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 |
|---|---|---|---|---|---|---|---|---|---|
| 57307 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4518 | 1.6306 | 0.8903 | [X:[1.3795], M:[0.9159, 0.9457], q:[0.5105, 0.5119], qb:[0.5736, 0.5425], phi:[0.3103]] | [X:[[0, 0, 4]], M:[[1, 2, -12], [-1, -2, 0]], q:[[-1, -1, 11], [1, 0, 0]], qb:[[0, -1, 1], [0, 2, 0]], phi:[[0, 0, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.748 + t^2.792 + t^2.837 + t^3.159 + t^3.256 + t^4.09 + t^4.094 + t^4.138 + t^4.183 + t^4.187 + t^5.02 + t^5.025 + t^5.114 + t^5.118 + t^5.495 + t^5.529 + t^5.533 + t^5.54 + 2*t^5.585 + t^5.629 + t^5.674 + t^5.906 + t^5.951 - 3*t^6. + t^6.049 + t^6.317 + t^6.415 + t^6.46 + t^6.464 + t^6.513 + t^6.837 + t^6.841 + t^6.882 + 2*t^6.886 + t^6.931 + 2*t^6.975 + t^6.98 + t^7.02 + t^7.248 + t^7.252 + t^7.297 + t^7.342 + t^7.346 + t^7.35 + t^7.386 + t^7.391 + 2*t^7.395 + t^7.399 + t^7.444 + t^7.674 + t^7.768 + t^7.772 + t^7.862 + t^7.906 + t^7.91 + t^7.951 + t^7.955 + 2*t^8.179 + 2*t^8.183 + t^8.187 + t^8.243 + t^8.273 + 3*t^8.277 + 2*t^8.281 + t^8.288 + t^8.321 + t^8.326 + 2*t^8.332 + t^8.366 + t^8.37 + t^8.375 + 2*t^8.377 + 2*t^8.422 + t^8.466 + t^8.511 - t^8.65 + t^8.688 + t^8.692 + t^8.699 - 4*t^8.748 + t^8.786 + t^8.79 - 2*t^8.792 - 3*t^8.837 + t^8.792/y^2 - t^3.931/y - t^4.862/y - t^6.679/y - t^6.723/y - t^6.768/y - t^7.09/y - t^7.187/y - t^7.609/y - t^7.654/y - t^7.699/y - t^8.02/y - t^8.118/y + t^8.54/y + t^8.585/y + t^8.629/y + t^8.906/y - t^8.955/y + t^8.996/y - t^3.931*y - t^4.862*y - t^6.679*y - t^6.723*y - t^6.768*y - t^7.09*y - t^7.187*y - t^7.609*y - t^7.654*y - t^7.699*y - t^8.02*y - t^8.118*y + t^8.54*y + t^8.585*y + t^8.629*y + t^8.906*y - t^8.955*y + t^8.996*y + t^8.792*y^2 | (g1*g2^2*t^2.748)/g3^12 + t^2.792/g3^6 + t^2.837/(g1*g2^2) + (g2*g3^11*t^3.159)/g1 + (g1*g3*t^3.256)/g2 + (g2*g3^9*t^4.09)/g1 + (g1*g2^2*t^4.094)/g3^2 + g3^4*t^4.138 + (g3^10*t^4.183)/(g1*g2^2) + (g1*t^4.187)/(g2*g3) + (g2*g3^7*t^5.02)/g1 + (g1*g2^2*t^5.025)/g3^4 + (g3^8*t^5.114)/(g1*g2^2) + (g1*t^5.118)/(g2*g3^3) + (g1^2*g2^4*t^5.495)/g3^24 + (g3^20*t^5.529)/(g1*g2^2) + (g1*g3^9*t^5.533)/g2 + (g1*g2^2*t^5.54)/g3^18 + (2*t^5.585)/g3^12 + t^5.629/(g1*g2^2*g3^6) + t^5.674/(g1^2*g2^4) + (g2^3*t^5.906)/g3 + (g2*g3^5*t^5.951)/g1 - 