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 |
|---|---|---|---|---|---|---|---|---|---|
| 642 | 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_1M_4$ + $ M_2M_5$ | 0.6438 | 0.8203 | 0.7848 | [X:[], M:[1.2163, 1.1082, 0.6755, 0.7837, 0.8918], q:[0.75, 0.4255], qb:[0.3582, 0.4663], phi:[0.5]] | [X:[], M:[[2], [1], [-3], [-2], [-1]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3q_1q_2$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1q_2$, $ M_3\phi_1q_2\tilde{q}_1$ | $M_5q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$ | 1 | t^2.03 + t^2.35 + t^2.47 + t^2.68 + t^3. + t^3.32 + t^3.53 + 2*t^3.65 + t^3.85 + 2*t^4.05 + t^4.18 + t^4.3 + t^4.38 + t^4.5 + 2*t^4.7 + t^4.82 + t^4.95 + 2*t^5.03 + t^5.15 + 3*t^5.35 + t^5.47 + t^5.55 + 3*t^5.68 + t^5.88 + t^6. + 2*t^6.08 + t^6.12 + 2*t^6.2 + 2*t^6.32 + 2*t^6.4 + 3*t^6.53 + 2*t^6.65 + 3*t^6.73 + t^6.77 + 2*t^6.85 + 2*t^6.97 + 4*t^7.05 + 2*t^7.18 + 2*t^7.3 + 4*t^7.38 + t^7.42 + t^7.5 + 2*t^7.58 + 6*t^7.7 + t^7.82 + 2*t^7.9 + 2*t^7.95 + 2*t^8.03 + 3*t^8.11 + 3*t^8.23 + 3*t^8.35 + 2*t^8.43 + 3*t^8.55 + 2*t^8.6 + 4*t^8.75 + 3*t^8.88 - t^4.5/y - t^6.53/y + t^7.38/y + t^7.5/y + t^7.7/y + t^7.82/y + (2*t^8.03)/y + t^8.15/y + (2*t^8.35)/y + (2*t^8.47)/y + (4*t^8.68)/y + t^8.8/y + (2*t^8.88)/y - t^4.5*y - t^6.53*y + t^7.38*y + t^7.5*y + t^7.7*y + t^7.82*y + 2*t^8.03*y + t^8.15*y + 2*t^8.35*y + 2*t^8.47*y + 4*t^8.68*y + t^8.8*y + 2*t^8.88*y | t^2.03/g1^3 + t^2.35/g1^2 + g1^3*t^2.47 + t^2.68/g1 + t^3. + g1*t^3.32 + t^3.53/g1^3 + 2*g1^2*t^3.65 + t^3.85/g1^2 + (2*t^4.05)/g1^6 + t^4.18/g1 + g1^4*t^4.3 + t^4.38/g1^5 + t^4.5 + (2*t^4.7)/g1^4 + g1*t^4.82 + g1^6*t^4.95 + (2*t^5.03)/g1^3 + g1^2*t^5.15 + (3*t^5.35)/g1^2 + g1^3*t^5.47 + t^5.55/g1^6 + (3*t^5.68)/g1 + t^5.88/g1^5 + t^6. + (2*t^6.08)/g1^9 + g1^5*t^6.12 + (2*t^6.2)/g1^4 + 2*g1*t^6.32 + (2*t^6.4)/g1^8 + (3*t^6.53)/g1^3 + 2*g1^2*t^6.65 + (3*t^6.73)/g1^7 + g1^7*t^6.77 + (2*t^6.85)/g1^2 + 2*g1^3*t^6.97 + (4*t^7.05)/g1^6 + (2*t^7.18)/g1 + 2*g1^4*t^7.3 + (4*t^7.38)/g1^5 + g1^9*t^7.42 + t^7.5 + (2*t^7.58)/g1^9 + (6*t^7.7)/g1^4 + g1*t^7.82 + (2*t^7.9)/g1^8 + 2*g1^6*t^7.95 + (2*t^8.03)/g1^3 + (3*t^8.11)/g1^12 + (3*t^8.23)/g1^7 + (3*t^8.35)/g1^2 + (2*t^8.43)/g1^11 + (3*t^8.55)/g1^6 + 2*g1^8*t^8.6 + (4*t^8.75)/g1^10 + (3*t^8.88)/g1^5 - t^4.5/y - t^6.53/(g1^3*y) + t^7.38/(g1^5*y) + t^7.5/y + t^7.7/(g1^4*y) + (g1*t^7.82)/y + (2*t^8.03)/(g1^3*y) + (g1^2*t^8.15)/y + (2*t^8.35)/(g1^2*y) + (2*g1^3*t^8.47)/y + (4*t^8.68)/(g1*y) + (g1^4*t^8.8)/y + (2*t^8.88)/(g1^5*y) - t^4.5*y - (t^6.53*y)/g1^3 + (t^7.38*y)/g1^5 + t^7.5*y + (t^7.7*y)/g1^4 + g1*t^7.82*y + (2*t^8.03*y)/g1^3 + g1^2*t^8.15*y + (2*t^8.35*y)/g1^2 + 2*g1^3*t^8.47*y + (4*t^8.68*y)/g1 + g1^4*t^8.8*y + (2*t^8.88*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1959 | $\phi_1q_1^2$ + $ 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_1M_4$ + $ M_2M_5$ + $ M_3q_1q_2$ | 0.6343 | 0.8062 | 0.7868 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.9167], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 2*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 4*t^5.75 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 1299/2048, c: 1651/2048, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 11/12, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 1963 | $\phi_1q_1^2$ + $ 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_1M_4$ + $ M_2M_5$ + $ M_6q_1q_2$ | 0.6593 | 0.8468 | 0.7786 | [X:[], M:[1.2045, 1.1022, 0.6933, 0.7955, 0.8978, 0.8067], q:[0.75, 0.4433], qb:[0.3522, 0.4545], phi:[0.5]] | t^2.08 + t^2.39 + 2*t^2.42 + t^2.69 + t^3. + t^3.31 + 2*t^3.61 + t^3.89 + 2*t^4.16 + t^4.19 + t^4.23 + t^4.47 + 2*t^4.5 + 2*t^4.77 + 2*t^4.81 + 3*t^4.84 + 2*t^5.08 + 2*t^5.11 + 3*t^5.39 + 2*t^5.42 + 3*t^5.69 + t^5.73 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 398 | 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_1M_4$ | 0.6341 | 0.8036 | 0.7891 | [X:[], M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + t^2.37 + t^2.45 + t^3. + 2*t^3.32 + t^3.55 + 2*t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + t^4.42 + t^4.5 + t^4.73 + t^4.82 + t^4.9 + t^5.05 + 3*t^5.37 + t^5.45 + t^5.6 + 3*t^5.68 + t^5.77 + t^5.92 - t^4.5/y - t^4.5*y | detail |