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 |
|---|---|---|---|---|---|---|---|---|---|
| 4852 | 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6918 | 0.8766 | 0.7892 | [X:[], M:[1.0397, 0.7938, 1.0012, 0.8323, 1.1677, 1.0833, 0.7479, 0.9988, 0.6708], q:[0.5634, 0.3969], qb:[0.4354, 0.7708], phi:[0.4584]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [2, 6], [1, 15], [-4, 4]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_9$, $ M_7$, $ M_2$, $ M_4$, $ M_8$, $ M_1$, $ M_6$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_9^2$, $ M_7M_9$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_9$, $ M_7^2$, $ M_4M_9$, $ M_2M_7$, $ M_4M_7$, $ M_2^2$, $ \phi_1q_1^2$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8M_9$, $ M_1M_9$, $ M_7M_8$, $ M_6M_9$, $ M_1M_7$, $ M_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_6M_7$, $ M_4M_8$, $ M_5M_9$, $ M_2M_6$, $ M_4M_6$, $ M_5M_7$, $ M_2M_5$, $ M_9\phi_1q_2\tilde{q}_1$, $ M_8^2$ | . | -2 | t^2.01 + t^2.24 + t^2.38 + t^2.5 + t^3. + t^3.12 + t^3.25 + t^3.5 + t^3.87 + t^4. + t^4.02 + 2*t^4.26 + t^4.37 + t^4.39 + t^4.49 + t^4.51 + t^4.62 + t^4.74 + 2*t^4.76 + t^4.88 + t^4.99 + t^5.01 + t^5.13 + t^5.24 + t^5.26 + t^5.36 + t^5.38 + 2*t^5.49 + t^5.52 + t^5.63 + 2*t^5.75 + t^5.88 + t^5.99 - 2*t^6. + t^6.01 + t^6.04 + t^6.12 + t^6.24 + 2*t^6.25 + 2*t^6.27 + t^6.37 + t^6.38 + t^6.41 + 3*t^6.5 + t^6.52 + t^6.62 + 2*t^6.64 + t^6.73 + 2*t^6.75 + 2*t^6.77 + 2*t^6.87 - t^6.88 + t^6.89 + t^6.98 + 2*t^7. + t^7.01 + t^7.02 + t^7.12 + 3*t^7.14 + 3*t^7.25 + t^7.27 + t^7.37 + t^7.38 + t^7.39 + t^7.48 + 3*t^7.51 + t^7.53 + t^7.61 + t^7.62 + t^7.64 + 2*t^7.74 + t^7.75 + 2*t^7.76 + 2*t^7.87 + t^7.9 + 2*t^7.99 - t^8. + t^8.01 + t^8.03 + t^8.05 + t^8.13 - t^8.24 + t^8.25 + 3*t^8.26 + 2*t^8.28 + t^8.36 + t^8.37 - 2*t^8.38 + t^8.4 + t^8.42 + t^8.48 + 3*t^8.49 - 3*t^8.5 + 3*t^8.51 + t^8.53 + t^8.62 + 2*t^8.63 + 2*t^8.65 + 4*t^8.74 - t^8.75 + t^8.76 + 2*t^8.77 + t^8.78 + t^8.79 + t^8.86 + 2*t^8.88 - t^8.89 + t^8.9 + t^8.97 + t^8.99 - t^4.38/y - t^6.39/y - t^6.62/y - t^6.76/y + (2*t^7.26)/y + t^7.39/y - t^7.49/y + t^7.51/y + t^7.62/y + t^7.74/y + t^7.88/y + t^7.99/y + t^8.01/y + (2*t^8.13)/y + t^8.24/y + t^8.26/y + (2*t^8.36)/y + t^8.38/y - t^8.4/y + (2*t^8.49)/y + t^8.5/y + t^8.52/y + t^8.62/y + (2*t^8.75)/y - t^8.77/y - t^8.86/y + (2*t^8.88)/y - t^4.38*y - t^6.39*y - t^6.62*y - t^6.76*y + 2*t^7.26*y + t^7.39*y - t^7.49*y + t^7.51*y + t^7.62*y + t^7.74*y + t^7.88*y + t^7.99*y + t^8.01*y + 2*t^8.13*y + t^8.24*y + t^8.26*y + 2*t^8.36*y + t^8.38*y - t^8.4*y + 2*t^8.49*y + t^8.5*y + t^8.52*y + t^8.62*y + 2*t^8.75*y - t^8.77*y - t^8.86*y + 2*t^8.88*y | (g2^4*t^2.01)/g1^4 + g1^2*g2^6*t^2.24 + t^2.38/(g1^2*g2^2) + (g1*t^2.5)/g2 + g1*g2^15*t^3. + (g1^2*t^3.12)/g2^14 + g2^8*t^3.25 + (g2*t^3.5)/g1 + (g1*t^3.87)/g2^5 + (g2^17*t^4.)