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 |
|---|---|---|---|---|---|---|---|---|---|
| 2759 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_2M_4$ | 0.6196 | 0.7892 | 0.785 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 27201/43904, c: 34649/43904, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $M_4q_1\tilde{q}_1$ | 1 | 2*t^2.14 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + 3*t^4.71 + 3*t^5.14 + 3*t^5.36 + 4*t^5.57 + 3*t^5.79 + t^6. + 2*t^6.21 + 8*t^6.43 + 3*t^6.64 + 7*t^6.86 + t^7.07 + 7*t^7.29 + 5*t^7.5 + 7*t^7.71 + 4*t^7.93 + 2*t^8.14 + 3*t^8.36 + 9*t^8.57 + 4*t^8.79 - t^4.5/y - t^6.64/y + (2*t^7.29)/y + t^7.71/y + (2*t^8.14)/y + (5*t^8.36)/y + (5*t^8.57)/y + (3*t^8.79)/y - t^4.5*y - t^6.64*y + 2*t^7.29*y + t^7.71*y + 2*t^8.14*y + 5*t^8.36*y + 5*t^8.57*y + 3*t^8.79*y | 2*t^2.14 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + 3*t^4.71 + 3*t^5.14 + 3*t^5.36 + 4*t^5.57 + 3*t^5.79 + t^6. + 2*t^6.21 + 8*t^6.43 + 3*t^6.64 + 7*t^6.86 + t^7.07 + 7*t^7.29 + 5*t^7.5 + 7*t^7.71 + 4*t^7.93 + 2*t^8.14 + 3*t^8.36 + 9*t^8.57 + 4*t^8.79 - t^4.5/y - t^6.64/y + (2*t^7.29)/y + t^7.71/y + (2*t^8.14)/y + (5*t^8.36)/y + (5*t^8.57)/y + (3*t^8.79)/y - t^4.5*y - t^6.64*y + 2*t^7.29*y + t^7.71*y + 2*t^8.14*y + 5*t^8.36*y + 5*t^8.57*y + 3*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 3277 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_2M_4$ + $ M_1M_5$ | 0.6262 | 0.8003 | 0.7824 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 0.9286], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 2*t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + 3*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 5*t^5.57 + 3*t^5.79 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 54981/87808, c: 70269/87808, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 13/14, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 3279 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_2M_4$ + $ M_4M_5$ | 0.607 | 0.7677 | 0.7907 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 1.1429], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 2*t^2.14 + t^3. + 2*t^3.21 + 3*t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + t^4.71 + 2*t^5.14 + 3*t^5.36 + 5*t^5.57 + t^5.79 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 3807/6272, c: 4815/6272, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 8/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 3280 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6369 | 0.8199 | 0.7768 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 0.7857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 2*t^2.14 + t^2.36 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.86 + t^4.07 + 4*t^4.29 + 2*t^4.5 + 4*t^4.71 + t^4.93 + 3*t^5.14 + 4*t^5.36 + 6*t^5.57 + 3*t^5.79 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 7989/12544, c: 10285/12544, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 11/14, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 3278 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_2M_4$ + $ M_5q_1q_2$ | 0.6398 | 0.8273 | 0.7734 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 0.7143], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.14 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + 4*t^4.71 + 4*t^5.14 + 5*t^5.36 + 6*t^5.57 + 4*t^5.79 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 28089/43904, c: 36321/43904, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 5/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1756 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ | 0.6373 | 0.8105 | 0.7863 | [X:[], M:[1.1576, 1.1141, 0.7717, 0.6848], q:[0.75, 0.4783], qb:[0.3641, 0.4076], phi:[0.5]] | t^2.05 + 2*t^2.32 + t^3. + 2*t^3.34 + 2*t^3.47 + t^3.68 + t^3.82 + t^4.03 + t^4.11 + t^4.16 + 3*t^4.37 + 3*t^4.63 + t^5.05 + 2*t^5.32 + 2*t^5.4 + 2*t^5.53 + 3*t^5.66 + t^5.74 + 3*t^5.79 - t^6. - t^4.5/y - t^4.5*y | detail |