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 |
|---|---|---|---|---|---|---|---|---|---|
| 1899 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6244 | 0.811 | 0.77 | [X:[], M:[0.9923, 1.023, 1.0077, 0.7481, 0.7634], q:[0.7481, 0.2596], qb:[0.4885, 0.4885], phi:[0.5038]] | [X:[], M:[[4], [-12], [-4], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_5$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_5q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -2 | 3*t^2.24 + t^2.29 + 2*t^3.02 + 2*t^3.07 + t^3.71 + t^3.76 + 3*t^4.44 + 6*t^4.49 + 3*t^4.53 + t^4.58 + 6*t^5.27 + 6*t^5.31 + 2*t^5.36 + 2*t^5.95 - 2*t^6. + 2*t^6.05 + 4*t^6.09 + 3*t^6.14 + 5*t^6.69 + 11*t^6.73 + 6*t^6.78 + 3*t^6.82 + t^6.87 - 2*t^7.42 + 2*t^7.47 + 11*t^7.51 + 12*t^7.56 + 6*t^7.6 + 2*t^7.65 + t^8.15 - 10*t^8.24 + t^8.29 + 10*t^8.34 + 9*t^8.38 + 3*t^8.43 + 5*t^8.89 + 6*t^8.93 + 13*t^8.98 - t^4.51/y - t^6.76/y - t^6.8/y + t^7.44/y + (4*t^7.49)/y + (2*t^7.53)/y - t^7.58/y + t^8.22/y + (7*t^8.27)/y + (8*t^8.31)/y + (2*t^8.36)/y + (3*t^8.95)/y - t^4.51*y - t^6.76*y - t^6.8*y + t^7.44*y + 4*t^7.49*y + 2*t^7.53*y - t^7.58*y + t^8.22*y + 7*t^8.27*y + 8*t^8.31*y + 2*t^8.36*y + 3*t^8.95*y | 3*g1*t^2.24 + t^2.29/g1^7 + (2*t^3.02)/g1^4 + (2*t^3.07)/g1^12 + g1^7*t^3.71 + t^3.76/g1 + 3*g1^10*t^4.44 + 6*g1^2*t^4.49 + (3*t^4.53)/g1^6 + t^4.58/g1^14 + (6*t^5.27)/g1^3 + (6*t^5.31)/g1^11 + (2*t^5.36)/g1^19 + 2*g1^8*t^5.95 - 2*t^6. + (2*t^6.05)/g1^8 + (4*t^6.09)/g1^16 + (3*t^6.14)/g1^24 + 5*g1^11*t^6.69 + 11*g1^3*t^6.73 + (6*t^6.78)/g1^5 + (3*t^6.82)/g1^13 + t^6.87/g1^21 - 2*g1^14*t^7.42 + 2*g1^6*t^7.47 + (11*t^7.51)/g1^2 + (12*t^7.56)/g1^10 + (6*t^7.6)/g1^18 + (2*t^7.65)/g1^26 + g1^17*t^8.15 - 10*g1*t^8.24 + t^8.29/g1^7 + (10*t^8.34)/g1^15 + (9*t^8.38)/g1^23 + (3*t^8.43)/g1^31 + 5*g1^20*t^8.89 + 6*g1^12*t^8.93 + 13*g1^4*t^8.98 - t^4.51/(g1^2*y) - t^6.76/(g1*y) - t^6.8/(g1^9*y) + (g1^10*t^7.44)/y + (4*g1^2*t^7.49)/y + (2*t^7.53)/(g1^6*y) - t^7.58/(g1^14*y) + (g1^5*t^8.22)/y + (7*t^8.27)/(g1^3*y) + (8*t^8.31)/(g1^11*y) + (2*t^8.36)/(g1^19*y) + (3*g1^8*t^8.95)/y - (t^4.51*y)/g1^2 - (t^6.76*y)/g1 - (t^6.8*y)/g1^9 + g1^10*t^7.44*y + 4*g1^2*t^7.49*y + (2*t^7.53*y)/g1^6 - (t^7.58*y)/g1^14 + g1^5*t^8.22*y + (7*t^8.27*y)/g1^3 + (8*t^8.31*y)/g1^11 + (2*t^8.36*y)/g1^19 + 3*g1^8*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 2923 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_5$ | 0.6116 | 0.7925 | 0.7717 | [X:[], M:[0.9474, 1.1579, 1.0526, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.21 + t^2.53 + 2*t^3.16 + 3*t^3.47 + t^3.79 + 3*t^4.11 + 6*t^4.42 + 3*t^4.74 + t^5.05 + 6*t^5.37 + 8*t^5.68 - t^4.58/y - t^4.58*y | detail | {a: 67119/109744, c: 43487/54872, M1: 18/19, M2: 22/19, M3: 20/19, M4: 14/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 542 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6062 | 0.7779 | 0.7793 | [X:[], M:[0.9855, 1.0434, 1.0145, 0.7464], q:[0.7464, 0.2681], qb:[0.4783, 0.4783], phi:[0.5072]] | 3*t^2.24 + 2*t^3.04 + 2*t^3.13 + 2*t^3.67 + t^3.76 + 3*t^4.39 + 6*t^4.48 + 6*t^5.28 + 4*t^5.37 + 5*t^5.91 - 3*t^6. - t^4.52/y - t^4.52*y | detail |