/g1 + (g2^8*t^4.02)/g1^8 + (2*g2^10*t^4.26)/g1^2 + g1*g2^11*t^4.37 + (g2^2*t^4.39)/g1^6 + g1^4*g2^12*t^4.49 + (g2^3*t^4.51)/g1^3 + g2^4*t^4.62 + g1^3*g2^5*t^4.74 + t^4.76/(g1^4*g2^4) + (g2^26*t^4.76)/g1^2 + t^4.88/(g1*g2^3) + (g1^2*t^4.99)/g2^2 + (g2^19*t^5.01)/g1^3 + t^5.13/(g1^2*g2^10) + g1^3*g2^21*t^5.24 + (g2^12*t^5.26)/g1^4 + (g1^4*t^5.36)/g2^8 + (g2^13*t^5.38)/g1 + 2*g1^2*g2^14*t^5.49 + (g2^5*t^5.52)/g1^5 + (g2^6*t^5.63)/g1^2 + 2*g1*g2^7*t^5.75 + t^5.88/(g1^3*g2) + g1^2*g2^30*t^5.99 - 2*t^6. + (g2^21*t^6.01)/g1^5 + (g2^12*t^6.04)/g1^12 + g1^3*g2*t^6.12 + (g1^4*t^6.24)/g2^28 + 2*g1*g2^23*t^6.25 + (2*g2^14*t^6.27)/g1^6 + (g1^2*t^6.37)/g2^6 + (g2^15*t^6.38)/g1^3 + (g2^6*t^6.41)/g1^10 + 3*g2^16*t^6.5 + (g2^7*t^6.52)/g1^7 + g1^3*g2^17*t^6.62 + (2*g2^8*t^6.64)/g1^4 + g1^6*g2^18*t^6.73 + (2*g2^9*t^6.75)/g1 + t^6.77/g1^8 + (g2^30*t^6.77)/g1^6 + 2*g1^2*g2^10*t^6.87 - t^6.88/g2^20 + (g2*t^6.89)/g1^5 + g1^5*g2^11*t^6.98 + 2*g2^32*t^7. + (g2^2*t^7.01)/g1^2 + (g2^23*t^7.02)/g1^7 + g1*g2^3*t^7.12 + (2*t^7.14)/(g1^6*g2^6) + (g2^24*t^7.14)/g1^4 + (3*g2^25*t^7.25)/g1 + (g2^16*t^7.27)/g1^8 + g1^2*g2^26*t^7.37 + t^7.38/g2^4 + (g2^17*t^7.39)/g1^5 + g1^5*g2^27*t^7.48 + (3*g2^18*t^7.51)/g1^2 + (g2^9*t^7.53)/g1^9 + (g1^6*t^7.61)/g2^2 + g1*g2^19*t^7.62 + (g2^10*t^7.64)/g1^6 + 2*g1^4*g2^20*t^7.74 + (g2^41*t^7.75)/g1 + (2*g2^11*t^7.76)/g1^3 + 2*g2^12*t^7.87 + (g2^3*t^7.9)/g1^7 + 2*g1^3*g2^13*t^7.99 - (g1*t^8.)/g2^17 - (g2^4*t^8.01)/g1^4 + (2*g2^34*t^8.01)/g1^2 + (g2^25*t^8.03)/g1^9 + (g2^16*t^8.05)/g1^16 + (g2^5*t^8.13)/g1 - 2*g1^2*g2^6*t^8.24 + g1^4*g2^36*t^8.24 + t^8.25/g2^24 + (3*g2^27*t^8.26)/g1^3 + (2*g2^18*t^8.28)/g1^10 + g1^5*g2^7*t^8.36 + g2^28*t^8.37 - (2*t^8.38)/(g1^2*g2^2) + (g2^19*t^8.4)/g1^7 + (g2^10*t^8.42)/g1^14 + (g1^6*t^8.48)/g2^22 + 3*g1^3*g2^29*t^8.49 - (3*g1*t^8.5)/g2 + (3*g2^20*t^8.51)/g1^4 + (g2^11*t^8.53)/g1^11 + (g1^2*t^8.62)/g2^30 + (2*g2^21*t^8.63)/g1 + (2*g2^12*t^8.65)/g1^8 + 4*g1^2*g2^22*t^8.74 - t^8.75/g2^8 + (g2^43*t^8.76)/g1^3 + (2*g2^13*t^8.77)/g1^5 + (g2^34*t^8.78)/g1^10 + (g2^4*t^8.79)/g1^12 + g1^5*g2^23*t^8.86 + (2*g2^14*t^8.88)/g1^2 - t^8.89/(g1^4*g2^16) + (g2^5*t^8.9)/g1^9 + g1^8*g2^24*t^8.97 + g1^3*g2^45*t^8.99 - t^4.38/(g2^4*y) - t^6.39/(g1^4*y) - (g1^2*g2^2*t^6.62)/y - t^6.76/(g1^2*g2^6*y) + (2*g2^10*t^7.26)/(g1^2*y) + (g2^2*t^7.39)/(g1^6*y) - (g1^2*t^7.49)/(g2^18*y) + (g2^3*t^7.51)/(g1^3*y) + (g2^4*t^7.62)/y + (g1^3*g2^5*t^7.74)/y + t^7.88/(g1*g2^3*y) + (g1^2*t^7.99)/(g2^2*y) + (g2^19*t^8.01)/(g1^3*y) + (2*t^8.13)/(g1^2*g2^10*y) + (g1^3*g2^21*t^8.24)/y + (g2^12*t^8.26)/(g1^4*y) + (2*g1^4*t^8.36)/(g2^8*y) + (g2^13*t^8.38)/(g1*y) - (g2^4*t^8.4)/(g1^8*y) + (2*g1^2*g2^14*t^8.49)/y + t^8.5/(g2^16*y) + (g2^5*t^8.52)/(g1^5*y) + (g1^3*t^8.62)/(g2^15*y) + (2*g1*g2^7*t^8.75)/y - t^8.77/(g1^6*g2^2*y) - (g1^4*g2^8*t^8.86)/y + (2*t^8.88)/(g1^3*g2*y) - (t^4.38*y)/g2^4 - (t^6.39*y)/g1^4 - g1^2*g2^2*t^6.62*y - (t^6.76*y)/(g1^2*g2^6) + (2*g2^10*t^7.26*y)/g1^2 + (g2^2*t^7.39*y)/g1^6 - (g1^2*t^7.49*y)/g2^18 + (g2^3*t^7.51*y)/g1^3 + g2^4*t^7.62*y + g1^3*g2^5*t^7.74*y + (t^7.88*y)/(g1*g2^3) + (g1^2*t^7.99*y)/g2^2 + (g2^19*t^8.01*y)/g1^3 + (2*t^8.13*y)/(g1^2*g2^10) + g1^3*g2^21*t^8.24*y + (g2^12*t^8.26*y)/g1^4 + (2*g1^4*t^8.36*y)/g2^8 + (g2^13*t^8.38*y)/g1 - (g2^4*t^8.4*y)/g1^8 + 2*g1^2*g2^14*t^8.49*y + (t^8.5*y)/g2^16 + (g2^5*t^8.52*y)/g1^5 + (g1^3*t^8.62*y)/g2^15 + 2*g1*g2^7*t^8.75*y - (t^8.77*y)/(g1^6*g2^2) - g1^4*g2^8*t^8.86*y + (2*t^8.88*y)/(g1^3*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 6503 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_10M_5$ | 0.7063 | 0.9014 | 0.7836 | [X:[], M:[1.0334, 0.7998, 1.0039, 0.8293, 1.1707, 1.0834, 0.7419, 0.9961, 0.6829, 0.8293], q:[0.5667, 0.3999], qb:[0.4294, 0.7709], phi:[0.4583]] | t^2.05 + t^2.23 + t^2.4 + 2*t^2.49 + t^2.99 + t^3.1 + t^3.25 + t^3.86 + t^4.01 + t^4.1 + 2*t^4.27 + t^4.36 + 2*t^4.45 + 2*t^4.54 + t^4.63 + 2*t^4.71 + t^4.78 + t^4.8 + 2*t^4.89 + 3*t^4.98 + t^5.04 + t^5.15 + t^5.21 + t^5.3 + t^5.33 + t^5.39 + 3*t^5.48 + t^5.59 + t^5.65 + 2*t^5.74 + t^5.98 - 3*t^6. - t^4.37/y - t^4.37*y | detail | |
| 6502 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_10M_6$ | 0.7001 | 0.8886 | 0.7878 | [X:[], M:[1.0164, 0.7865, 0.9708, 0.8321, 1.1679, 1.0985, 0.7628, 1.0292, 0.6715, 0.9015], q:[0.5903, 0.3932], qb:[0.4389, 0.7746], phi:[0.4507]] | t^2.01 + t^2.29 + t^2.36 + t^2.5 + t^2.7 + t^3.05 + t^3.09 + t^3.5 + t^3.85 + t^4.03 + t^4.09 + 2*t^4.3 + t^4.37 + t^4.44 + t^4.51 + t^4.58 + t^4.65 + 2*t^4.72 + t^4.78 + t^4.86 + t^4.89 + 2*t^4.99 + 2*t^5.06 + t^5.1 + t^5.2 + t^5.34 + t^5.38 + t^5.41 + t^5.45 + t^5.52 + t^5.58 + t^5.75 + 2*t^5.79 + t^5.86 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 6486 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_2M_9$ + $ M_7X_1$ | 0.5942 | 0.7444 | 0.7983 | [X:[1.4559], M:[0.9117, 0.9823, 1.1485, 0.7456, 1.2544, 1.053, 0.5441, 0.8515, 1.0177], q:[0.5971, 0.4912], qb:[0.2544, 0.7632], phi:[0.4735]] | t^2.24 + t^2.55 + t^2.74 + t^2.95 + t^3.05 + t^3.16 + t^3.66 + t^3.76 + t^3.98 + t^4.08 + t^4.37 + t^4.47 + t^4.69 + t^4.79 + t^5. + t^5.11 + t^5.18 + t^5.29 + t^5.4 + t^5.47 + t^5.5 + t^5.61 + t^5.71 + t^5.79 + 2*t^5.89 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 6498 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_5M_9$ | 0.6803 | 0.8608 | 0.7903 | [X:[], M:[0.9725, 0.8575, 1.03, 0.8, 1.2, 1.085, 0.685, 0.97, 0.8], q:[0.5988, 0.4287], qb:[0.3713, 0.7713], phi:[0.4575]] | t^2.06 + 2*t^2.4 + t^2.57 + t^2.91 + t^2.92 + t^3.26 + t^3.6 + t^3.77 + 2*t^4.11 + t^4.28 + 3*t^4.46 + t^4.63 + 3*t^4.8 + 5*t^4.97 + t^5.14 + 3*t^5.31 + t^5.32 + t^5.48 + 3*t^5.66 + t^5.82 + 3*t^5.83 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 6495 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_8M_9$ | 0.647 | 0.8101 | 0.7986 | [X:[], M:[0.8014, 0.8157, 0.8229, 0.7943, 1.2057, 1.1914, 0.78, 1.1771, 0.8229], q:[0.7907, 0.4079], qb:[0.3864, 0.7979], phi:[0.4043]] | t^2.34 + t^2.38 + t^2.4 + t^2.45 + t^2.47 + t^3.53 + t^3.57 + t^3.6 + t^3.62 + t^4.68 + t^4.72 + 2*t^4.74 + 2*t^4.77 + t^4.79 + 3*t^4.81 + t^4.83 + t^4.85 + t^4.87 + t^4.89 + t^4.92 + t^4.94 + t^5.87 + 2*t^5.91 + t^5.94 + 3*t^5.96 + 2*t^5.98 - t^6. - t^4.21/y - t^4.21*y | detail | |
| 6484 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_9^2$ + $ M_7X_1$ | 0.6027 | 0.7515 | 0.8019 | [X:[1.4215], M:[0.8822, 0.9607, 1.0929, 0.75, 1.25, 1.0785, 0.5785, 0.9071, 1.0], q:[0.6374, 0.4804], qb:[0.2696, 0.7696], phi:[0.4607]] | t^2.25 + t^2.65 + t^2.72 + t^2.88 + t^3. + t^3.24 + t^3.63 + t^3.75 + t^4.1 + t^4.22 + t^4.26 + t^4.5 + t^4.74 + t^4.97 + t^5.13 + t^5.21 + t^5.25 + t^5.29 + t^5.44 + t^5.49 + t^5.6 + t^5.65 + t^5.72 + t^5.76 + 2*t^5.88 + t^5.96 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2676 | 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_8$ | 0.671 | 0.8353 | 0.8033 | [X:[], M:[1.0384, 0.795, 1.0018, 0.8317, 1.1683, 1.0833, 0.7466, 0.9982], q:[0.5641, 0.3975], qb:[0.4341, 0.7708], phi:[0.4584]] | t^2.24 + t^2.39 + t^2.49 + t^2.99 + t^3.12 + t^3.25 + t^3.51 + t^3.87 + t^3.98 + t^4. + t^4.26 + t^4.37 + t^4.48 + t^4.62 + t^4.73 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.23 + t^5.35 + t^5.38 + 2*t^5.49 + t^5.64 + 2*t^5.74 + t^5.99 - 2*t^6. - t^4.38/y - t^4.38*y | detail |