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 |
|---|---|---|---|---|---|---|---|---|---|
| 57639 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.2512 | 1.4516 | 0.8619 | [X:[1.4008, 1.4008], M:[1.0, 1.0], q:[0.3824, 0.3824], qb:[0.2168, 0.6134], phi:[0.4008]] | [X:[[0, 2, 0], [0, 0, 2]], M:[[0, 1, -1], [0, -1, 1]], q:[[-1, -6, -4], [-1, -4, -6]], qb:[[1, 4, 4], [1, 0, 0]], phi:[[0, 1, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{2}^{2}$ | -3 | t^2.41 + 2*t^2.99 + 2*t^3. + t^3.61 + 2*t^4.19 + 4*t^4.2 + t^4.34 + 2*t^4.64 + 4*t^5.39 + 2*t^5.41 + t^5.53 + t^5.55 + t^5.56 + 2*t^5.85 + 3*t^5.97 + 4*t^5.99 - 3*t^6. - t^6.45 + 2*t^6.59 + 6*t^6.61 + t^6.74 + 2*t^6.75 + 6*t^7.05 + 4*t^7.18 + 10*t^7.19 + 3*t^7.2 + 2*t^7.33 - 2*t^7.36 + 4*t^7.63 + 2*t^7.64 - 4*t^7.66 - 2*t^7.78 + 2*t^7.8 + 4*t^7.81 + t^7.94 + t^7.95 + t^7.96 - 2*t^8.24 + 4*t^8.25 + 10*t^8.38 + 14*t^8.39 + 3*t^8.41 - t^8.42 + 2*t^8.52 + 4*t^8.53 + 2*t^8.55 + t^8.69 + 7*t^8.83 + 4*t^8.85 - 5*t^8.86 + 4*t^8.96 + 6*t^8.97 - 8*t^8.99 - t^4.2/y - t^5.41/y - t^6.61/y - (2*t^7.19)/y + t^7.8/y - (2*t^7.81)/y - (2*t^8.41)/y + t^8.97/y + (5*t^8.99)/y - t^4.2*y - t^5.41*y - t^6.61*y - 2*t^7.19*y + t^7.8*y - 2*t^7.81*y - 2*t^8.41*y + t^8.97*y + 5*t^8.99*y | g2^2*g3^2*t^2.41 + t^2.99/(g2^4*g3^6) + t^2.99/(g2^6*g3^4) + (g2*t^3.)/g3 + (g3*t^3.)/g2 + g2^3*g3^3*t^3.61 + t^4.19/(g2^3*g3^5) + t^4.19/(g2^5*g3^3) + 2*g2^2*t^4.2 + 2*g3^2*t^4.2 + g1^3*g2^9*g3^9*t^4.34 + t^4.64/(g1^3*g2^13*g3^15) + t^4.64/(g1^3*g2^15*g3^13) + (2*t^5.39)/(g2^2*g3^4) + (2*t^5.39)/(g2^4*g3^2) + g2^3*g3*t^5.41 + g2*g3^3*t^5.41 + g1^3*g2^5*g3^5*t^5.53 + g1^3*g2^10*g3^10*t^5.55 + g1^3*g2^15*g3^15*t^5.56 + t^5.85/(g1^3*g2^12*g3^14) + t^5.85/(g1^3*g2^14*g3^12) + t^5.97/(g2^8*g3^12) + t^5.97/(g2^10*g3^10) + t^5.97/(g2^12*g3^8) + t^5.99/(g2^3*g3^7) + (2*t^5.99)/(g2^5*g3^5) + t^5.99/(g2^7*g3^3) - 3*t^6. - t^6.45/(g1^3*g2^10*g3^10) + t^6.59/(g2*g3^3) + t^6.59/(g2^3*g3) + 3*g2^4*g3^2*t^6.61 + 3*g2^2*g3^4*t^6.61 + g1^3*g2^6*g3^6*t^6.74 + 2*g1^3*g2^11*g3^11*t^6.75 + t^7.05/(g1^3*g2^9*g3^15) + (2*t^7.05)/(g1^3*g2^11*g3^13) + (2*t^7.05)/(g1^3*g2^13*g3^11) + t^7.05/(g1^3*g2^15*g3^9) + t^7.18/(g2^7*g3^11) + (2*t^7.18)/(g2^9*g3^9) + t^7.18/(g2^11*g3^7) + (3*t^7.19)/(g2^2*g3^6) + (4*t^7.19)/(g2^4*g3^4) + (3*t^7.19)/(g2^6*g3^2) + (g2^3*t^7.2)/g3 + g2*g3*t^7.2 + (g3^3*t^7.2)/g2 + g1^3*g2^5*g3^3*t^7.33 + g1^3*g2^3*g3^5*t^7.33 - g1^3*g2^15*g3^13*t^7.36 - g1^3*g2^13*g3^15*t^7.36 + t^7.63/(g1^3*g2^17*g3^21) + (2*t^7.63)/(g1^3*g2^19*g3^19) + t^7.63/(g1^3*g2^21*g3^17) + t^7.64/(g1^3*g2^12*g3^16) + t^7.64/(g1^3*g2^16*g3^12) - t^7.66/(g1^3*g2^7*g3^11) - (2*t^7.66)/(g1^3*g2^9*g3^9) - t^7.66/(g1^3*g2^11*g3^7) - t^7.78/(g2^5*g3^7) - t^7.78/(g2^7*g3^5) + t^7.8/g2^2 + t^7.8/g3^2 + 2*g2^5*g3^3*t^7.81 + 2*g2^3*g3^5*t^7.81 + g1^3*g2^7*g3^7*t^7.94 + g1^3*g2^12*g3^12*t^7.95 + g1^3*g2^17*g3^17*t^7.96 - t^8.24/(g1^3*g2^15*g3^17) - t^8.24/(g1^3*g2^17*g3^15) + (2*t^8.25)/(g1^3*g2^10*g3^12) + (2*t^8.25)/(g1^3*g2^12*g3^10) + (3*t^8.38)/(g2^6*g3^10) + (4*t^8.38)/(g2^8*g3^8) + (3*t^8.38)/(g2^10*g3^6) + (4*t^8.39)/(g2*g3^5) + (6*t^8.39)/(g2^3*g3^3) + (4*t^8.39)/(g2^5*g3) + 2*g2^4*t^8.41 - g2^2*g3^2*t^8.41 + 2*g3^4*t^8.41 - g2^7*g3^7*t^8.42 + (g1^3*g2*t^8.52)/g3 + (g1^3*g3*t^8.52)/g2 + 2*g1^3*g2^6*g3^4*t^8.53 + 2*g1^3*g2^4*g3^6*t^8.53 + g1^3*g2^11*g3^9*t^8.55 + g1^3*g2^9*g3^11*t^8.55 + g1^6*g2^18*g3^18*t^8.69 + (2*t^8.83)/(g1^3*g2^16*g3^20) + (3*t^8.83)/(g1^3*g2^18*g3^18) + (2*t^8.83)/(g1^3*g2^20*g3^16) + t^8.85/(g1^3*g2^11*g3^15) + (2*t^8.85)/(g1^3*g2^13*g3^13) + t^8.85/(g1^3*g2^15*g3^11) - t^8.86/(g1^3*g2^6*g3^10) - (3*t^8.86)/(g1^3*g2^8*g3^8) - t^8.86/(g1^3*g2^10*g3^6) + t^8.96/(g2^12*g3^18) + t^8.96/(g2^14*g3^16) + t^8.96/(g2^16*g3^14) + t^8.96/(g2^18*g3^12) + t^8.97/(g2^7*g3^13) + (2*t^8.97)/(g2^9*g3^11) + (2*t^8.97)/(g2^11*g3^9) + t^8.97/(g2^13*g3^7) - (4*t^8.99)/(g2^4*g3^6) - (4*t^8.99)/(g2^6*g3^4) - (g2*g3*t^4.2)/y - (g2^2*g3^2*t^5.41)/y - (g2^3*g3^3*t^6.61)/y - t^7.19/(g2^3*g3^5*y) - t^7.19/(g2^5*g3^3*y) + t^7.8/(g2*g3*y) - (2*g2^4*g3^4*t^7.81)/y - (g2^3*g3*t^8.41)/y - (g2*g3^3*t^8.41)/y + t^8.97/(g2^10*g3^10*y) + t^8.99/(g2^3*g3^7*y) + (3*t^8.99)/(g2^5*g3^5*y) + t^8.99/(g2^7*g3^3*y) - g2*g3*t^4.2*y - g2^2*g3^2*t^5.41*y - g2^3*g3^3*t^6.61*y - (t^7.19*y)/(g2^3*g3^5) - (t^7.19*y)/(g2^5*g3^3) + (t^7.8*y)/(g2*g3) - 2*g2^4*g3^4*t^7.81*y - g2^3*g3*t^8.41*y - g2*g3^3*t^8.41*y + (t^8.97*y)/(g2^10*g3^10) + (t^8.99*y)/(g2^3*g3^7) + (3*t^8.99*y)/(g2^5*g3^5) + (t^8.99*y)/(g2^7*g3^3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 59039 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{2}M_{3}$ | 1.2521 | 1.4537 | 0.8613 | [X:[1.3817, 1.4199], M:[0.9809, 1.0191, 0.9809], q:[0.4016, 0.3635], qb:[0.2166, 0.6134], phi:[0.4008]] | t^2.4 + t^2.93 + 2*t^2.94 + t^3.05 + t^3.61 + t^4.13 + 2*t^4.15 + t^4.25 + 2*t^4.26 + t^4.34 + t^4.59 + t^4.7 + 2*t^5.34 + 2*t^5.35 + 2*t^5.45 + t^5.53 + t^5.54 + t^5.56 + t^5.79 + t^5.86 + 2*t^5.87 + 2*t^5.89 + t^5.91 + t^5.98 + 2*t^5.99 - 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 59000 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 1.1812 | 1.3956 | 0.8464 | [X:[1.2865, 1.5712], M:[0.8577, 1.1423], q:[0.499, 0.2144], qb:[0.2144, 0.499], phi:[0.4288]] | t^2.14 + 2*t^2.57 + t^2.99 + 2*t^3.43 + 3*t^3.86 + 2*t^4.07 + 2*t^4.28 + 5*t^4.71 + 2*t^4.92 + t^5.13 + t^5.15 + 2*t^5.36 + 5*t^5.57 + 2*t^5.79 + t^5.99 + 2*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | |
| 60029 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.2512 | 1.4514 | 0.862 | [X:[1.3993, 1.4017], M:[0.9988, 1.0012], q:[0.384, 0.3815], qb:[0.2167, 0.6147], phi:[0.4005]] | t^2.4 + t^2.99 + 3*t^3. + t^3.6 + t^4.19 + 3*t^4.2 + 2*t^4.21 + t^4.35 + t^4.64 + t^4.65 + 2*t^5.39 + 3*t^5.4 + t^5.41 + t^5.54 + t^5.55 + t^5.56 + t^5.84 + t^5.85 + t^5.98 + 5*t^5.99 - 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58560 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.2682 | 1.4838 | 0.8547 | [X:[1.4046, 1.4046], M:[1.0, 1.0, 0.7863], q:[0.3782, 0.3782], qb:[0.2173, 0.5991], phi:[0.4046]] | t^2.36 + t^2.43 + 2*t^2.93 + 2*t^3. + 2*t^4.15 + 4*t^4.21 + t^4.31 + 2*t^4.62 + t^4.72 + t^4.79 + 2*t^5.29 + 6*t^5.36 + 2*t^5.43 + t^5.46 + t^5.53 + t^5.6 + 2*t^5.83 + 3*t^5.86 + 4*t^5.93 - 3*t^6. - t^4.21/y - t^5.43/y - t^4.21*y - t^5.43*y | detail | |
| 59412 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1.2542 | 1.4535 | 0.8629 | [X:[1.3716, 1.4089], M:[0.9813, 1.0187, 0.9325], q:[0.4129, 0.3755], qb:[0.2156, 0.6546], phi:[0.3902]] | t^2.34 + t^2.8 + t^2.94 + t^3.06 + t^3.09 + t^3.51 + 2*t^4.11 + 2*t^4.23 + t^4.26 + t^4.37 + t^4.43 + t^4.66 + t^4.77 + t^5.14 + t^5.29 + t^5.4 + 2*t^5.43 + t^5.45 + t^5.54 + 2*t^5.6 + 2*t^5.74 + t^5.83 + t^5.85 + t^5.89 + t^5.95 - 3*t^6. - t^4.17/y - t^5.34/y - t^4.17*y - t^5.34*y | detail | |
