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 |
|---|---|---|---|---|---|---|---|---|---|
| 1824 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ | 0.6574 | 0.8268 | 0.7952 | [X:[], M:[0.7351, 0.7916, 0.6718, 0.8549, 1.1451], q:[0.8691, 0.3958], qb:[0.4591, 0.7492], phi:[0.3817]] | [X:[], M:[[2, 10], [-6, -6], [-7, 7], [3, -3], [-3, 3]], q:[[1, -7], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ M_3\phi_1q_2^2$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_2M_5$, $ \phi_1^3q_2^2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.02 + t^2.21 + t^2.29 + t^2.37 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.9 + t^4.03 + t^4.22 + t^4.31 + t^4.39 + t^4.41 + t^4.5 + 3*t^4.58 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.13 + t^5.45 + t^5.54 + t^5.64 + 2*t^5.73 + t^5.81 + t^5.89 + t^5.92 - t^6. + t^6.05 + t^6.08 + t^6.11 + t^6.24 + t^6.27 + t^6.32 + t^6.41 + t^6.43 + t^6.46 + t^6.51 + 3*t^6.6 + t^6.62 + t^6.68 + t^6.7 + t^6.77 + 3*t^6.79 + 4*t^6.87 + 3*t^6.96 + t^6.98 + 2*t^7.04 + t^7.06 + t^7.12 + 2*t^7.15 + t^7.23 + t^7.31 + t^7.47 + t^7.55 + t^7.66 + 2*t^7.74 + t^7.8 + t^7.83 + t^7.85 + t^7.91 + 2*t^7.93 + t^8.06 + 2*t^8.1 + t^8.12 + t^8.18 - 2*t^8.21 + t^8.25 + t^8.27 + t^8.31 + t^8.34 - 2*t^8.37 + t^8.42 + t^8.44 + t^8.46 + t^8.53 - 3*t^8.56 + 3*t^8.61 + t^8.63 + t^8.67 + t^8.7 + t^8.72 + t^8.78 + 3*t^8.8 + t^8.82 + 4*t^8.89 + t^8.91 + 3*t^8.97 + 3*t^8.99 - t^4.15/y - t^6.16/y - t^6.35/y - t^6.44/y - t^6.52/y + t^7.22/y + t^7.31/y + t^7.39/y + t^7.5/y + (2*t^7.58)/y + t^7.67/y + (2*t^7.77)/y + (2*t^7.85)/y + (2*t^7.94)/y + t^8.13/y - t^8.18/y - t^8.37/y - t^8.56/y + t^8.73/y + t^8.81/y + (2*t^8.92)/y - t^4.15*y - t^6.16*y - t^6.35*y - t^6.44*y - t^6.52*y + t^7.22*y + t^7.31*y + t^7.39*y + t^7.5*y + 2*t^7.58*y + t^7.67*y + 2*t^7.77*y + 2*t^7.85*y + 2*t^7.94*y + t^8.13*y - t^8.18*y - t^8.37*y - t^8.56*y + t^8.73*y + t^8.81*y + 2*t^8.92*y | (g2^7*t^2.02)/g1^7 + g1^2*g2^10*t^2.21 + (g2^2*t^2.29)/g1^2 + t^2.37/(g1^6*g2^6) + (g1^3*t^2.56)/g2^3 + (g2^3*t^3.44)/g1^3 + t^3.52/(g1^7*g2^5) + (g1^2*t^3.71)/g2^2 + g1^11*g2*t^3.9 + (g2^14*t^4.03)/g1^14 + (g2^17*t^4.22)/g1^5 + (g2^9*t^4.31)/g1^9 + (g2*t^4.39)/g1^13 + g1^4*g2^20*t^4.41 + g2^12*t^4.5 + (3*g2^4*t^4.58)/g1^4 + t^4.67/(g1^8*g2^4) + t^4.75/(g1^12*g2^12) + g1^5*g2^7*t^4.77 + (2*g1*t^4.85)/g2 + t^4.94/(g1^3*g2^9) + (g1^6*t^5.13)/g2^6 + (g2^10*t^5.45)/g1^10 + (g2^2*t^5.54)/g1^14 + (g2^13*t^5.64)/g1 + (2*g2^5*t^5.73)/g1^5 + t^5.81/(g1^9*g2^3) + t^5.89/(g1^13*g2^11) + g1^4*g2^8*t^5.92 - t^6. + (g2^21*t^6.05)/g1^21 + t^6.08/(g1^4*g2^8) + g1^13*g2^11*t^6.11 + (g2^24*t^6.24)/g1^12 + (g1^5*t^6.27)/g2^5 + (g2^16*t^6.32)/g1^16 + (g2^8*t^6.41)/g1^20 + (g2^27*t^6.43)/g1^3 + (g1^14*t^6.46)/g2^2 + (g2^19*t^6.51)/g1^7 + (3*g2^11*t^6.6)/g1^11 + g1^6*g2^30*t^6.62 + (g2^3*t^6.68)/g1^15 + g1^2*g2^22*t^6.7 + t^6.77/(g1^19*g2^5) + (3*g2^14*t^6.79)/g1^2 + (4*g2^6*t^6.87)/g1^6 + (3*t^6.96)/(g1^10*g2^2) + g1^7*g2^17*t^6.98 + (2*t^7.04)/(g1^14*g2^10) + g1^3*g2^9*t^7.06 + t^7.12/(g1^18*g2^18) + (2*g2*t^7.15)/g1 + t^7.23/(g1^5*g2^7) + t^7.31/(g1^9*g2^15) + (g2^17*t^7.47)/g1^17 + (g2^9*t^7.55)/g1^21 + (g2^20*t^7.66)/g1^8 + (2*g2^12*t^7.74)/g1^12 + g1^22*g2^2*t^7.8 + (g2^4*t^7.83)/g1^16 + g1*g2^23*t^7.85 + t^7.91/(g1^20*g2^4) + (2*g2^15*t^7.93)/g1^3 + (g2^28*t^8.06)/g1^28 + (2*t^8.1)/(g1^11*g2) + g1^6*g2^18*t^8.12 + t^8.18/(g1^15*g2^9) - 2*g1^2*g2^10*t^8.21 + (g2^31*t^8.25)/g1^19 + t^8.27/(g1^19*g2^17) + g1^15*g2^21*t^8.31 + (g2^23*t^8.34)/g1^23 - (2*t^8.37)/(g1^6*g2^6) + (g2^15*t^8.42)/g1^27 + (g2^34*t^8.44)/g1^10 + t^8.46/(g1^10*g2^14) + (g2^26*t^8.53)/g1^14 - (3*g1^3*t^8.56)/g2^3 + (3*g2^18*t^8.61)/g1^18 + (g2^37*t^8.63)/g1 + g1^16*g2^8*t^8.67 + (g2^10*t^8.7)/g1^22 + (g2^29*t^8.72)/g1^5 + (g2^2*t^8.78)/g1^26 + (3*g2^21*t^8.8)/g1^9 + g1^8*g2^40*t^8.82 + (4*g2^13*t^8.89)/g1^13 + g1^4*g2^32*t^8.91 + (3*g2^5*t^8.97)/g1^17 + 3*g2^24*t^8.99 - (g2*t^4.15)/(g1*y) - (g2^8*t^6.16)/(g1^8*y) - (g1*g2^11*t^6.35)/y - (g2^3*t^6.44)/(g1^3*y) - t^6.52/(g1^7*g2^5*y) + (g2^17*t^7.22)/(g1^5*y) + (g2^9*t^7.31)/(g1^9*y) + (g2*t^7.39)/(g1^13*y) + (g2^12*t^7.5)/y + (2*g2^4*t^7.58)/(g1^4*y) + t^7.67/(g1^8*g2^4*y) + (2*g1^5*g2^7*t^7.77)/y + (2*g1*t^7.85)/(g2*y) + (2*t^7.94)/(g1^3*g2^9*y) + (g1^6*t^8.13)/(g2^6*y) - (g2^15*t^8.18)/(g1^15*y) - (g2^18*t^8.37)/(g1^6*y) - (g1^3*g2^21*t^8.56)/y + (g2^5*t^8.73)/(g1^5*y) + t^8.81/(g1^9*g2^3*y) + (2*g1^4*g2^8*t^8.92)/y - (g2*t^4.15*y)/g1 - (g2^8*t^6.16*y)/g1^8 - g1*g2^11*t^6.35*y - (g2^3*t^6.44*y)/g1^3 - (t^6.52*y)/(g1^7*g2^5) + (g2^17*t^7.22*y)/g1^5 + (g2^9*t^7.31*y)/g1^9 + (g2*t^7.39*y)/g1^13 + g2^12*t^7.5*y + (2*g2^4*t^7.58*y)/g1^4 + (t^7.67*y)/(g1^8*g2^4) + 2*g1^5*g2^7*t^7.77*y + (2*g1*t^7.85*y)/g2 + (2*t^7.94*y)/(g1^3*g2^9) + (g1^6*t^8.13*y)/g2^6 - (g2^15*t^8.18*y)/g1^15 - (g2^18*t^8.37*y)/g1^6 - g1^3*g2^21*t^8.56*y + (g2^5*t^8.73*y)/g1^5 + (t^8.81*y)/(g1^9*g2^3) + 2*g1^4*g2^8*t^8.92*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2840 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6544 | 0.8219 | 0.7962 | [X:[], M:[0.7069, 0.8399, 0.7069, 0.8399, 1.1601], q:[0.8732, 0.42], qb:[0.42, 0.7401], phi:[0.3867]] | 2*t^2.12 + t^2.32 + 2*t^2.52 + t^3.48 + 3*t^3.68 + 3*t^4.24 + 2*t^4.44 + 5*t^4.64 + 3*t^4.84 + 3*t^5.04 + 2*t^5.6 + 5*t^5.8 - t^4.16/y - t^4.16*y | detail | |
| 2841 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.6571 | 0.8263 | 0.7953 | [X:[], M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]] | t^2.03 + t^2.16 + t^2.29 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + t^3.71 + t^3.84 + t^4.05 + t^4.19 + 2*t^4.32 + 2*t^4.45 + 3*t^4.59 + 2*t^4.72 + 3*t^4.85 + t^4.99 + t^5.12 + t^5.47 + 2*t^5.6 + 2*t^5.73 + 2*t^5.87 + t^6. - t^4.15/y - t^4.15*y | detail | |
| 2842 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ | 0.6706 | 0.8484 | 0.7904 | [X:[], M:[0.7464, 0.7935, 0.6948, 0.8451, 1.1549, 0.8451], q:[0.8569, 0.3967], qb:[0.4484, 0.7582], phi:[0.385]] | t^2.08 + t^2.24 + t^2.31 + t^2.38 + 2*t^2.54 + t^3.54 + t^3.69 + t^3.85 + t^4.17 + t^4.32 + t^4.39 + t^4.46 + t^4.48 + t^4.55 + 4*t^4.62 + t^4.69 + t^4.76 + 2*t^4.77 + 3*t^4.85 + 2*t^4.92 + 3*t^5.07 + t^5.62 + t^5.77 + t^5.92 + t^5.93 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 2843 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ | 0.6572 | 0.8255 | 0.7962 | [X:[1.3361], M:[0.7369, 0.7854, 0.6639, 0.8583, 1.1417, 0.6882], q:[0.8704, 0.3927], qb:[0.4656, 0.749], phi:[0.3806]] | t^2.06 + t^2.21 + t^2.28 + t^2.36 + t^2.57 + t^3.43 + t^3.5 + t^3.72 + t^4.01 + t^4.13 + t^4.28 + t^4.35 + 2*t^4.42 + t^4.49 + 2*t^4.57 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.93 + t^5.15 + t^5.49 + t^5.56 + t^5.64 + t^5.71 + 2*t^5.78 + t^5.85 - t^6. - t^4.14/y - t^4.14*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |