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 |
|---|---|---|---|---|---|---|---|---|---|
| 47917 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4047 | 1.592 | 0.8823 | [X:[1.371], M:[0.7758], q:[0.384, 0.6985], qb:[0.5257, 0.5047], phi:[0.3145]] | [X:[[0, 0, 4]], M:[[-1, 1, -5]], q:[[-1, -1, 7], [-1, -1, 5]], qb:[[2, 0, 0], [0, 2, 0]], phi:[[0, 0, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -4 | t^2.327 + t^2.666 + t^2.729 + t^2.83 + 2*t^3.61 + t^3.673 + t^4.113 + 2*t^4.553 + 2*t^4.616 + t^4.655 + t^4.994 + t^5.158 + t^5.333 + t^5.343 + t^5.396 + t^5.458 + 2*t^5.497 + t^5.549 + 2*t^5.56 + t^5.612 + t^5.661 + t^5.937 - 4*t^6. - t^6.063 + 2*t^6.276 + 3*t^6.287 + 3*t^6.339 + t^6.402 + 3*t^6.44 + t^6.492 + t^6.503 + t^6.555 + t^6.779 + t^6.842 + t^6.881 - 2*t^6.943 + t^6.982 - t^6.996 - t^7.006 + 5*t^7.22 + 2*t^7.23 + 6*t^7.283 + t^7.321 + 3*t^7.345 + t^7.373 + 2*t^7.384 + t^7.436 + 2*t^7.447 + t^7.485 + t^7.499 + t^7.561 + t^7.66 - t^7.671 + t^7.723 - 2*t^7.734 + t^7.824 - 2*t^7.887 - 2*t^7.939 - t^7.95 + t^7.988 + t^7.999 - t^8.002 + t^8.01 + t^8.062 + t^8.073 + t^8.125 + 6*t^8.163 + 2*t^8.174 + t^8.187 + t^8.215 + 9*t^8.226 + t^8.265 + 2*t^8.278 + 4*t^8.289 - t^8.327 + t^8.341 + t^8.379 + 2*t^8.39 + t^8.442 + t^8.491 + t^8.604 - 5*t^8.666 - 3*t^8.677 - 6*t^8.729 + 2*t^8.768 - t^8.792 - t^8.82 - 4*t^8.83 - 3*t^8.883 - t^8.893 + 2*t^8.943 - 2*t^8.945 + 5*t^8.953 + t^8.83/y^2 - t^3.943/y - t^4.887/y - t^6.271/y - t^6.61/y - t^6.673/y - t^6.774/y - t^7.214/y - (2*t^7.553)/y - t^7.616/y - t^7.717/y + t^7.994/y + t^8.057/y + t^8.158/y + t^8.396/y - t^8.497/y - t^8.598/y + t^8.937/y - t^3.943*y - t^4.887*y - t^6.271*y - t^6.61*y - t^6.673*y - t^6.774*y - t^7.214*y - 2*t^7.553*y - t^7.616*y - t^7.717*y + t^7.994*y + t^8.057*y + t^8.158*y + t^8.396*y - t^8.497*y - t^8.598*y + t^8.937*y + t^8.83*y^2 | (g2*t^2.327)/(g1*g3^5) + (g2*g3^7*t^2.666)/g1 + (g1*g3^7*t^2.729)/g2 + t^2.83/g3^6 + (2*g2*g3^5*t^3.61)/g1 + (g1*g3^5*t^3.673)/g2 + g3^4*t^4.113 + (2*g2*g3^3*t^4.553)/g1 + (2*g1*g3^3*t^4.616)/g2 + (g2^2*t^4.655)/(g1^2*g3^10) + (g2^2*g3^2*t^4.994)/g1^2 + (g2*t^5.158)/(g1*g3^11) + (g2^2*g3^14*t^5.333)/g1^2 + (g3^17*t^5.343)/(g1^3*g2^3) + g3^14*t^5.396 + (g1^2*g3^14*t^5.458)/g2^2 + (2*g2*g3*t^5.497)/g1 + (g1^2*g2^4*t^5.549)/g3^2 + (2*g1*g3*t^5.56)/g2 + (g1^4*g2^2*t^5.612)/g3^2 + t^5.661/g3^12 + (g2^2*t^5.937)/g1^2 - 4*t^6. - (g1^2*t^6.063)/g2^2 + (2*g2^2*g3^12*t^6.276)/g1^2 + (3*g3^15*t^6.287)/(g1^3*g2^3) + 