| 58561 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.1636 | 1.3527 | 0.8603 | [X:[1.2786, 1.4775], M:[0.9005, 1.0995], q:[0.607, 0.408], qb:[0.1144, 0.6022], phi:[0.3781]] | t^2.27 + t^2.7 + t^3.03 + t^3.3 + t^3.4 + 2*t^3.63 + 2*t^3.84 + t^4.16 + 3*t^4.43 + 2*t^4.76 + t^4.97 + t^5.09 + 2*t^5.3 + t^5.4 + t^5.57 + t^5.73 + 4*t^5.9 - 3*t^6. - t^4.13/y - t^5.27/y - t^4.13*y - t^5.27*y | detail | |
| 58617 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.2446 | 1.4381 | 0.8654 | [X:[1.3872, 1.3872], M:[1.0, 1.0], q:[0.3761, 0.3761], qb:[0.2367, 0.6881], phi:[0.3872]] | t^2.32 + 2*t^3. + 2*t^3.19 + t^3.48 + 4*t^4.16 + 2*t^4.35 + 2*t^4.55 + t^4.65 + 2*t^5.32 + 4*t^5.52 + t^5.62 + 2*t^5.71 + t^5.81 - 2*t^6. - t^4.16/y - t^5.32/y - t^4.16*y - t^5.32*y | detail | |
| 59144 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 1.2402 | 1.4463 | 0.8575 | [X:[1.4121, 1.4121], M:[1.0, 1.0], q:[0.3333, 0.3333], qb:[0.2546, 0.6062], phi:[0.4121]] | t^2.47 + 2*t^2.82 + 2*t^3. + t^3.71 + 2*t^4.05 + 6*t^4.24 + t^4.58 + 4*t^5.29 + 4*t^5.47 + 4*t^5.64 + 5*t^5.82 - 2*t^6. - t^4.24/y - t^5.47/y - t^4.24*y - t^5.47*y | detail | |
| 59391 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2512 | 1.4513 | 0.8621 | [X:[1.4013, 1.3991], M:[1.0011, 0.9989], q:[0.382, 0.3842], qb:[0.2167, 0.6158], phi:[0.4002]] | t^2.4 + t^2.99 + 3*t^3. + t^3.6 + t^4.19 + 5*t^4.2 + t^4.35 + 2*t^4.65 + 2*t^5.39 + 4*t^5.4 + 3*t^5.55 + 2*t^5.85 + 3*t^5.99 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47933 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.5159 | 1.7676 | 0.8576 | [M:[0.6732, 0.6732], q:[0.4941, 0.4941], qb:[0.4955, 0.4927], phi:[0.3373]] | 2*t^2.019 + t^2.024 + 2*t^2.96 + 2*t^2.969 + t^3.036 + 2*t^3.972 + 3*t^4.039 + 2*t^4.043 + t^4.047 + 4*t^4.98 + 4*t^4.984 + 4*t^4.988 + 4*t^4.992 + 2*t^5.055 + t^5.059 + t^5.454 + 2*t^5.458 + t^5.463 + 3*t^5.92 + 4*t^5.929 + 3*t^5.937 + 3*t^5.992 + 4*t^5.996 - 6*t^6. - t^4.012/y - t^5.024/y - t^4.012*y - t^5.024*y | detail |