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 |
|---|---|---|---|---|---|---|---|---|---|
| 856 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6409 | 0.8444 | 0.759 | [X:[], M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-5, 7], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_4$, $ M_3M_4$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -5 | 4*t^2.21 + t^2.54 + 2*t^2.85 + t^3.46 + 2*t^3.48 + 3*t^4.12 + 10*t^4.42 + 4*t^4.75 + 8*t^5.06 + t^5.08 + 2*t^5.39 + 2*t^5.67 + 10*t^5.69 - 5*t^6. + 2*t^6.02 + 12*t^6.33 + 16*t^6.63 + 3*t^6.66 + t^6.92 - 2*t^6.94 + 16*t^6.96 - 2*t^7.25 + 15*t^7.27 + 4*t^7.29 - 5*t^7.58 + 12*t^7.6 + t^7.62 + 2*t^7.88 + 22*t^7.9 + 2*t^7.93 - 22*t^8.21 + 15*t^8.23 - 4*t^8.52 + 27*t^8.54 + 2*t^8.56 + 8*t^8.85 + 12*t^8.87 - t^4.58/y - (2*t^6.79)/y + (5*t^7.42)/y + t^7.73/y + (4*t^7.75)/y + (8*t^8.06)/y + (2*t^8.37)/y + (2*t^8.39)/y + (4*t^8.67)/y + (9*t^8.69)/y - t^4.58*y - 2*t^6.79*y + 5*t^7.42*y + t^7.73*y + 4*t^7.75*y + 8*t^8.06*y + 2*t^8.37*y + 2*t^8.39*y + 4*t^8.67*y + 9*t^8.69*y | (2*g1^7*t^2.21)/g2^5 + (2*g2^7*t^2.21)/g1^5 + g1^12*g2^12*t^2.54 + 2*g1^4*g2^4*t^2.85 + t^3.46/(g1^12*g2^12) + g1^13*g2*t^3.48 + g1*g2^13*t^3.48 + (g1^22*t^4.12)/g2^2 + g1^10*g2^10*t^4.12 + (g2^22*t^4.12)/g1^2 + (3*g1^14*t^4.42)/g2^10 + 4*g1^2*g2^2*t^4.42 + (3*g2^14*t^4.42)/g1^10 + 2*g1^19*g2^7*t^4.75 + 2*g1^7*g2^19*t^4.75 + (4*g1^11*t^5.06)/g2 + (4*g2^11*t^5.06)/g1 + g1^24*g2^24*t^5.08 + 2*g1^16*g2^16*t^5.39 + t^5.67/(g1^5*g2^17) + t^5.67/(g1^17*g2^5) + (2*g1^20*t^5.69)/g2^4 + 6*g1^8*g2^8*t^5.69 + (2*g2^20*t^5.69)/g1^4 - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + g1^25*g2^13*t^6.02 + g1^13*g2^25*t^6.02 + (2*g1^29*t^6.33)/g2^7 + 4*g1^17*g2^5*t^6.33 + 4*g1^5*g2^17*t^6.33 + (2*g2^29*t^6.33)/g1^7 + (4*g1^21*t^6.63)/g2^15 + (4*g1^9*t^6.63)/g2^3 + (4*g2^9*t^6.63)/g1^3 + (4*g2^21*t^6.63)/g1^15 + g1^34*g2^10*t^6.66 + g1^22*g2^22*t^6.66 + g1^10*g2^34*t^6.66 + t^6.92/(g1^24*g2^24) - (g1*t^6.94)/g2^11 - (g2*t^6.94)/g1^11 + 5*g1^26*g2^2*t^6.96 + 6*g1^14*g2^14*t^6.96 + 5*g1^2*g2^26*t^6.96 - t^7.25/(g1^7*g2^19) - t^7.25/(g1^19*g2^7) + (5*g1^18*t^7.27)/g2^6 + 5*g1^6*g2^6*t^7.27 + (5*g2^18*t^7.27)/g1^6 + 2*g1^31*g2^19*t^7.29 + 2*g1^19*g2^31*t^7.29 - (g1^10*t^7.58)/g2^14 - (3*t^7.58)/(g1^2*g2^2) - (g2^10*t^7.58)/g1^14 + (g1^35*t^7.6)/g2 + 5*g1^23*g2^11*t^7.6 + 5*g1^11*g2^23*t^7.6 + (g2^35*t^7.6)/g1 + g1^36*g2^36*t^7.62 + (g1^2*t^7.88)/g2^22 + (g2^2*t^7.88)/g1^22 + (3*g1^27*t^7.9)/g2^9 + 8*g1^15*g2^3*t^7.9 + 8*g1^3*g2^15*t^7.9 + (3*g2^27*t^7.9)/g1^9 + 2*g1^28*g2^28*t^7.93 - (2*g1^19*t^8.21)/g2^17 - (9*g1^7*t^8.21)/g2^5 - (9*g2^7*t^8.21)/g1^5 - (2*g2^19*t^8.21)/g1^17 + (g1^44*t^8.23)/g2^4 + 3*g1^32*g2^8*t^8.23 + 7*g1^20*g2^20*t^8.23 + 3*g1^8*g2^32*t^8.23 + (g2^44*t^8.23)/g1^4 - (2*t^8.52)/(g1*g2^13) - (2*t^8.52)/(g1^13*g2) + 6*g1^24*t^8.54 + (3*g1^36*t^8.54)/g2^12 + 9*g1^12*g2^12*t^8.54 + 6*g2^24*t^8.54 + (3*g2^36*t^8.54)/g1^12 + g1^37*g2^25*t^8.56 + g1^25*g2^37*t^8.56 + (5*g1^28*t^8.85)/g2^20 + (2*g1^16*t^8.85)/g2^8 - 6*g1^4*g2^4*t^8.85 + (2*g2^16*t^8.85)/g1^8 + (5*g2^28*t^8.85)/g1^20 + 2*g1^41*g2^5*t^8.87 + 4*g1^29*g2^17*t^8.87 + 4*g1^17*g2^29*t^8.87 + 2*g1^5*g2^41*t^8.87 - t^4.58/(g1^2*g2^2*y) - (g1^5*t^6.79)/(g2^7*y) - (g2^5*t^6.79)/(g1^7*y) + (g1^14*t^7.42)/(g2^10*y) + (3*g1^2*g2^2*t^7.42)/y + (g2^14*t^7.42)/(g1^10*y) + t^7.73/(g1^6*g2^6*y) + (2*g1^19*g2^7*t^7.75)/y + (2*g1^7*g2^19*t^7.75)/y + (4*g1^11*t^8.06)/(g2*y) + (4*g2^11*t^8.06)/(g1*y) + (g1^3*t^8.37)/(g2^9*y) + (g2^3*t^8.37)/(g1^9*y) + (2*g1^16*g2^16*t^8.39)/y + (2*t^8.67)/(g1^5*g2^17*y) + (2*t^8.67)/(g1^17*g2^5*y) + (2*g1^20*t^8.69)/(g2^4*y) + (5*g1^8*g2^8*t^8.69)/y + (2*g2^20*t^8.69)/(g1^4*y) - (t^4.58*y)/(g1^2*g2^2) - (g1^5*t^6.79*y)/g2^7 - (g2^5*t^6.79*y)/g1^7 + (g1^14*t^7.42*y)/g2^10 + 3*g1^2*g2^2*t^7.42*y + (g2^14*t^7.42*y)/g1^10 + (t^7.73*y)/(g1^6*g2^6) + 2*g1^19*g2^7*t^7.75*y + 2*g1^7*g2^19*t^7.75*y + (4*g1^11*t^8.06*y)/g2 + (4*g2^11*t^8.06*y)/g1 + (g1^3*t^8.37*y)/g2^9 + (g2^3*t^8.37*y)/g1^9 + 2*g1^16*g2^16*t^8.39*y + (2*t^8.67*y)/(g1^5*g2^17) + (2*t^8.67*y)/(g1^17*g2^5) + (2*g1^20*t^8.69*y)/g2^4 + 5*g1^8*g2^8*t^8.69*y + (2*g2^20*t^8.69*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2023 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6365 | 0.8356 | 0.7616 | [X:[], M:[0.9626, 1.1121, 0.9626, 0.8879, 0.7033, 0.778], q:[0.7407, 0.2967], qb:[0.4813, 0.4065], phi:[0.5187]] | 2*t^2.11 + 2*t^2.33 + t^2.66 + 2*t^2.89 + t^3.34 + t^3.44 + t^3.67 + t^4. + 4*t^4.22 + 5*t^4.44 + 3*t^4.67 + 2*t^4.77 + 6*t^5. + 4*t^5.22 + t^5.33 + t^5.45 + 4*t^5.55 + t^5.67 + 5*t^5.78 - t^6. - t^4.56/y - t^4.56*y | detail | |
| 2024 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6559 | 0.8685 | 0.7552 | [X:[], M:[0.9574, 1.1279, 0.9574, 0.8721, 0.7258, 0.7529, 0.811], q:[0.7393, 0.3033], qb:[0.4496, 0.4225], phi:[0.5213]] | 2*t^2.18 + 2*t^2.26 + t^2.43 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.49 + t^4.1 + t^4.18 + t^4.26 + 3*t^4.35 + 4*t^4.44 + 3*t^4.52 + 2*t^4.61 + 2*t^4.69 + 2*t^4.79 + t^4.87 + 2*t^4.88 + 5*t^5.05 + 4*t^5.13 + t^5.23 + 2*t^5.31 + 2*t^5.49 + t^5.56 + t^5.64 + 2*t^5.66 + 4*t^5.74 + t^5.82 - 3*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 545 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6216 | 0.8089 | 0.7684 | [X:[], M:[0.9496, 1.1511, 0.9496, 0.8489, 0.7292], q:[0.7374, 0.313], qb:[0.4326, 0.4162], phi:[0.5252]] | 2*t^2.19 + t^2.24 + t^2.55 + 2*t^2.85 + t^3.45 + t^3.46 + t^3.51 + t^3.76 + t^4.07 + t^4.12 + t^4.17 + 3*t^4.38 + 2*t^4.42 + t^4.47 + 2*t^4.73 + t^4.78 + 4*t^5.04 + 3*t^5.09 + 2*t^5.4 + t^5.64 + 2*t^5.65 + 5*t^5.7 + t^5.75 + t^5.95 - 2*t^6. - t^4.58/y - t^4.58*y | detail |