3*g3^12*t^6.339 + (g1^2*g3^12*t^6.402)/g2^2 + (3*g2*t^6.44)/(g1*g3) + (g1^2*g2^4*t^6.492)/g3^4 + (g1*t^6.503)/(g2*g3) + (g1^4*g2^2*t^6.555)/g3^4 + (g2*g3^11*t^6.779)/g1 + (g1*g3^11*t^6.842)/g2 + (g2^2*t^6.881)/(g1^2*g3^2) - (2*t^6.943)/g3^2 + (g2^3*t^6.982)/(g1^3*g3^15) - (g1^3*g2^3*t^6.996)/g3^5 - (g1^2*t^7.006)/(g2^2*g3^2) + (5*g2^2*g3^10*t^7.22)/g1^2 + (2*g3^13*t^7.23)/(g1^3*g2^3) + 6*g3^10*t^7.283 + (g2^3*t^7.321)/(g1^3*g3^3) + (3*g1^2*g3^10*t^7.345)/g2^2 + (g2^6*t^7.373)/g3^6 + (2*g2*t^7.384)/(g1*g3^3) + (g1^2*g2^4*t^7.436)/g3^6 + (2*g1*t^7.447)/(g2*g3^3) + (g2^2*t^7.485)/(g1^2*g3^16) + (g1^4*g2^2*t^7.499)/g3^6 + (g1^6*t^7.561)/g3^6 + (g2^3*g3^9*t^7.66)/g1^3 - (g3^12*t^7.671)/(g1^4*g2^2) + (g2*g3^9*t^7.723)/g1 - (2*g3^12*t^7.734)/(g1^2*g2^4) + (g2^2*t^7.824)/(g1^2*g3^4) - (2*t^7.887)/g3^4 - (2*g1^3*g2^3*t^7.939)/g3^7 - (g1^2*t^7.95)/(g2^2*g3^4) + (g2*t^7.988)/(g1*g3^17) + (g2^3*g3^21*t^7.999)/g1^3 - (g1^5*g2*t^8.002)/g3^7 + (g3^24*t^8.01)/(g1^4*g2^2) + (g2*g3^21*t^8.062)/g1 + (g3^24*t^8.073)/(g1^2*g2^4) + (g1*g3^21*t^8.125)/g2 + (6*g2^2*g3^8*t^8.163)/g1^2 + (2*g3^11*t^8.174)/(g1^3*g2^3) + (g1^3*g3^21*t^8.187)/g2^3 + g1*g2^5*g3^5*t^8.215 + 9*g3^8*t^8.226 + (g2^3*t^8.265)/(g1^3*g3^5) + 2*g1^3*g2^3*g3^5*t^8.278 + (4*g1^2*g3^8*t^8.289)/g2^2 - (g2*t^8.327)/(g1*g3^5) + g1^5*g2*g3^5*t^8.341 + (g1^2*g2^4*t^8.379)/g3^8 + (2*g1*t^8.39)/(g2*g3^5) + (g1^4*g2^2*t^8.442)/g3^8 + t^8.491/g3^18 + (g2^3*g3^7*t^8.604)/g1^3 - (5*g2*g3^7*t^8.666)/g1 - (3*g3^10*t^8.677)/(g1^2*g2^4) - (6*g1*g3^7*t^8.729)/g2 + (2*g2^2*t^8.768)/(g1^2*g3^6) - (g1^3*g3^7*t^8.792)/g2^3 - (g1*g2^5*t^8.82)/g3^9 - (4*t^8.83)/g3^6 - (3*g1^3*g2^3*t^8.883)/g3^9 - (g1^2*t^8.893)/(g2^2*g3^6) + (2*g2^3*g3^19*t^8.943)/g1^3 - (2*g1^5*g2*t^8.945)/g3^9 + (5*g3^22*t^8.953)/(g1^4*g2^2) + t^8.83/(g3^6*y^2) - t^3.943/(g3^2*y) - t^4.887/(g3^4*y) - (g2*t^6.271)/(g1*g3^7*y) - (g2*g3^5*t^6.61)/(g1*y) - (g1*g3^5*t^6.673)/(g2*y) - t^6.774/(g3^8*y) - (g2*t^7.214)/(g1*g3^9*y) - (2*g2*g3^3*t^7.553)/(g1*y) - (g1*g3^3*t^7.616)/(g2*y) - t^7.717/(g3^10*y) + (g2^2*g3^2*t^7.994)/(g1^2*y) + (g3^2*t^8.057)/y + (g2*t^8.158)/(g1*g3^11*y) + (g3^14*t^8.396)/y - (g2*g3*t^8.497)/(g1*y) - (g2^2*t^8.598)/(g1^2*g3^12*y) + (g2^2*t^8.937)/(g1^2*y) - (t^3.943*y)/g3^2 - (t^4.887*y)/g3^4 - (g2*t^6.271*y)/(g1*g3^7) - (g2*g3^5*t^6.61*y)/g1 - (g1*g3^5*t^6.673*y)/g2 - (t^6.774*y)/g3^8 - (g2*t^7.214*y)/(g1*g3^9) - (2*g2*g3^3*t^7.553*y)/g1 - (g1*g3^3*t^7.616*y)/g2 - (t^7.717*y)/g3^10 + (g2^2*g3^2*t^7.994*y)/g1^2 + g3^2*t^8.057*y + (g2*t^8.158*y)/(g1*g3^11) + g3^14*t^8.396*y - (g2*g3*t^8.497*y)/g1 - (g2^2*t^8.598*y)/(g1^2*g3^12) + (g2^2*t^8.937*y)/g1^2 + (t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 57496 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4044 | 1.591 | 0.8827 | [X:[1.3715], M:[0.7856], q:[0.3846, 0.6989], qb:[0.5155, 0.5155], phi:[0.3142]] | t^2.36 + 2*t^2.7 + t^2.83 + 3*t^3.64 + t^4.11 + 4*t^4.59 + t^4.71 + t^5.06 + t^5.18 + t^5.35 + 3*t^5.4 + 4*t^5.53 + 2*t^5.58 + t^5.66 - 4*t^6. - t^3.94/y - t^4.89/y - t^3.94*y - t^4.89*y | detail | |
| 57498 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4005 | 1.5908 | 0.8804 | [X:[1.3547], M:[0.795, 1.0321], q:[0.3681, 0.6907], qb:[0.5143, 0.4911], phi:[0.3226]] | t^2.39 + t^2.58 + t^2.65 + t^3.1 + 2*t^3.55 + t^3.61 + t^4.06 + 2*t^4.51 + 2*t^4.58 + t^4.77 + t^4.96 + t^5.16 + t^5.22 + t^5.25 + t^5.29 + t^5.46 + 2*t^5.48 + t^5.53 + t^5.55 + t^5.67 + t^5.74 + t^5.93 - 4*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail | |
| 57497 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3969 | 1.5736 | 0.8877 | [X:[1.3909], M:[0.7701, 1.0571], q:[0.4036, 0.7081], qb:[0.5218, 0.5394], phi:[0.3045]] | t^2.31 + t^2.74 + t^2.78 + t^3.17 + t^3.69 + 2*t^3.74 + t^4.17 + 2*t^4.6 + t^4.62 + 2*t^4.66 + t^5.05 + t^5.46 + 2*t^5.48 + 2*t^5.52 + t^5.55 + t^5.57 + t^5.66 + t^5.72 + t^5.91 - 4*t^6. - t^3.91/y - t^4.83/y - t^3.91*y - t^4.83*y | detail | |
| 57499 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4229 | 1.624 | 0.8762 | [X:[1.3773], M:[0.7599, 0.7599], q:[0.39, 0.7014], qb:[0.5387, 0.5016], phi:[0.3114]] | 2*t^2.28 + t^2.67 + t^2.79 + t^2.8 + 2*t^3.61 + t^4.13 + 2*t^4.54 + 3*t^4.56 + 2*t^4.65 + 2*t^4.95 + t^5.07 + 2*t^5.08 + t^5.35 + t^5.38 + t^5.46 + 2*t^5.48 + t^5.56 + t^5.57 + 2*t^5.59 + t^5.6 + t^5.67 + 3*t^5.89 - 5*t^6. - t^3.93/y - t^4.87/y - t^3.93*y - t^4.87*y | detail | |
| 57488 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3881 | 1.5644 | 0.8873 | [X:[1.4075], M:[0.734], q:[0.4692, 0.7654], qb:[0.5006, 0.4873], phi:[0.2962]] | t^2.2 + t^2.67 + t^2.87 + t^2.91 + 2*t^3.76 + t^3.8 + t^4.22 + t^4.4 + 2*t^4.65 + 2*t^4.69 + t^4.87 + t^5.07 + t^5.31 + t^5.33 + t^5.35 + 2*t^5.54 + 2*t^5.58 + t^5.74 + t^5.78 + t^5.82 + t^5.96 - 3*t^6. - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*y | detail | |