3*t^6. + (g1*t^6.049)/(g2*g3^5) + (g2^2*g3^22*t^6.317)/g1^2 + g3^12*t^6.415 + (g3^18*t^6.46)/(g1*g2^2) + (g1*g3^7*t^6.464)/g2 + (g1^2*g3^2*t^6.513)/g2^2 + (g2^3*t^6.837)/g3^3 + (g1^2*g2^4*t^6.841)/g3^14 + (g2*g3^3*t^6.882)/g1 + (2*g1*g2^2*t^6.886)/g3^8 + t^6.931/g3^2 + (2*g3^4*t^6.975)/(g1*g2^2) + (g1*t^6.98)/(g2*g3^7) + (g3^10*t^7.02)/(g1^2*g2^4) + (g2^2*g3^20*t^7.248)/g1^2 + g2^3*g3^9*t^7.252 + (g2*g3^15*t^7.297)/g1 + (g3^21*t^7.342)/(g1^2*g2) + g3^10*t^7.346 + (g1^2*g2*t^7.35)/g3 + (g3^27*t^7.386)/(g1^3*g2^3) + (g3^16*t^7.391)/(g1*g2^2) + (2*g1*g3^5*t^7.395)/g2 + (g1^3*t^7.399)/g3^6 + (g1^2*t^7.444)/g2^2 + (g2^6*t^7.674)/g3^6 + (g2^3*t^7.768)/g3^5 + (g1^2*g2^4*t^7.772)/g3^16 + t^7.862/g3^4 + (g3^2*t^7.906)/(g1*g2^2) + (g1*t^7.91)/(g2*g3^9) + (g3^8*t^7.951)/(g1^2*g2^4) + t^7.955/(g2^3*g3^3) + (2*g2^2*g3^18*t^8.179)/g1^2 + 2*g2^3*g3^7*t^8.183 + (g1^2*g2^4*t^8.187)/g3^4 + (g1^3*g2^6*t^8.243)/g3^36 + (g3^19*t^8.273)/(g1^2*g2) + 3*g3^8*t^8.277 + (2*g1^2*g2*t^8.281)/g3^3 + (g1^2*g2^4*t^8.288)/g3^30 + (g3^14*t^8.321)/(g1*g2^2) + (g1*g3^3*t^8.326)/g2 + (2*g1*g2^2*t^8.332)/g3^24 + (g3^20*t^8.366)/(g1^2*g2^4) + (g3^9*t^8.37)/g2^3 + (g1^2*t^8.375)/(g2^2*g3^2) + (2*t^8.377)/g3^18 + (2*t^8.422)/(g1*g2^2*g3^12) + t^8.466/(g1^2*g2^4*g3^6) + t^8.511/(g1^3*g2^6) - (g2^4*t^8.65)/(g1*g3^2) + (g3^31*t^8.688)/(g1^2*g2) + g3^20*t^8.692 + (g2^3*t^8.699)/g3^7 - (4*g1*g2^2*t^8.748)/g3^12 + (g3^21*t^8.786)/g2^3 + (g1^2*g3^10*t^8.79)/g2^2 - (2*t^8.792)/g3^6 - (3*t^8.837)/(g1*g2^2) + t^8.792/(g3^6*y^2) - t^3.931/(g3^2*y) - t^4.862/(g3^4*y) - (g1*g2^2*t^6.679)/(g3^14*y) - t^6.723/(g3^8*y) - t^6.768/(g1*g2^2*g3^2*y) - (g2*g3^9*t^7.09)/(g1*y) - (g1*t^7.187)/(g2*g3*y) - (g1*g2^2*t^7.609)/(g3^16*y) - t^7.654/(g3^10*y) - t^7.699/(g1*g2^2*g3^4*y) - (g2*g3^7*t^8.02)/(g1*y) - (g1*t^8.118)/(g2*g3^3*y) + (g1*g2^2*t^8.54)/(g3^18*y) + t^8.585/(g3^12*y) + t^8.629/(g1*g2^2*g3^6*y) + (g2^3*t^8.906)/(g3*y) - (g1*g2^2*t^8.955)/(g3^6*y) + (g3^11*t^8.996)/(g1^2*g2*y) - (t^3.931*y)/g3^2 - (t^4.862*y)/g3^4 - (g1*g2^2*t^6.679*y)/g3^14 - (t^6.723*y)/g3^8 - (t^6.768*y)/(g1*g2^2*g3^2) - (g2*g3^9*t^7.09*y)/g1 - (g1*t^7.187*y)/(g2*g3) - (g1*g2^2*t^7.609*y)/g3^16 - (t^7.654*y)/g3^10 - (t^7.699*y)/(g1*g2^2*g3^4) - (g2*g3^7*t^8.02*y)/g1 - (g1*t^8.118*y)/(g2*g3^3) + (g1*g2^2*t^8.54*y)/g3^18 + (t^8.585*y)/g3^12 + (t^8.629*y)/(g1*g2^2*g3^6) + (g2^3*t^8.906*y)/g3 - (g1*g2^2*t^8.955*y)/g3^6 + (g3^11*t^8.996*y)/(g1^2*g2) + (t^8.792*y^2)/g3^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57976 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4401 | 1.626 | 0.8856 | [X:[1.3416], M:[1.0124, 0.9629], q:[0.4286, 0.4843], qb:[0.559, 0.5528], phi:[0.3292]] | t^2.89 + t^2.94 + t^2.96 + t^3.04 + t^3.13 + t^3.93 + t^3.95 + t^4.02 + t^4.1 + t^4.12 + t^4.92 + t^4.94 + t^5.01 + t^5.09 + t^5.11 + t^5.18 + t^5.78 + t^5.85 + t^5.89 + t^5.91 + 2*t^5.93 + t^5.98 - t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 57977 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4464 | 1.6305 | 0.8871 | [X:[1.3517], M:[0.9172, 1.0276], q:[0.4977, 0.4667], qb:[0.5851, 0.5057], phi:[0.3241]] | t^2.75 + t^2.92 + t^3.01 + t^3.08 + t^3.16 + t^3.89 + t^3.98 + t^4.06 + t^4.13 + t^4.22 + t^4.86 + t^4.95 + t^5.1 + t^5.19 + t^5.27 + t^5.36 + t^5.5 + t^5.67 + t^5.76 + 2*t^5.83 + t^5.93 - 2*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail | |
| 57980 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4463 | 1.6245 | 0.8903 | [X:[1.3664], M:[0.9309, 0.97, 1.0496], q:[0.4946, 0.4958], qb:[0.5745, 0.5342], phi:[0.3168]] | t^2.79 + t^2.91 + t^3.09 + t^3.15 + t^3.21 + 2*t^4.04 + t^4.1 + 2*t^4.16 + 2*t^4.99 + 2*t^5.11 + 2*t^5.41 + t^5.59 + t^5.7 + t^5.82 + t^5.88 + t^5.94 - 3*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*y | detail | |
| 57981 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1.4595 | 1.6426 | 0.8885 | [X:[1.3944], M:[0.8966, 0.9203, 0.8873], q:[0.5408, 0.5078], qb:[0.5626, 0.5719], phi:[0.3028]] | t^2.66 + t^2.69 + t^2.73 + t^2.76 + t^3.21 + t^4.12 + t^4.15 + t^4.18 + t^4.22 + t^4.25 + t^5.03 + t^5.06 + t^5.13 + t^5.15 + t^5.32 + t^5.35 + t^5.38 + t^5.39 + 2*t^5.42 + 2*t^5.45 + t^5.49 + t^5.52 + t^5.58 + t^5.68 + t^5.87 + t^5.94 - 3*t^6. - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*y | detail | |
| 57982 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.4615 | 1.6465 | 0.8876 | [X:[1.3886], M:[0.9074, 0.9267, 0.8728], q:[0.5099, 0.5444], qb:[0.5827, 0.5289], phi:[0.3057]] | t^2.62 + t^2.72 + t^2.75 + t^2.78 + t^3.12 + t^4.03 + t^4.14 + t^4.17 + t^4.19 + t^4.3 + t^4.95 + t^5.05 + t^5.11 + t^5.22 + t^5.24 + t^5.34 + t^5.37 + t^5.4 + t^5.44 + t^5.47 + 2*t^5.5 + t^5.53 + t^5.56 + t^5.61 + t^5.71 + t^5.73 + t^5.84 + t^5.87 - 3*t^6. - t^3.92/y - t^4.83/y - t^3.92*y - t^4.83*y | detail | |
