: 28503/21952, X1: 11/7, M1: 1, M2: 8/7, M3: 6/7, M4: 6/7, q1: 11/28, q2: 9/28, phi1: 3/14} |
| 8895 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ + $ M_2M_3$ + $ M_4\phi_1^3q_2^2$ | 1.1454 | 1.315 | 0.871 | [X:[1.5714], M:[1.0, 1.1429, 0.8571, 0.7143], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | 2*t^2.14 + 2*t^2.57 + t^2.79 + t^3. + t^3.43 + t^4.07 + 4*t^4.29 + 5*t^4.71 + 2*t^4.93 + 5*t^5.14 + 2*t^5.36 + 5*t^5.57 + t^6. - t^3.64/y - t^4.93/y - (2*t^5.79)/y - t^3.64*y - t^4.93*y - 2*t^5.79*y | detail | {a: 25143/21952, c: 28867/21952, X1: 11/7, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, q1: 11/28, q2: 9/28, phi1: 3/14} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8633 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ | 1.1126 | 1.2554 | 0.8862 | [X:[1.5714], M:[1.0, 1.1429], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | t^2.14 + t^2.57 + t^2.79 + t^3. + 2*t^3.43 + t^3.86 + t^4.07 + 2*t^4.29 + 2*t^4.71 + t^4.93 + 2*t^5.14 + t^5.36 + 4*t^5.57 + 2*t^6. - t^3.64/y - t^4.93/y - t^5.79/y - t^3.64*y - t^4.93*y - t^5.79*y | detail | {a: 3489/3136, c: 3937/3136, X1: 11/7, M1: 1, M2: 8/7, q1: 11/28, q2: 9/28, phi1: 3/14} |