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 |
|---|---|---|---|---|---|---|---|---|---|
| 399 | 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\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ 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:[[0, 1], [1, 0], [-1, -1], [-2, 0], [0, -2]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_3M_4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2M_5$, $ M_5q_1\tilde{q}_1$, $ M_2M_3$, $ M_1M_5$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_5q_1q_2$, $ M_3q_1q_2$, $ M_4q_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 | t^2.05/g1^2 + t^2.05/g2^2 + t^2.05/(g1*g2) + g1*g2*t^2.45 + t^3. + 2*g1*t^3.48 + 2*g2*t^3.48 + t^3.55/(g1*g2) + t^4.02/g1 + t^4.02/g2 + t^4.09/g1^4 + t^4.09/g2^4 + t^4.09/(g1*g2^3) + (3*t^4.09)/(g1^2*g2^2) + t^4.09/(g1^3*g2) + t^4.5 + (g1*t^4.5)/g2 + (g2*t^4.5)/g1 + g1^2*g2^2*t^4.91 + t^5.05/g1^2 + t^5.05/g2^2 + t^5.05/(g1*g2) + g1*g2*t^5.45 + (4*t^5.52)/g1 + (2*g1*t^5.52)/g2^2 + (4*t^5.52)/g2 + (2*g2*t^5.52)/g1^2 + t^5.59/(g1*g2^3) + t^5.59/(g1^2*g2^2) + t^5.59/(g1^3*g2) + g1^2*g2*t^5.93 + g1*g2^2*t^5.93 - 2*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 + t^6.07/g1^3 + t^6.07/g2^3 + t^6.07/(g1*g2^2) + t^6.07/(g1^2*g2) + t^6.14/g1^6 + t^6.14/g2^6 + t^6.14/(g1*g2^5) + (3*t^6.14)/(g1^2*g2^4) + (3*t^6.14)/(g1^3*g2^3) + (3*t^6.14)/(g1^4*g2^2) + t^6.14/(g1^5*g2) + g1*t^6.48 + g2*t^6.48 + t^6.55/g1^2 + (g1*t^6.55)/g2^3 + t^6.55/g2^2 + (2*t^6.55)/(g1*g2) + (g2*t^6.55)/g1^3 + 3*g1^2*t^6.95 + 3*g1*g2*t^6.95 + 3*g2^2*t^6.95 + t^7.02/g1 + t^7.02/g2 + t^7.09/g1^4 + t^7.09/g2^4 + t^7.09/(g1*g2^3) + (3*t^7.09)/(g1^2*g2^2) + t^7.09/(g1^3*g2) + g1^3*g2^3*t^7.36 - 2*g1^2*g2*t^7.43 - 2*g1*g2^2*t^7.43 + t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + (4*t^7.57)/g1^3 + (2*g1*t^7.57)/g2^4 + (4*t^7.57)/g2^3 + (7*t^7.57)/(g1*g2^2) + (7*t^7.57)/(g1^2*g2) + (2*g2*t^7.57)/g1^4 + t^7.64/(g1*g2^5) + t^7.64/(g1^2*g2^4) + (3*t^7.64)/(g1^3*g2^3) + t^7.64/(g1^4*g2^2) + t^7.64/(g1^5*g2) + (g1^2*t^7.98)/g2 + (g2^2*t^7.98)/g1 - (3*t^8.05)/g1^2 - (g1*t^8.05)/g2^3 - (3*t^8.05)/g2^2 - (5*t^8.05)/(g1*g2) - (g2*t^8.05)/g1^3 + t^8.12/g1^5 + t^8.12/g2^5 + t^8.12/(g1*g2^4) + (2*t^8.12)/(g1^2*g2^3) + (2*t^8.12)/(g1^3*g2^2) + t^8.12/(g1^4*g2) + t^8.19/g1^8 + t^8.19/g2^8 + t^8.19/(g1*g2^7) + (3*t^8.19)/(g1^2*g2^6) + (3*t^8.19)/(g1^3*g2^5) + (6*t^8.19)/(g1^4*g2^4) + (3*t^8.19)/(g1^5*g2^3) + (3*t^8.19)/(g1^6*g2^2) + t^8.19/(g1^7*g2) + g1^3*g2^2*t^8.38 + g1^2*g2^3*t^8.38 - g1^2*t^8.45 - 2*g1*g2*t^8.45 - g2^2*t^8.45 + t^8.52/g1 + (g1*t^8.52)/g2^2 + t^8.52/g2 + (g2*t^8.52)/g1^2 + t^8.59/g1^4 + (g1*t^8.59)/g2^5 + t^8.59/g2^4 + (2*t^8.59)/(g1*g2^3) + (2*t^8.59)/(g1^2*g2^2) + (2*t^8.59)/(g1^3*g2) + (g2*t^8.59)/g1^5 - t^4.5/y - t^6.55/(g1^2*y) - t^6.55/(g2^2*y) - t^6.55/(g1*g2*y) + t^7.02/(g1*y) + t^7.02/(g2*y) + t^7.09/(g1*g2^3*y) + t^7.09/(g1^2*g2^2*y) + t^7.09/(g1^3*g2*y) + t^7.5/y + (g1*t^7.5)/(g2*y) + (g2*t^7.5)/(g1*y) - (g1*t^7.98)/y - (g2*t^7.98)/y + t^8.05/(g1^2*y) + t^8.05/(g2^2*y) + t^8.05/(g1*g2*y) + (g1^2*t^8.45)/y + (2*g1*g2*t^8.45)/y + (g2^2*t^8.45)/y + (4*t^8.52)/(g1*y) + (2*g1*t^8.52)/(g2^2*y) + (4*t^8.52)/(g2*y) + (2*g2*t^8.52)/(g1^2*y) - t^8.59/(g1^4*y) - t^8.59/(g2^4*y) - t^8.59/(g1^2*g2^2*y) + (2*g1^2*g2*t^8.93)/y + (2*g1*g2^2*t^8.93)/y - t^4.5*y - (t^6.55*y)/g1^2 - (t^6.55*y)/g2^2 - (t^6.55*y)/(g1*g2) + (t^7.02*y)/g1 + (t^7.02*y)/g2 + (t^7.09*y)/(g1*g2^3) + (t^7.09*y)/(g1^2*g2^2) + (t^7.09*y)/(g1^3*g2) + t^7.5*y + (g1*t^7.5*y)/g2 + (g2*t^7.5*y)/g1 - g1*t^7.98*y - g2*t^7.98*y + (t^8.05*y)/g1^2 + (t^8.05*y)/g2^2 + (t^8.05*y)/(g1*g2) + g1^2*t^8.45*y + 2*g1*g2*t^8.45*y + g2^2*t^8.45*y + (4*t^8.52*y)/g1 + (2*g1*t^8.52*y)/g2^2 + (4*t^8.52*y)/g2 + (2*g2*t^8.52*y)/g1^2 - (t^8.59*y)/g1^4 - (t^8.59*y)/g2^4 - (t^8.59*y)/(g1^2*g2^2) + 2*g1^2*g2*t^8.93*y + 2*g1*g2^2*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 |
|---|---|---|---|---|---|---|---|---|
| 1841 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ 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} |
| 1842 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ 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 |
|---|---|---|---|---|---|---|---|---|---|
| 249 | 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\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6426 | 0.819 | 0.7847 | [X:[], M:[1.1534, 1.1608, 0.6858, 0.6783], q:[0.75, 0.4358], qb:[0.4108, 0.4034], phi:[0.5]] | t^2.04 + t^2.06 + t^2.44 + t^3. + 2*t^3.46 + 2*t^3.48 + t^3.56 + t^3.92 + t^4.02 + t^4.04 + t^4.07 + t^4.09 + 2*t^4.11 + t^4.48 + t^4.5 + t^4.89 + t^5.04 + t^5.06 + t^5.44 + 2*t^5.5 + 4*t^5.52 + 2*t^5.54 + t^5.59 + t^5.61 + t^5.9 + t^5.93 + t^5.96 - 2*t^6. - t^4.5/y - t^4.5*y | detail |