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 |
|---|---|---|---|---|---|---|---|---|---|
| 1888 | 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_6q_1\tilde{q}_1$ | 0.6371 | 0.8353 | 0.7627 | [X:[], M:[0.958, 1.1261, 0.958, 0.8739, 0.7168, 0.8009], q:[0.7395, 0.3026], qb:[0.4596, 0.4142], phi:[0.521]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-5, 7], [-13, -1]], 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 |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_6$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_6^2$, $ M_4q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_1M_6$, $ M_3M_6$, $ M_1M_4$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_6\phi_1q_2^2$, $ M_6q_1\tilde{q}_2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -2 | 2*t^2.15 + t^2.29 + t^2.4 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.46 + t^3.71 + t^4.05 + t^4.18 + 3*t^4.3 + t^4.32 + 2*t^4.44 + 2*t^4.55 + t^4.57 + t^4.69 + 2*t^4.77 + t^4.81 + t^4.91 + 5*t^5.02 + 2*t^5.16 + t^5.24 + 2*t^5.28 + 2*t^5.5 + t^5.53 + 2*t^5.61 + 3*t^5.75 + t^5.78 + 2*t^5.86 - 2*t^6. + t^6.08 + t^6.12 - t^6.14 + 2*t^6.2 + 4*t^6.33 + 5*t^6.45 + t^6.47 + 4*t^6.59 + t^6.61 + t^6.67 + 3*t^6.7 + t^6.72 + t^6.76 + t^6.81 + t^6.84 + t^6.86 + 5*t^6.92 + t^6.94 + 2*t^6.96 - t^6.98 + 3*t^7.06 + t^7.09 + 8*t^7.17 + 2*t^7.19 + t^7.21 - t^7.23 + 2*t^7.31 + 2*t^7.39 + 5*t^7.43 + t^7.45 + t^7.51 + t^7.53 - t^7.56 + 5*t^7.65 + 3*t^7.68 - t^7.7 + 4*t^7.76 + 2*t^7.78 - t^7.82 + t^7.86 + 6*t^7.9 + t^7.93 + 3*t^8.01 + t^8.03 + t^8.1 + 2*t^8.12 - 3*t^8.15 + t^8.18 + 3*t^8.23 + 2*t^8.27 - 5*t^8.29 + 3*t^8.35 + 4*t^8.37 - 4*t^8.4 - t^8.42 + 7*t^8.49 + t^8.51 + t^8.52 - 3*t^8.54 + 7*t^8.6 + 2*t^8.62 + t^8.64 + t^8.7 + 6*t^8.74 + 2*t^8.82 + 5*t^8.85 - 7*t^8.87 + t^8.89 + t^8.91 + 4*t^8.96 + 2*t^8.99 - t^4.56/y - t^6.71/y - t^6.97/y + t^7.3/y + t^7.44/y + (2*t^7.55)/y + (2*t^7.69)/y + (2*t^7.77)/y + t^7.91/y + (5*t^8.02)/y + (3*t^8.16)/y + (2*t^8.28)/y + t^8.41/y + (2*t^8.5)/y + (2*t^8.53)/y + (2*t^8.61)/y + t^8.67/y + (2*t^8.75)/y + t^8.78/y + (2*t^8.86)/y - t^4.56*y - t^6.71*y - t^6.97*y + t^7.3*y + t^7.44*y + 2*t^7.55*y + 2*t^7.69*y + 2*t^7.77*y + t^7.91*y + 5*t^8.02*y + 3*t^8.16*y + 2*t^8.28*y + t^8.41*y + 2*t^8.5*y + 2*t^8.53*y + 2*t^8.61*y + t^8.67*y + 2*t^8.75*y + t^8.78*y + 2*t^8.86*y | (2*g2^7*t^2.15)/g1^5 + (g1^7*t^2.29)/g2^5 + t^2.4/(g1^13*g2) + g1^12*g2^12*t^2.62 + 2*g1^4*g2^4*t^2.87 + t^3.38/(g1^12*g2^12) + g1*g2^13*t^3.46 + (g2^5*t^3.71)/g1^7 + (g2^22*t^4.05)/g1^2 + g1^10*g2^10*t^4.18 + (3*g2^14*t^4.3)/g1^10 + (g1^22*t^4.32)/g2^2 + 2*g1^2*g2^2*t^4.44 + (2*g2^6*t^4.55)/g1^18 + (g1^14*t^4.57)/g2^10 + t^4.69/(g1^6*g2^6) + 2*g1^7*g2^19*t^4.77 + t^4.81/(g1^26*g2^2) + g1^19*g2^7*t^4.91 + (5*g2^11*t^5.02)/g1 + (2*g1^11*t^5.16)/g2 + g1^24*g2^24*t^5.24 + (2*g2^3*t^5.28)/g1^9 + 2*g1^16*g2^16*t^5.5 + t^5.53/(g1^17*g2^5) + (2*g2^20*t^5.61)/g1^4 + 3*g1^8*g2^8*t^5.75 + t^5.78/(g1^25*g2^13) + (2*g2^12*t^5.86)/g1^12 - 2*t^6. + g1^13*g2^25*t^6.08 + (g2^4*t^6.12)/g1^20 - (g1^12*t^6.14)/g2^12 + (2*g2^29*t^6.2)/g1^7 + 4*g1^5*g2^17*t^6.33 + (5*g2^21*t^6.45)/g1^15 + g1^17*g2^5*t^6.47 + (4*g2^9*t^6.59)/g1^3 + (g1^29*t^6.61)/g2^7 + g1^10*g2^34*t^6.67 + (3*g2^13*t^6.7)/g1^23 + (g1^9*t^6.72)/g2^3 + t^6.76/(g1^24*g2^24) + g1^22*g2^22*t^6.81 + (g2*t^6.84)/g1^11 + (g1^21*t^6.86)/g2^15 + 5*g1^2*g2^26*t^6.92 + g1^34*g2^10*t^6.94 + (2*g2^5*t^6.96)/g1^31 - (g1*t^6.98)/g2^11 + 3*g1^14*g2^14*t^7.06 + t^7.09/(g1^19*g2^7) + (8*g2^18*t^7.17)/g1^6 + 2*g1^26*g2^2*t^7.19 + t^7.21/(g1^39*g2^3) - t^7.23/(g1^7*g2^19) + 2*g1^6*g2^6*t^7.31 + 2*g1^19*g2^31*t^7.39 + (5*g2^10*t^7.43)/g1^14 + (g1^18*t^7.45)/g2^6 + (g2^35*t^7.51)/g1 + g1^31*g2^19*t^7.53 - t^7.56/(g1^2*g2^2) + 5*g1^11*g2^23*t^7.65 + (3*g2^2*t^7.68)/g1^22 - (g1^10*t^7.7)/g2^14 + (4*g2^27*t^7.76)/g1^9 + 2*g1^23*g2^11*t^7.78 - t^7.82/(g1^10*g2^10) + g1^36*g2^36*t^7.86 + 6*g1^3*g2^15*t^7.9 + t^7.93/(g1^30*g2^6) + (3*g2^19*t^8.01)/g1^17 + g1^15*g2^3*t^8.03 + (g2^44*t^8.1)/g1^4 + 2*g1^28*g2^28*t^8.12 - (3*g2^7*t^8.15)/g1^5 + t^8.18/(g1^38*g2^14) + 3*g1^8*g2^32*t^8.23 + (2*g2^11*t^8.27)/g1^25 - (5*g1^7*t^8.29)/g2^5 + (3*g2^36*t^8.35)/g1^12 + 4*g1^20*g2^20*t^8.37 - (4*t^8.4)/(g1^13*g2) - (g1^19*t^8.42)/g2^17 + 7*g2^24*t^8.49 + g1^32*g2^8*t^8.51 + (g2^3*t^8.52)/g1^33 - (3*t^8.54)/(g1*g2^13) + (7*g2^28*t^8.6)/g1^20 + 2*g1^12*g2^12*t^8.62 + (g1^44*t^8.64)/g2^4 + g1^25*g2^37*t^8.7 + (6*g2^16*t^8.74)/g1^8 + 2*g1^5*g2^41*t^8.82 + (5*g2^20*t^8.85)/g1^28 - 7*g1^4*g2^4*t^8.87 + (g1^36*t^8.89)/g2^12 + t^8.91/(g1^29*g2^17) + 4*g1^17*g2^29*t^8.96 + (2*g2^8*t^8.99)/g1^16 - t^4.56/(g1^2*g2^2*y) - (g2^5*t^6.71)/(g1^7*y) - t^6.97/(g1^15*g2^3*y) + (g2^14*t^7.3)/(g1^10*y) + (g1^2*g2^2*t^7.44)/y + (2*g2^6*t^7.55)/(g1^18*y) + (2*t^7.69)/(g1^6*g2^6*y) + (2*g1^7*g2^19*t^7.77)/y + (g1^19*g2^7*t^7.91)/y + (5*g2^11*t^8.02)/(g1*y) + (3*g1^11*t^8.16)/(g2*y) + (2*g2^3*t^8.28)/(g1^9*y) + (g1^3*t^8.41)/(g2^9*y) + (2*g1^16*g2^16*t^8.5)/y + (2*t^8.53)/(g1^17*g2^5*y) + (2*g2^20*t^8.61)/(g1^4*y) + t^8.67/(g1^5*g2^17*y) + (2*g1^8*g2^8*t^8.75)/y + t^8.78/(g1^25*g2^13*y) + (2*g2^12*t^8.86)/(g1^12*y) - (t^4.56*y)/(g1^2*g2^2) - (g2^5*t^6.71*y)/g1^7 - (t^6.97*y)/(g1^15*g2^3) + (g2^14*t^7.3*y)/g1^10 + g1^2*g2^2*t^7.44*y + (2*g2^6*t^7.55*y)/g1^18 + (2*t^7.69*y)/(g1^6*g2^6) + 2*g1^7*g2^19*t^7.77*y + g1^19*g2^7*t^7.91*y + (5*g2^11*t^8.02*y)/g1 + (3*g1^11*t^8.16*y)/g2 + (2*g2^3*t^8.28*y)/g1^9 + (g1^3*t^8.41*y)/g2^9 + 2*g1^16*g2^16*t^8.5*y + (2*t^8.53*y)/(g1^17*g2^5) + (2*g2^20*t^8.61*y)/g1^4 + (t^8.67*y)/(g1^5*g2^17) + 2*g1^8*g2^8*t^8.75*y + (t^8.78*y)/(g1^25*g2^13) + (2*g2^12*t^8.86*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2911 | $M_1q_1q_2$ + $ 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_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.6356 | 0.8354 | 0.7609 | [X:[], M:[0.9443, 1.1671, 0.9443, 0.8329, 0.7215, 0.8329], q:[0.7361, 0.3196], qb:[0.431, 0.4019], phi:[0.5279]] | 2*t^2.16 + t^2.25 + 2*t^2.5 + 2*t^2.83 + t^3.41 + t^3.5 + t^3.75 + t^3.99 + t^4.08 + t^4.17 + 3*t^4.33 + 2*t^4.42 + t^4.5 + 4*t^4.66 + 2*t^4.75 + 7*t^5. + 2*t^5.08 + 4*t^5.33 + 2*t^5.58 + 4*t^5.67 + 3*t^5.91 - t^6. - t^4.58/y - t^4.58*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 |