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 |
|---|---|---|---|---|---|---|---|---|---|
| 1917 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6785 | 0.8762 | 0.7744 | [X:[], M:[0.8242, 1.1758, 0.8242, 0.6758, 0.8379], q:[0.75, 0.4258], qb:[0.4121, 0.4121], phi:[0.5]] | [X:[], M:[[2], [-2], [2], [-2], [-1]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_3M_4$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | $M_5q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | 0 | t^2.03 + 2*t^2.47 + 3*t^2.51 + t^3. + t^3.49 + 2*t^3.97 + 2*t^4.01 + 2*t^4.05 + 2*t^4.5 + 3*t^4.54 + 3*t^4.95 + 6*t^4.99 + 7*t^5.03 + 2*t^5.47 + 4*t^5.51 + 2*t^6.08 + 4*t^6.45 + 7*t^6.49 + 8*t^6.53 + 6*t^6.57 + 2*t^6.97 + 4*t^7.01 + 7*t^7.05 + 4*t^7.42 + 7*t^7.46 + 8*t^7.5 + 11*t^7.54 + 5*t^7.95 + 6*t^7.99 + 7*t^8.03 + 2*t^8.07 + 3*t^8.11 - t^8.43 - 6*t^8.47 - 6*t^8.51 + 2*t^8.55 + 6*t^8.6 + 6*t^8.92 + 10*t^8.96 - t^4.5/y - t^6.53/y - t^6.97/y - t^7.01/y + (2*t^7.5)/y + (3*t^7.54)/y + t^7.95/y + (7*t^7.99)/y + (5*t^8.03)/y + (3*t^8.47)/y + (4*t^8.51)/y - t^8.55/y + (2*t^8.96)/y - t^4.5*y - t^6.53*y - t^6.97*y - t^7.01*y + 2*t^7.5*y + 3*t^7.54*y + t^7.95*y + 7*t^7.99*y + 5*t^8.03*y + 3*t^8.47*y + 4*t^8.51*y - t^8.55*y + 2*t^8.96*y | t^2.03/g1^2 + 2*g1^2*t^2.47 + (3*t^2.51)/g1 + t^3. + g1*t^3.49 + 2*g1^2*t^3.97 + (2*t^4.01)/g1 + (2*t^4.05)/g1^4 + 2*t^4.5 + (3*t^4.54)/g1^3 + 3*g1^4*t^4.95 + 6*g1*t^4.99 + (7*t^5.03)/g1^2 + 2*g1^2*t^5.47 + (4*t^5.51)/g1 + (2*t^6.08)/g1^6 + 4*g1^4*t^6.45 + 7*g1*t^6.49 + (8*t^6.53)/g1^2 + (6*t^6.57)/g1^5 + 2*g1^2*t^6.97 + (4*t^7.01)/g1 + (7*t^7.05)/g1^4 + 4*g1^6*t^7.42 + 7*g1^3*t^7.46 + 8*t^7.5 + (11*t^7.54)/g1^3 + 5*g1^4*t^7.95 + 6*g1*t^7.99 + (7*t^8.03)/g1^2 + (2*t^8.07)/g1^5 + (3*t^8.11)/g1^8 - g1^5*t^8.43 - 6*g1^2*t^8.47 - (6*t^8.51)/g1 + (2*t^8.55)/g1^4 + (6*t^8.6)/g1^7 + 6*g1^6*t^8.92 + 10*g1^3*t^8.96 - t^4.5/y - t^6.53/(g1^2*y) - (g1^2*t^6.97)/y - t^7.01/(g1*y) + (2*t^7.5)/y + (3*t^7.54)/(g1^3*y) + (g1^4*t^7.95)/y + (7*g1*t^7.99)/y + (5*t^8.03)/(g1^2*y) + (3*g1^2*t^8.47)/y + (4*t^8.51)/(g1*y) - t^8.55/(g1^4*y) + (2*g1^3*t^8.96)/y - t^4.5*y - (t^6.53*y)/g1^2 - g1^2*t^6.97*y - (t^7.01*y)/g1 + 2*t^7.5*y + (3*t^7.54*y)/g1^3 + g1^4*t^7.95*y + 7*g1*t^7.99*y + (5*t^8.03*y)/g1^2 + 3*g1^2*t^8.47*y + (4*t^8.51*y)/g1 - (t^8.55*y)/g1^4 + 2*g1^3*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 2951 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_4X_1$ | 0.6719 | 0.8594 | 0.7818 | [X:[1.3333], M:[0.8333, 1.1667, 0.8333, 0.6667, 0.8333, 0.8333], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | 6*t^2.5 + t^3. + 6*t^4. + 21*t^5. + 6*t^5.5 - 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 43/64, c: 55/64, X1: 4/3, M1: 5/6, M2: 7/6, M3: 5/6, M4: 2/3, M5: 5/6, M6: 5/6, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 566 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.06 + 2*t^2.44 + 2*t^2.53 + t^3. + 2*t^3.47 + 2*t^3.94 + 2*t^4.03 + 2*t^4.11 + 2*t^4.5 + 2*t^4.58 + 3*t^4.89 + 4*t^4.97 + 4*t^5.06 + 2*t^5.44 + 4*t^5.53 + 2*t^5.92 + t^6. - t^4.5/y - t^4.5*y | detail |