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 |
|---|---|---|---|---|---|---|---|---|---|
| 1894 | 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6305 | 0.8225 | 0.7665 | [X:[], M:[0.9712, 1.0863, 1.0288, 0.9137, 0.7209, 0.7784], q:[0.7428, 0.286], qb:[0.4788, 0.4349], phi:[0.5144]] | [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_3$, $ \phi_1^2$, $ \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_6^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4^2$, $ M_6\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ 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^2.16 + t^2.29 + t^2.34 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.53 + t^3.71 + t^4.15 + t^4.28 + 3*t^4.33 + t^4.42 + 2*t^4.46 + 2*t^4.5 + t^4.59 + t^4.63 + t^4.67 + 2*t^4.9 + t^5.04 + t^5.08 + 4*t^5.25 + 2*t^5.38 + 3*t^5.42 + t^5.48 + t^5.59 + 2*t^5.7 + 2*t^5.83 + 2*t^5.87 - 2*t^6. + t^6.04 - t^6.13 + t^6.17 + t^6.27 + 2*t^6.32 + 2*t^6.35 + 2*t^6.45 + 5*t^6.49 + t^6.52 + t^6.58 + 4*t^6.62 + 3*t^6.66 + t^6.71 + t^6.75 + 3*t^6.79 + 2*t^6.83 + t^6.88 + t^6.89 - t^6.92 + t^6.96 + t^7.01 + t^7.03 + 3*t^7.07 - t^7.1 + t^7.16 + t^7.2 + 4*t^7.24 + 7*t^7.41 + t^7.5 + t^7.54 + 5*t^7.58 + 2*t^7.64 + t^7.67 + t^7.69 + t^7.72 + 3*t^7.76 + t^7.78 + t^7.82 + 4*t^7.86 + t^7.93 + 2*t^7.99 + 3*t^8.03 - 4*t^8.16 + 2*t^8.2 + t^8.22 - 5*t^8.29 + t^8.31 + t^8.38 - t^8.43 + 3*t^8.44 + 3*t^8.48 + 3*t^8.51 + 3*t^8.57 + 3*t^8.61 + 7*t^8.65 + 3*t^8.68 + t^8.7 - 2*t^8.74 + 6*t^8.78 + 5*t^8.82 + t^8.83 + t^8.85 + 4*t^8.95 - t^4.54/y - t^6.71/y - t^6.88/y + t^7.33/y + (3*t^7.46)/y + (2*t^7.5)/y + (2*t^7.9)/y + t^8.04/y + t^8.08/y + t^8.21/y + (4*t^8.25)/y + (3*t^8.38)/y + (4*t^8.42)/y + t^8.55/y + t^8.59/y + (2*t^8.7)/y + (3*t^8.83)/y + (2*t^8.87)/y - t^4.54*y - t^6.71*y - t^6.88*y + t^7.33*y + 3*t^7.46*y + 2*t^7.5*y + 2*t^7.9*y + t^8.04*y + t^8.08*y + t^8.21*y + 4*t^8.25*y + 3*t^8.38*y + 4*t^8.42*y + t^8.55*y + t^8.59*y + 2*t^8.7*y + 3*t^8.83*y + 2*t^8.87*y | (2*g2^7*t^2.16)/g1^5 + (g1^7*t^2.29)/g2^5 + t^2.34/(g1^13*g2) + g1^12*g2^12*t^2.74 + (2*t^3.09)/(g1^4*g2^4) + t^3.26/(g1^12*g2^12) + g1*g2^13*t^3.53 + (g2^5*t^3.71)/g1^7 + (g2^22*t^4.15)/g1^2 + g1^10*g2^10*t^4.28 + (3*g2^14*t^4.33)/g1^10 + (g1^22*t^4.42)/g2^2 + 2*g1^2*g2^2*t^4.46 + (2*g2^6*t^4.5)/g1^18 + (g1^14*t^4.59)/g2^10 + t^4.63/(g1^6*g2^6) + t^4.67/(g1^26*g2^2) + 2*g1^7*g2^19*t^4.9 + g1^19*g2^7*t^5.04 + (g2^11*t^5.08)/g1 + (4*g2^3*t^5.25)/g1^9 + (2*g1^3*t^5.38)/g2^9 + (3*t^5.42)/(g1^17*g2^5) + g1^24*g2^24*t^5.48 + t^5.59/(g1^25*g2^13) + (2*g2^20*t^5.7)/g1^4 + 2*g1^8*g2^8*t^5.83 + (2*g2^12*t^5.87)/g1^12 - 2*t^6. + (g2^4*t^6.04)/g1^20 - (g1^12*t^6.13)/g2^12 + t^6.17/(g1^8*g2^8) + g1^13*g2^25*t^6.27 + (2*g2^29*t^6.32)/g1^7 + (2*t^6.35)/(g1^16*g2^16) + 2*g1^5*g2^17*t^6.45 + (5*g2^21*t^6.49)/g1^15 + t^6.52/(g1^24*g2^24) + g1^17*g2^5*t^6.58 + (4*g2^9*t^6.62)/g1^3 + (3*g2^13*t^6.66)/g1^23 + (g1^29*t^6.71)/g2^7 + (g1^9*t^6.75)/g2^3 + (3*g2*t^6.79)/g1^11 + (2*g2^5*t^6.83)/g1^31 + (g1^21*t^6.88)/g2^15 + g1^10*g2^34*t^6.89 - (g1*t^6.92)/g2^11 + t^6.96/(g1^19*g2^7) + t^7.01/(g1^39*g2^3) + g1^22*g2^22*t^7.03 + 3*g1^2*g2^26*t^7.07 - t^7.1/(g1^7*g2^19) + g1^34*g2^10*t^7.16 + g1^14*g2^14*t^7.2 + (4*g2^18*t^7.24)/g1^6 + (7*g2^10*t^7.41)/g1^14 + (g1^18*t^7.5)/g2^6 + t^7.54/(g1^2*g2^2) + (5*g2^2*t^7.58)/g1^22 + 2*g1^19*g2^31*t^7.64 + (g1^10*t^7.67)/g2^14 + (g2^35*t^7.69)/g1 + t^7.72/(g1^10*g2^10) + (3*t^7.76)/(g1^30*g2^6) + g1^31*g2^19*t^7.78 + g1^11*g2^23*t^7.82 + (4*g2^27*t^7.86)/g1^9 + t^7.93/(g1^38*g2^14) + 2*g1^3*g2^15*t^7.99 + (3*g2^19*t^8.03)/g1^17 - (4*g2^7*t^8.16)/g1^5 + (2*g2^11*t^8.2)/g1^25 + g1^36*g2^36*t^8.22 - (5*g1^7*t^8.29)/g2^5 + (g2^44*t^8.31)/g1^4 + (g2^3*t^8.38)/g1^33 - (g1^19*t^8.43)/g2^17 + 3*g1^8*g2^32*t^8.44 + (3*g2^36*t^8.48)/g1^12 + (3*t^8.51)/(g1^21*g2^9) + 3*g1^20*g2^20*t^8.57 + 3*g2^24*t^8.61 + (7*g2^28*t^8.65)/g1^20 + (3*t^8.68)/(g1^29*g2^17) + g1^32*g2^8*t^8.7 - 2*g1^12*g2^12*t^8.74 + (6*g2^16*t^8.78)/g1^8 + (5*g2^20*t^8.82)/g1^28 + (g1^44*t^8.83)/g2^4 + t^8.85/(g1^37*g2^25) + (4*g2^8*t^8.95)/g1^16 - t^4.54/(g1^2*g2^2*y) - (g2^5*t^6.71)/(g1^7*y) - t^6.88/(g1^15*g2^3*y) + (g2^14*t^7.33)/(g1^10*y) + (3*g1^2*g2^2*t^7.46)/y + (2*g2^6*t^7.5)/(g1^18*y) + (2*g1^7*g2^19*t^7.9)/y + (g1^19*g2^7*t^8.04)/y + (g2^11*t^8.08)/(g1*y) + (g1^11*t^8.21)/(g2*y) + (4*g2^3*t^8.25)/(g1^9*y) + (3*g1^3*t^8.38)/(g2^9*y) + (4*t^8.42)/(g1^17*g2^5*y) + t^8.55/(g1^5*g2^17*y) + t^8.59/(g1^25*g2^13*y) + (2*g2^20*t^8.7)/(g1^4*y) + (3*g1^8*g2^8*t^8.83)/y + (2*g2^12*t^8.87)/(g1^12*y) - (t^4.54*y)/(g1^2*g2^2) - (g2^5*t^6.71*y)/g1^7 - (t^6.88*y)/(g1^15*g2^3) + (g2^14*t^7.33*y)/g1^10 + 3*g1^2*g2^2*t^7.46*y + (2*g2^6*t^7.5*y)/g1^18 + 2*g1^7*g2^19*t^7.9*y + g1^19*g2^7*t^8.04*y + (g2^11*t^8.08*y)/g1 + (g1^11*t^8.21*y)/g2 + (4*g2^3*t^8.25*y)/g1^9 + (3*g1^3*t^8.38*y)/g2^9 + (4*t^8.42*y)/(g1^17*g2^5) + (t^8.55*y)/(g1^5*g2^17) + (t^8.59*y)/(g1^25*g2^13) + (2*g2^20*t^8.7*y)/g1^4 + 3*g1^8*g2^8*t^8.83*y + (2*g2^12*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 2919 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.6254 | 0.8172 | 0.7653 | [X:[], M:[0.9459, 1.1624, 1.0541, 0.8376, 0.7293, 0.8376], q:[0.7365, 0.3177], qb:[0.426, 0.4116], phi:[0.5271]] | 2*t^2.19 + t^2.23 + 2*t^2.51 + 2*t^3.16 + t^3.44 + t^3.49 + t^3.77 + t^4.05 + t^4.09 + t^4.14 + 3*t^4.38 + 2*t^4.42 + t^4.46 + 4*t^4.7 + 2*t^4.74 + 3*t^5.03 + 4*t^5.35 + 2*t^5.39 + 2*t^5.63 + 5*t^5.68 + 3*t^5.96 - t^6. - t^4.58/y - t^4.58*y | detail | |
| 2918 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.6264 | 0.8129 | 0.7706 | [X:[], M:[0.9842, 1.0474, 1.0158, 0.9526, 0.7618, 0.7934], q:[0.7461, 0.2697], qb:[0.4605, 0.4921], phi:[0.5079]] | t^2.19 + 2*t^2.29 + t^2.38 + t^2.86 + 2*t^3.05 + t^3.14 + t^3.71 + t^3.81 + t^4.29 + 2*t^4.38 + 3*t^4.48 + 4*t^4.57 + 2*t^4.67 + t^4.76 + t^5.05 + 2*t^5.14 + 3*t^5.24 + 4*t^5.33 + 3*t^5.43 + t^5.52 + t^5.72 + t^5.91 - t^4.52/y - t^4.52*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 |
|---|---|---|---|---|---|---|---|---|---|
| 541 | 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6135 | 0.7921 | 0.7745 | [X:[], M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | 2*t^2.2 + t^2.25 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.53 + t^3.59 + t^3.75 + t^4.18 + t^4.23 + t^4.28 + 3*t^4.39 + 2*t^4.45 + t^4.5 + 2*t^4.87 + t^4.92 + 4*t^5.3 + t^5.35 + 2*t^5.36 + t^5.52 + 2*t^5.73 + 4*t^5.78 + t^5.84 + t^5.95 - 2*t^6. - t^4.55/y - t^4.55*y | detail |