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 |
|---|---|---|---|---|---|---|---|---|---|
| 55226 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ + $ M_7\phi_1q_1^2$ | 0.7289 | 0.9135 | 0.7979 | [X:[], M:[1.0067, 1.0715, 0.9933, 0.8502, 0.9285, 0.9285, 0.6694], q:[0.4251, 0.5682], qb:[0.5033, 0.5816], phi:[0.4804]] | [X:[], M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [12, -4], [-17, 9]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_2^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_1M_7$, $ M_4^2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_3M_5$, $ M_3M_6$, $ \phi_1^4$, $ M_1M_5$, $ M_1M_6$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$ | . | -3 | t^2.01 + t^2.55 + 2*t^2.79 + t^2.88 + t^2.98 + t^3.02 + t^3.25 + t^4.02 + t^4.23 + t^4.42 + 2*t^4.46 + t^4.56 + t^4.66 + t^4.7 + 2*t^4.79 + t^4.85 + 2*t^4.89 + t^4.93 + t^4.99 + t^5.03 + t^5.1 + t^5.26 + 2*t^5.34 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.77 + 2*t^5.81 + t^5.86 + t^5.9 - 3*t^6. + t^6.02 + 2*t^6.04 + t^6.14 - t^6.19 - t^6.23 + t^6.27 + t^6.47 + t^6.51 + t^6.57 + t^6.66 + t^6.7 + t^6.78 + 2*t^6.8 + t^6.86 + 2*t^6.9 + t^6.94 + t^7. + 3*t^7.01 + t^7.04 + t^7.11 + t^7.21 + 4*t^7.25 + t^7.27 + t^7.3 + 3*t^7.34 + t^7.4 + 2*t^7.44 + 4*t^7.48 + 2*t^7.58 + t^7.64 + t^7.65 + 2*t^7.68 + 4*t^7.72 + t^7.73 + t^7.77 + 2*t^7.81 + t^7.83 + t^7.87 + 2*t^7.89 + t^7.91 + 2*t^7.95 - t^7.97 + t^7.98 - 4*t^8.01 + t^8.03 + t^8.05 + 3*t^8.12 + t^8.15 + t^8.19 - t^8.2 + 2*t^8.22 - t^8.24 + t^8.28 - t^8.32 + 4*t^8.36 + 3*t^8.45 + t^8.48 + t^8.52 - 3*t^8.55 + t^8.57 + 3*t^8.59 + t^8.65 + t^8.67 + 3*t^8.69 + t^8.71 - 8*t^8.79 + 2*t^8.81 + 3*t^8.83 + t^8.87 - 2*t^8.88 + 2*t^8.91 + 4*t^8.92 + t^8.95 - 4*t^8.98 - t^4.44/y - t^6.45/y - t^6.99/y - t^7.23/y - t^7.32/y + (2*t^7.56)/y + t^7.66/y + (2*t^7.79)/y + (2*t^7.89)/y + t^7.99/y + t^8.03/y + t^8.26/y + (2*t^8.34)/y + (2*t^8.43)/y - t^8.46/y + t^8.53/y + (2*t^8.57)/y + (2*t^8.67)/y + (2*t^8.77)/y + (3*t^8.81)/y + t^8.86/y + t^8.9/y - t^4.44*y - t^6.45*y - t^6.99*y - t^7.23*y - t^7.32*y + 2*t^7.56*y + t^7.66*y + 2*t^7.79*y + 2*t^7.89*y + t^7.99*y + t^8.03*y + t^8.26*y + 2*t^8.34*y + 2*t^8.43*y - t^8.46*y + t^8.53*y + 2*t^8.57*y + 2*t^8.67*y + 2*t^8.77*y + 3*t^8.81*y + t^8.86*y + t^8.9*y | (g2^9*t^2.01)/g1^17 + (g1^16*t^2.55)/g2^8 + (2*g1^12*t^2.79)/g2^4 + (g1^2*t^2.88)/g2^2 + t^2.98/g1^8 + g1^8*t^3.02 + g1^4*g2^4*t^3.25 + (g2^18*t^4.02)/g1^34 + (g1^13*t^4.23)/g2^5 + t^4.42/(g1^7*g2) + (2*g1^9*t^4.46)/g2 + (g2*t^4.56)/g1 + (g2^3*t^4.66)/g1^11 + g1^5*g2^3*t^4.7 + (2*g2^5*t^4.79)/g1^5 + (g2^7*t^4.85)/g1^31 + (2*g2^7*t^4.89)/g1^15 + g1*g2^7*t^4.93 + (g2^9*t^4.99)/g1^25 + (g2^9*t^5.03)/g1^9 + (g1^32*t^5.1)/g2^16 + (g2^13*t^5.26)/g1^13 + (2*g1^28*t^5.34)/g2^12 + (g1^18*t^5.43)/g2^10 + (3*g1^24*t^5.57)/g2^8 + (2*g1^14*t^5.67)/g2^6 + (g1^4*t^5.77)/g2^4 + (2*g1^20*t^5.81)/g2^4 + t^5.86/(g1^6*g2^2) + (g1^10*t^5.9)/g2^2 - 3*t^6. + (g2^27*t^6.02)/g1^51 + 2*g1^16*t^6.04 + g1^6*g2^2*t^6.14 - (g2^4*t^6.19)/g1^20 - (g2^4*t^6.23)/g1^4 + g1^12*g2^4*t^6.27 + (g2^8*t^6.47)/g1^8 + g1^8*g2^8*t^6.51 + (g2^10*t^6.57)/g1^18 + (g2^12*t^6.66)/g1^28 + (g2^12*t^6.7)/g1^12 + (g1^29*t^6.78)/g2^13 + (2*g2^14*t^6.8)/g1^22 + (g2^16*t^6.86)/g1^48 + (2*g2^16*t^6.9)/g1^32 + (g2^16*t^6.94)/g1^16 + (g2^18*t^7.)/g1^42 + (3*g1^25*t^7.01)/g2^9 + (g2^18*t^7.04)/g1^26 + (g1^15*t^7.11)/g2^7 + (g1^5*t^7.21)/g2^5 + (4*g1^21*t^7.25)/g2^5 + (g2^22*t^7.27)/g1^30 + t^7.3/(g1^5*g2^3) + (3*g1^11*t^7.34)/g2^3 + t^7.4/(g1^15*g2) + (2*g1*t^7.44)/g2 + (4*g1^17*t^7.48)/g2 + 2*g1^7*g2*t^7.58 + (g2^3*t^7.64)/g1^19 + (g1^48*t^7.65)/g2^24 + (2*g2^3*t^7.68)/g1^3 + 4*g1^13*g2^3*t^7.72 + (g2^5*t^7.73)/g1^29 + (g2^5*t^7.77)/g1^13 + 2*g1^3*g2^5*t^7.81 + (g2^7*t^7.83)/g1^39 + (g2^7*t^7.87)/g1^23 + (2*g1^44*t^7.89)/g2^20 + (g2^7*t^7.91)/g1^7 + 2*g1^9*g2^7*t^7.95 - (g2^9*t^7.97)/g1^33 + (g1^34*t^7.98)/g2^18 - (4*g2^9*t^8.01)/g1^17 + (g2^36*t^8.03)/g1^68 + (g2^9*t^8.05)/g1 + (3*g1^40*t^8.12)/g2^16 + (g2^11*t^8.15)/g1^11 + g1^5*g2^11*t^8.19 - (g2^13*t^8.2)/g1^37 + (2*g1^30*t^8.22)/g2^14 - (g2^13*t^8.24)/g1^21 + (g2^13*t^8.28)/g1^5 - (g1^20*t^8.32)/g2^12 + (4*g1^36*t^8.36)/g2^12 + (3*g1^26*t^8.45)/g2^10 + (g2^17*t^8.48)/g1^25 + (g2^17*t^8.52)/g1^9 - (3*g1^16*t^8.55)/g2^8 + (g2^19*t^8.57)/g1^35 + (3*g1^32*t^8.59)/g2^8 + (g1^6*t^8.65)/g2^6 + (g2^21*t^8.67)/g1^45 + (3*g1^22*t^8.69)/g2^6 + (g2^21*t^8.71)/g1^29 - (8*g1^12*t^8.79)/g2^4 + (2*g2^23*t^8.81)/g1^39 + (3*g1^28*t^8.83)/g2^4 + (g2^25*t^8.87)/g1^65 - (2*g1^2*t^8.88)/g2^2 + (2*g2^25*t^8.91)/g1^49 + (4*g1^18*t^8.92)/g2^2 + (g2^25*t^8.95)/g1^33 - (4*t^8.98)/g1^8 - (g1*t^4.44)/(g2*y) - (g2^8*t^6.45)/(g1^16*y) - (g1^17*t^6.99)/(g2^9*y) - (g1^13*t^7.23)/(g2^5*y) - (g1^3*t^7.32)/(g2^3*y) + (2*g2*t^7.56)/(g1*y) + (g2^3*t^7.66)/(g1^11*y) + (2*g2^5*t^7.79)/(g1^5*y) + (2*g2^7*t^7.89)/(g1^15*y) + (g2^9*t^7.99)/(g1^25*y) + (g2^9*t^8.03)/(g1^9*y) + (g2^13*t^8.26)/(g1^13*y) + (2*g1^28*t^8.34)/(g2^12*y) + (2*g1^18*t^8.43)/(g2^10*y) - (g2^17*t^8.46)/(g1^33*y) + (g1^8*t^8.53)/(g2^8*y) + (2*g1^24*t^8.57)/(g2^8*y) + (2*g1^14*t^8.67)/(g2^6*y) + (2*g1^4*t^8.77)/(g2^4*y) + (3*g1^20*t^8.81)/(g2^4*y) + t^8.86/(g1^6*g2^2*y) + (g1^10*t^8.9)/(g2^2*y) - (g1*t^4.44*y)/g2 - (g2^8*t^6.45*y)/g1^16 - (g1^17*t^6.99*y)/g2^9 - (g1^13*t^7.23*y)/g2^5 - (g1^3*t^7.32*y)/g2^3 + (2*g2*t^7.56*y)/g1 + (g2^3*t^7.66*y)/g1^11 + (2*g2^5*t^7.79*y)/g1^5 + (2*g2^7*t^7.89*y)/g1^15 + (g2^9*t^7.99*y)/g1^25 + (g2^9*t^8.03*y)/g1^9 + (g2^13*t^8.26*y)/g1^13 + (2*g1^28*t^8.34*y)/g2^12 + (2*g1^18*t^8.43*y)/g2^10 - (g2^17*t^8.46*y)/g1^33 + (g1^8*t^8.53*y)/g2^8 + (2*g1^24*t^8.57*y)/g2^8 + (2*g1^14*t^8.67*y)/g2^6 + (2*g1^4*t^8.77*y)/g2^4 + (3*g1^20*t^8.81*y)/g2^4 + (t^8.86*y)/(g1^6*g2^2) + (g1^10*t^8.9*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56877 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ + $ M_7\phi_1q_1^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7139 | 0.8924 | 0.8 | [X:[], M:[1.0681, 1.0857, 0.9319, 0.7604, 0.9143, 0.9143, 0.778], q:[0.3802, 0.5517], qb:[0.5341, 0.6879], phi:[0.4615]] | t^2.28 + t^2.33 + 2*t^2.74 + t^2.77 + t^2.8 + t^3.2 + t^3.67 + t^4.13 + t^4.18 + t^4.56 + 2*t^4.59 + t^4.62 + t^4.64 + t^4.67 + t^4.69 + 2*t^5.02 + 2*t^5.05 + 2*t^5.08 + 2*t^5.1 + t^5.13 + 3*t^5.49 + 3*t^5.51 + 2*t^5.54 + t^5.56 + 2*t^5.95 + t^5.97 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 56874 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ + $ M_7\phi_1q_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.5957 | 0.7565 | 0.7874 | [X:[], M:[1.281, 1.011, 0.719, 0.6969, 0.989, 0.989, 0.8761], q:[0.3485, 0.3706], qb:[0.6405, 0.9325], phi:[0.427]] | t^2.09 + t^2.16 + t^2.56 + t^2.63 + 2*t^2.97 + t^3.44 + t^3.5 + t^3.84 + t^4.18 + t^4.25 + t^4.31 + t^4.65 + 3*t^4.72 + t^4.79 + 2*t^5.06 + 3*t^5.12 + t^5.19 + t^5.26 + 2*t^5.53 + 3*t^5.6 + t^5.66 + 3*t^5.93 - t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47052 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ | 0.708 | 0.8721 | 0.8119 | [X:[], M:[1.0068, 1.0721, 0.9932, 0.8491, 0.9279, 0.9279], q:[0.4245, 0.5687], qb:[0.5034, 0.5822], phi:[0.4803]] | t^2.55 + 2*t^2.78 + t^2.88 + t^2.98 + t^3.02 + t^3.26 + t^3.99 + t^4.22 + t^4.42 + 2*t^4.46 + t^4.66 + t^4.7 + t^4.85 + t^4.89 + t^4.93 + t^5.09 + 2*t^5.33 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.76 + 2*t^5.8 + t^5.86 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |