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 |
|---|---|---|---|---|---|---|---|---|---|
| 3262 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6567 | 0.8254 | 0.7956 | [X:[1.6174], M:[0.8522, 0.6781, 1.1478, 0.3826, 0.7705, 0.7652], q:[0.4234, 0.7243], qb:[0.4288, 0.8931], phi:[0.3826]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [-2, 9], [0, -2]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_1M_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ X_1$, $ M_1M_5$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_2^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | . | -2 | t^2.03 + 2*t^2.3 + t^2.31 + t^2.56 + t^3.44 + t^3.46 + t^3.72 + t^3.95 + t^4.07 + 2*t^4.33 + t^4.35 + 4*t^4.59 + 2*t^4.61 + t^4.62 + 3*t^4.85 + t^4.87 + t^5.11 + t^5.48 + t^5.49 + t^5.74 + 3*t^5.75 + t^5.77 - 2*t^6. + 2*t^6.02 + t^6.03 + t^6.1 + t^6.25 + t^6.28 + 2*t^6.36 + t^6.38 + t^6.51 + 4*t^6.63 + 2*t^6.64 + t^6.66 + 7*t^6.89 + 4*t^6.9 + 3*t^6.92 + t^6.93 - t^7.13 + 3*t^7.15 + 2*t^7.16 + 2*t^7.18 - t^7.39 + t^7.44 + t^7.51 + t^7.53 - t^7.65 + t^7.67 + t^7.77 + 3*t^7.79 + t^7.81 + t^7.9 - t^8.03 + 4*t^8.05 + 3*t^8.07 + t^8.08 + t^8.14 - t^8.28 - 5*t^8.3 + t^8.31 + 2*t^8.33 + t^8.34 + 2*t^8.4 + t^8.41 - 5*t^8.56 + 2*t^8.57 + t^8.59 + 4*t^8.66 + 2*t^8.68 + t^8.69 + t^8.8 - t^8.82 + t^8.83 + 7*t^8.92 + 4*t^8.94 + 3*t^8.95 + t^8.97 - t^4.15/y - t^6.18/y - (2*t^6.44)/y - t^6.46/y + (2*t^7.33)/y + t^7.35/y + (2*t^7.59)/y + (2*t^7.61)/y + t^7.84/y + (4*t^7.85)/y + t^7.87/y + t^8.11/y - t^8.22/y - t^8.48/y - t^8.74/y + (2*t^8.75)/y + t^8.98/y - t^4.15*y - t^6.18*y - 2*t^6.44*y - t^6.46*y + 2*t^7.33*y + t^7.35*y + 2*t^7.59*y + 2*t^7.61*y + t^7.84*y + 4*t^7.85*y + t^7.87*y + t^8.11*y - t^8.22*y - t^8.48*y - t^8.74*y + 2*t^8.75*y + t^8.98*y | t^2.03/g2^7 + (2*t^2.3)/g2^2 + (g2^9*t^2.31)/g1^2 + g2^3*t^2.56 + t^3.44/g2^3 + (g2^8*t^3.46)/g1^2 + (g2^13*t^3.72)/g1^2 + (g1^2*t^3.95)/g2^4 + t^4.07/g2^14 + (2*t^4.33)/g2^9 + (g2^2*t^4.35)/g1^2 + (4*t^4.59)/g2^4 + (2*g2^7*t^4.61)/g1^2 + (g2^18*t^4.62)/g1^4 + 3*g2*t^4.85 + (g2^12*t^4.87)/g1^2 + g2^6*t^5.11 + t^5.48/g2^10 + (g2*t^5.49)/g1^2 + t^5.74/g2^5 + (3*g2^6*t^5.75)/g1^2 + (g2^17*t^5.77)/g1^4 - 2*t^6. + (2*g2^11*t^6.02)/g1^2 + (g2^22*t^6.03)/g1^4 + t^6.1/g2^21 + (g1^2*t^6.25)/g2^6 + (g2^16*t^6.28)/g1^2 + (2*t^6.36)/g2^16 + t^6.38/(g1^2*g2^5) + (g1^2*t^6.51)/g2 + (4*t^6.63)/g2^11 + (2*t^6.64)/g1^2 + (g2^11*t^6.66)/g1^4 + (7*t^6.89)/g2^6 + (4*g2^5*t^6.9)/g1^2 + (3*g2^16*t^6.92)/g1^4 + (g2^27*t^6.93)/g1^6 - (g1^2*t^7.13)/g2^12 + (3*t^7.15)/g2 + (2*g2^10*t^7.16)/g1^2 + (2*g2^21*t^7.18)/g1^4 - (g1^2*t^7.39)/g2^7 + (g2^26*t^7.44)/g1^4 + t^7.51/g2^17 + t^7.53/(g1^2*g2^6) - (g1^2*t^7.65)/g2^2 + g2^9*t^7.67 + t^7.77/g2^12 + (3*t^7.79)/(g1^2*g2) + (g2^10*t^7.81)/g1^4 + (g1^4*t^7.9)/g2^8 - t^8.03/g2^7 + (4*g2^4*t^8.05)/g1^2 + (3*g2^15*t^8.07)/g1^4 + (g2^26*t^8.08)/g1^6 + t^8.14/g2^28 - (g1^2*t^8.28)/g2^13 - (5*t^8.3)/g2^2 + (g2^9*t^8.31)/g1^2 + (2*g2^20*t^8.33)/g1^4 + (g2^31*t^8.34)/g1^6 + (2*t^8.4)/g2^23 + t^8.41/(g1^2*g2^12) - 5*g2^3*t^8.56 + (2*g2^14*t^8.57)/g1^2 + (g2^25*t^8.59)/g1^4 + (4*t^8.66)/g2^18 + (2*t^8.68)/(g1^2*g2^7) + (g2^4*t^8.69)/g1^4 + (g1^2*t^8.8)/g2^3 - g2^8*t^8.82 + (g2^19*t^8.83)/g1^2 + (7*t^8.92)/g2^13 + (4*t^8.94)/(g1^2*g2^2) + (3*g2^9*t^8.95)/g1^4 + (g2^20*t^8.97)/g1^6 - t^4.15/(g2*y) - t^6.18/(g2^8*y) - (2*t^6.44)/(g2^3*y) - (g2^8*t^6.46)/(g1^2*y) + (2*t^7.33)/(g2^9*y) + (g2^2*t^7.35)/(g1^2*y) + (2*t^7.59)/(g2^4*y) + (2*g2^7*t^7.61)/(g1^2*y) + (g1^2*t^7.84)/(g2^10*y) + (4*g2*t^7.85)/y + (g2^12*t^7.87)/(g1^2*y) + (g2^6*t^8.11)/y - t^8.22/(g2^15*y) - t^8.48/(g2^10*y) - t^8.74/(g2^5*y) + (2*g2^6*t^8.75)/(g1^2*y) + (g1^2*t^8.98)/(g2^11*y) - (t^4.15*y)/g2 - (t^6.18*y)/g2^8 - (2*t^6.44*y)/g2^3 - (g2^8*t^6.46*y)/g1^2 + (2*t^7.33*y)/g2^9 + (g2^2*t^7.35*y)/g1^2 + (2*t^7.59*y)/g2^4 + (2*g2^7*t^7.61*y)/g1^2 + (g1^2*t^7.84*y)/g2^10 + 4*g2*t^7.85*y + (g2^12*t^7.87*y)/g1^2 + g2^6*t^8.11*y - (t^8.22*y)/g2^15 - (t^8.48*y)/g2^10 - (t^8.74*y)/g2^5 + (2*g2^6*t^8.75*y)/g1^2 + (g1^2*t^8.98*y)/g2^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3685 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ | 0.6714 | 0.8496 | 0.7903 | [X:[1.6168], M:[0.8503, 0.6827, 1.1497, 0.3832, 0.8084, 0.7665, 0.8084], q:[0.4042, 0.7455], qb:[0.4461, 0.8712], phi:[0.3832]] | t^2.05 + 2*t^2.3 + 2*t^2.43 + t^2.55 + t^3.45 + 2*t^3.83 + t^4.1 + 2*t^4.35 + 2*t^4.47 + 4*t^4.6 + 4*t^4.72 + 6*t^4.85 + 2*t^4.98 + t^5.1 + t^5.5 + t^5.75 + 2*t^5.87 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2749 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.8476, 0.689, 1.1524, 0.3841, 0.77], q:[0.4229, 0.7295], qb:[0.4246, 0.8863], phi:[0.3841]] | t^2.07 + t^2.3 + t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.7 + t^3.93 + t^4.13 + t^4.37 + t^4.38 + 3*t^4.61 + t^4.62 + 3*t^4.85 + t^5.09 + t^5.52 + t^5.53 + t^5.76 + 3*t^5.77 - t^6. - t^4.15/y - t^4.15*y | detail |