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 |
|---|---|---|---|---|---|---|---|---|---|
| 633 | 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_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6633 | 0.8593 | 0.772 | [X:[], M:[1.1588, 1.1588, 0.6825, 0.6825, 0.6825], q:[0.75, 0.4325], qb:[0.4088, 0.4088], phi:[0.5]] | [X:[], M:[[1], [1], [-2], [-2], [-2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_3$, $ M_1M_4$, $ M_2M_4$, $ M_1M_5$, $ M_2M_5$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -4 | 3*t^2.05 + t^2.45 + t^3. + 4*t^3.48 + t^3.55 + 2*t^4.02 + 7*t^4.09 + 3*t^4.5 + t^4.91 + 3*t^5.05 + t^5.45 + 12*t^5.52 + 3*t^5.59 + 2*t^5.93 - 4*t^6. + 4*t^6.07 + 13*t^6.14 + 2*t^6.48 + 6*t^6.55 + 9*t^6.95 + 2*t^7.02 + 7*t^7.09 + t^7.36 - 4*t^7.43 + 3*t^7.5 + 26*t^7.57 + 7*t^7.64 + 2*t^7.98 - 13*t^8.05 + 8*t^8.12 + 22*t^8.19 + 2*t^8.38 - 4*t^8.45 + 4*t^8.52 + 10*t^8.59 - t^4.5/y - (3*t^6.55)/y + (2*t^7.02)/y + (3*t^7.09)/y + (3*t^7.5)/y - (2*t^7.98)/y + (3*t^8.05)/y + (4*t^8.45)/y + (12*t^8.52)/y - (3*t^8.59)/y + (4*t^8.93)/y - t^4.5*y - 3*t^6.55*y + 2*t^7.02*y + 3*t^7.09*y + 3*t^7.5*y - 2*t^7.98*y + 3*t^8.05*y + 4*t^8.45*y + 12*t^8.52*y - 3*t^8.59*y + 4*t^8.93*y | (3*t^2.05)/g1^2 + g1^2*t^2.45 + t^3. + 4*g1*t^3.48 + t^3.55/g1^2 + (2*t^4.02)/g1 + (7*t^4.09)/g1^4 + 3*t^4.5 + g1^4*t^4.91 + (3*t^5.05)/g1^2 + g1^2*t^5.45 + (12*t^5.52)/g1 + (3*t^5.59)/g1^4 + 2*g1^3*t^5.93 - 4*t^6. + (4*t^6.07)/g1^3 + (13*t^6.14)/g1^6 + 2*g1*t^6.48 + (6*t^6.55)/g1^2 + 9*g1^2*t^6.95 + (2*t^7.02)/g1 + (7*t^7.09)/g1^4 + g1^6*t^7.36 - 4*g1^3*t^7.43 + 3*t^7.5 + (26*t^7.57)/g1^3 + (7*t^7.64)/g1^6 + 2*g1*t^7.98 - (13*t^8.05)/g1^2 + (8*t^8.12)/g1^5 + (22*t^8.19)/g1^8 + 2*g1^5*t^8.38 - 4*g1^2*t^8.45 + (4*t^8.52)/g1 + (10*t^8.59)/g1^4 - t^4.5/y - (3*t^6.55)/(g1^2*y) + (2*t^7.02)/(g1*y) + (3*t^7.09)/(g1^4*y) + (3*t^7.5)/y - (2*g1*t^7.98)/y + (3*t^8.05)/(g1^2*y) + (4*g1^2*t^8.45)/y + (12*t^8.52)/(g1*y) - (3*t^8.59)/(g1^4*y) + (4*g1^3*t^8.93)/y - t^4.5*y - (3*t^6.55*y)/g1^2 + (2*t^7.02*y)/g1 + (3*t^7.09*y)/g1^4 + 3*t^7.5*y - 2*g1*t^7.98*y + (3*t^8.05*y)/g1^2 + 4*g1^2*t^8.45*y + (12*t^8.52*y)/g1 - (3*t^8.59*y)/g1^4 + 4*g1^3*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 1955 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ | 0.6537 | 0.8412 | 0.7771 | [X:[], M:[1.125, 1.125, 0.75, 0.75, 0.75], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | 4*t^2.25 + t^3. + 4*t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 4*t^5.25 + 14*t^5.62 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 5355/8192, c: 6891/8192, M1: 9/8, M2: 9/8, M3: 3/4, M4: 3/4, M5: 3/4, q1: 3/4, q2: 1/2, qb1: 3/8, qb2: 3/8, phi1: 1/2} |
| 1956 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1q_2$ | 0.6792 | 0.8856 | 0.7669 | [X:[], M:[1.1517, 1.1517, 0.6966, 0.6966, 0.6966, 0.8034], q:[0.75, 0.4466], qb:[0.4017, 0.4017], phi:[0.5]] | 3*t^2.09 + 2*t^2.41 + t^3. + 4*t^3.46 + 2*t^4.04 + 7*t^4.18 + 6*t^4.5 + 3*t^4.82 + 3*t^5.09 + 2*t^5.41 + 12*t^5.54 + 6*t^5.87 - 5*t^6. - t^4.5/y - t^4.5*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 392 | 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_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6426 | 0.8185 | 0.785 | [X:[], M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | 2*t^2.05 + t^2.45 + t^3. + 4*t^3.47 + t^3.55 + t^3.95 + 2*t^4.03 + 4*t^4.11 + 2*t^4.5 + t^4.89 + 2*t^5.05 + t^5.45 + 8*t^5.53 + 2*t^5.61 + 2*t^5.92 - 2*t^6. - t^4.5/y - t^4.5*y | detail |