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 |
|---|---|---|---|---|---|---|---|---|---|
| 8950 | 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_3\phi_1q_1q_2$ + $ M_4\phi_1^3q_2^2$ + $ M_2M_5$ | 1.1388 | 1.3039 | 0.8733 | [X:[1.5714], M:[1.0, 1.1429, 1.0714, 0.7143, 0.8571], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 99993/87808, c: 114497/87808, X1: 11/7, M1: 1, M2: 8/7, M3: 15/14, M4: 5/7, M5: 6/7, q1: 11/28, q2: 9/28, phi1: 3/14} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_1q_2$, $ M_5$, $ \phi_1^4$, $ M_1$, $ M_3$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1q_2$, $ M_4^2$, $ \phi_1^3q_1^2$, $ M_4q_1q_2$, $ q_1^2q_2^2$, $ M_4M_5$, $ M_4\phi_1^4$, $ M_5q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1M_4$, $ M_5^2$, $ M_5\phi_1^4$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_3M_4$, $ M_3q_1q_2$, $ M_1M_5$, $ M_1\phi_1^4$, $ M_4\phi_1^2q_1q_2$, $ \phi_1^2q_1^2q_2^2$, $ M_3M_5$, $ M_3\phi_1^4$ | $M_5\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$ | 1 | 2*t^2.14 + 2*t^2.57 + t^3. + t^3.21 + t^3.43 + t^4.07 + 4*t^4.29 + 5*t^4.71 + 5*t^5.14 + 2*t^5.36 + 4*t^5.57 + t^5.79 + t^6. + 2*t^6.21 + 7*t^6.43 + 2*t^6.64 + 9*t^6.86 + 11*t^7.29 + 3*t^7.5 + 11*t^7.71 + 2*t^7.93 + 4*t^8.14 + 5*t^8.36 + 12*t^8.57 - t^8.79 + t^8.57/y^2 - (2*t^8.79)/y^2 - t^3.64/y - t^4.93/y - (2*t^5.79)/y - (2*t^6.21)/y - t^6.64/y - t^6.86/y - (2*t^7.07)/y + t^7.29/y - t^7.5/y + (4*t^7.71)/y - (4*t^7.93)/y + (2*t^8.14)/y - (2*t^8.36)/y + (4*t^8.57)/y - (2*t^8.79)/y - t^3.64*y - t^4.93*y - 2*t^5.79*y - 2*t^6.21*y - t^6.64*y - t^6.86*y - 2*t^7.07*y + t^7.29*y - t^7.5*y + 4*t^7.71*y - 4*t^7.93*y + 2*t^8.14*y - 2*t^8.36*y + 4*t^8.57*y - 2*t^8.79*y + t^8.57*y^2 - 2*t^8.79*y^2 | 2*t^2.14 + 2*t^2.57 + t^3. + t^3.21 + t^3.43 + t^4.07 + 4*t^4.29 + 5*t^4.71 + 5*t^5.14 + 2*t^5.36 + 4*t^5.57 + t^5.79 + t^6. + 2*t^6.21 + 7*t^6.43 + 2*t^6.64 + 9*t^6.86 + 11*t^7.29 + 3*t^7.5 + 11*t^7.71 + 2*t^7.93 + 4*t^8.14 + 5*t^8.36 + 12*t^8.57 - t^8.79 + t^8.57/y^2 - (2*t^8.79)/y^2 - t^3.64/y - t^4.93/y - (2*t^5.79)/y - (2*t^6.21)/y - t^6.64/y - t^6.86/y - (2*t^7.07)/y + t^7.29/y - t^7.5/y + (4*t^7.71)/y - (4*t^7.93)/y + (2*t^8.14)/y - (2*t^8.36)/y + (4*t^8.57)/y - (2*t^8.79)/y - t^3.64*y - t^4.93*y - 2*t^5.79*y - 2*t^6.21*y - t^6.64*y - t^6.86*y - 2*t^7.07*y + t^7.29*y - t^7.5*y + 4*t^7.71*y - 4*t^7.93*y + 2*t^8.14*y - 2*t^8.36*y + 4*t^8.57*y - 2*t^8.79*y + t^8.57*y^2 - 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 |
|---|---|---|---|---|---|---|---|---|
| 9078 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_4\phi_1^3q_2^2$ + $ M_2M_5$ + $ M_6\phi_1^2q_1q_2$ | 1.1513 | 1.3254 | 0.8686 | [X:[1.5714], M:[1.0, 1.1429, 1.0714, 0.7143, 0.8571, 0.8571], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | 2*t^2.14 + 3*t^2.57 + t^3. + t^3.21 + t^4.07 + 4*t^4.29 + 7*t^4.71 + 8*t^5.14 + 2*t^5.36 + 3*t^5.57 + 2*t^5.79 - 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: 101097/87808, c: 116385/87808, X1: 11/7, M1: 1, M2: 8/7, M3: 15/14, M4: 5/7, M5: 6/7, M6: 6/7, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8892 | 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_3\phi_1q_1q_2$ + $ M_4\phi_1^3q_2^2$ | 1.1262 | 1.2824 | 0.8782 | [X:[1.5714], M:[1.0, 1.1429, 1.0714, 0.7143], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | 2*t^2.14 + t^2.57 + t^3. + t^3.21 + 2*t^3.43 + t^4.07 + 4*t^4.29 + 3*t^4.71 + 3*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: 14127/12544, c: 16087/12544, X1: 11/7, M1: 1, M2: 8/7, M3: 15/14, M4: 5/7, q1: 11/28, q2: 9/28, phi1: 3/14} |