| 57974 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.443 | 1.6153 | 0.8933 | [X:[1.4142], M:[0.8787, 0.8787], q:[0.5356, 0.5858], qb:[0.5858, 0.5356], phi:[0.2929]] | 3*t^2.64 + t^3.21 + t^3.51 + t^4.09 + 3*t^4.24 + t^4.39 + t^4.97 + 2*t^5.12 + 7*t^5.27 + 3*t^5.85 - 2*t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*y | detail | |
| 57975 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4425 | 1.6145 | 0.8935 | [X:[1.4159], M:[0.8318, 0.9206], q:[0.5841, 0.5397], qb:[0.5841, 0.5397], phi:[0.2921]] | t^2.5 + t^2.63 + t^2.76 + 2*t^3.37 + t^4.11 + 3*t^4.25 + t^4.38 + 2*t^4.99 + 3*t^5.12 + 3*t^5.26 + t^5.39 + t^5.52 + 2*t^5.87 - t^3.88/y - t^4.75/y - t^3.88*y - t^4.75*y | detail | |
| 57978 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4511 | 1.6295 | 0.8906 | [X:[1.3822], M:[0.9266, 0.9266], q:[0.5096, 0.5096], qb:[0.5637, 0.5637], phi:[0.3089]] | 3*t^2.78 + 2*t^3.22 + 5*t^4.15 + 4*t^5.07 + 2*t^5.51 + 6*t^5.56 - t^3.93/y - t^4.85/y - t^3.93*y - t^4.85*y | detail | |
| 57973 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3453 | 1.5181 | 0.8861 | [X:[1.4115], M:[0.9173, 0.8483], q:[0.4276, 0.7563], qb:[0.6552, 0.3954], phi:[0.2943]] | t^2.47 + t^2.54 + t^2.65 + t^2.75 + t^3.35 + t^4.13 + 3*t^4.23 + t^4.34 + t^4.94 + t^5.01 + t^5.09 + 2*t^5.12 + t^5.19 + 2*t^5.22 + 2*t^5.3 + t^5.4 + t^5.5 + t^5.72 + t^5.82 - t^6. - t^3.88/y - t^4.77/y - t^3.88*y - t^4.77*y | detail | |
| 57979 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.4515 | 1.63 | 0.8904 | [X:[1.3809], M:[0.9134, 0.944], q:[0.518, 0.5027], qb:[0.5686, 0.5533], phi:[0.3096]] | t^2.74 + t^2.79 + t^2.83 + 2*t^3.21 + t^4.1 + 3*t^4.14 + t^4.19 + t^5.03 + 2*t^5.07 + t^5.12 + t^5.48 + t^5.5 + t^5.53 + t^5.55 + 2*t^5.57 + t^5.62 + t^5.66 + t^5.95 - t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47885 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4561 | 1.6383 | 0.8888 | [X:[1.3617], M:[0.9574, 0.9574], q:[0.5213, 0.5213], qb:[0.5213, 0.5213], phi:[0.3191]] | 3*t^2.872 + 2*t^3.128 + 5*t^4.085 + 4*t^5.043 + 4*t^5.649 + 6*t^5.744 - 2*t^6. - t^3.957/y - t^4.915/y - t^3.957*y - t^4.915*y | detail |