| 57491 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3976 | 1.5772 | 0.8861 | [X:[1.3929], M:[0.7688], q:[0.3753, 0.6789], qb:[0.5523, 0.5721], phi:[0.3036]] | t^2.31 + t^2.73 + t^2.78 + t^2.84 + t^3.69 + 2*t^3.75 + t^4.18 + 2*t^4.6 + t^4.61 + 2*t^4.66 + t^5.04 + t^5.15 + t^5.2 + t^5.46 + 2*t^5.51 + 3*t^5.57 + t^5.63 + t^5.68 - 3*t^6. - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*y | detail | |
| 57494 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3992 | 1.5824 | 0.8843 | [X:[1.3887], M:[0.7377], q:[0.3742, 0.6799], qb:[0.5824, 0.5296], phi:[0.3057]] | t^2.21 + t^2.71 + t^2.75 + t^2.87 + 2*t^3.63 + t^3.79 + t^4.17 + t^4.43 + 2*t^4.55 + 2*t^4.7 + t^4.92 + t^4.96 + t^5.2 + t^5.42 + 2*t^5.46 + t^5.5 + t^5.58 + 2*t^5.62 + t^5.74 + 2*t^5.84 - 3*t^6. - t^3.92/y - t^4.83/y - t^3.92*y - t^4.83*y | detail | |
| 57495 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ | 1.3986 | 1.5973 | 0.8756 | [X:[1.3333], M:[0.8205], q:[0.3471, 0.6805], qb:[0.499, 0.4734], phi:[0.3333]] | 2*t^2.46 + t^2.54 + t^3. + 2*t^3.46 + t^3.54 + t^4. + 2*t^4.46 + 2*t^4.54 + 3*t^4.92 + t^5. + t^5.08 + t^5.12 + t^5.34 + t^5.41 + 3*t^5.46 + 2*t^5.54 + 3*t^5.92 - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
| 57489 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.3908 | 1.5608 | 0.8911 | [X:[1.4286], M:[0.7093], q:[0.4405, 0.7262], qb:[0.5646, 0.5545], phi:[0.2857]] | t^2.13 + t^2.57 + t^2.98 + t^3.02 + 2*t^3.84 + t^3.87 + t^4.26 + t^4.29 + 3*t^4.7 + 2*t^4.73 + t^5.11 + t^5.14 + 2*t^5.56 + 2*t^5.59 + t^5.68 + t^5.88 + t^5.91 + 2*t^5.97 - 3*t^6. - t^3.86/y - t^4.71/y - t^5.98/y - t^3.86*y - t^4.71*y - t^5.98*y | detail | |
| 57490 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.3969 | 1.5761 | 0.8863 | [X:[1.4051], M:[0.7026], q:[0.4166, 0.714], qb:[0.5834, 0.5013], phi:[0.2974]] | t^2.11 + t^2.68 + t^2.75 + t^3. + 2*t^3.65 + t^3.89 + 2*t^4.22 + 2*t^4.54 + 3*t^4.78 + t^4.86 + t^5.35 + 2*t^5.43 + t^5.51 + t^5.53 + t^5.65 + 2*t^5.68 + 2*t^5.75 + t^5.9 - 3*t^6. - t^3.89/y - t^4.78/y - t^6./y - t^3.89*y - t^4.78*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47874 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4951 | 1.7264 | 0.866 | [M:[0.6735], q:[0.4945, 0.493], qb:[0.4945, 0.493], phi:[0.3375]] | t^2.021 + t^2.025 + t^2.958 + 2*t^2.962 + t^2.967 + t^3.038 + t^3.971 + 2*t^3.975 + t^4.041 + t^4.046 + t^4.05 + t^4.979 + 4*t^4.983 + 5*t^4.987 + 2*t^4.992 + t^5.058 + t^5.063 + 2*t^5.454 + 2*t^5.458 + t^5.916 + 2*t^5.92 + 4*t^5.925 + 2*t^5.929 + t^5.934 + t^5.991 + 2*t^5.996 - t^4.013/y - t^5.025/y - t^4.013*y - t^5.025*y | detail |