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 |
|---|---|---|---|---|---|---|---|---|---|
| 2515 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.7393 | 0.93 | 0.7949 | [M:[0.8552, 1.0409, 0.9591, 0.937, 1.063, 0.8332, 0.6928, 0.937], q:[0.6243, 0.5205], qb:[0.4166, 0.5425], phi:[0.474]] | [M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [16, 0], [-19, -1], [4, -4]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -3 | t^2.078 + t^2.5 + t^2.566 + 2*t^2.811 + t^2.844 + t^2.877 + t^3.123 + t^4.157 + t^4.233 + t^4.299 + 2*t^4.545 + t^4.578 + t^4.611 + t^4.644 + t^4.677 + t^4.856 + 2*t^4.889 + 2*t^4.923 + t^4.956 + t^4.999 + t^5.065 + t^5.131 + t^5.168 + t^5.201 + 2*t^5.311 + t^5.344 + 2*t^5.377 + t^5.41 + t^5.443 + 3*t^5.622 + 2*t^5.655 + 2*t^5.688 + t^5.721 + t^5.934 + t^5.967 - 3*t^6. - t^6.066 + t^6.235 - 2*t^6.312 + t^6.623 + t^6.656 + t^6.689 + t^6.722 + t^6.733 + t^6.755 + t^6.799 + t^6.865 + t^6.935 + 2*t^6.968 + 2*t^7.001 + t^7.034 + 3*t^7.044 + t^7.077 + 3*t^7.111 + 2*t^7.144 + 2*t^7.177 + t^7.21 + t^7.243 + t^7.246 + t^7.279 + 4*t^7.356 + 3*t^7.389 + 3*t^7.422 + 2*t^7.455 + 3*t^7.488 + t^7.499 + 2*t^7.521 + t^7.554 + t^7.565 + t^7.631 + 3*t^7.668 + t^7.697 + 2*t^7.701 + 2*t^7.734 + 2*t^7.767 + t^7.8 + 2*t^7.81 - t^7.833 + t^7.843 + 2*t^7.876 + t^7.909 + 2*t^7.942 + t^7.976 + 2*t^7.979 + t^8.009 + t^8.012 - 4*t^8.078 - t^8.111 + 3*t^8.122 - t^8.144 + 2*t^8.155 + 2*t^8.188 + 2*t^8.221 + 2*t^8.254 + t^8.287 + t^8.291 + t^8.313 - t^8.324 - t^8.357 - 2*t^8.39 + 3*t^8.433 + 3*t^8.466 - 2*t^8.5 + 2*t^8.533 - 3*t^8.566 - t^8.632 + t^8.702 + t^8.735 + t^8.745 + t^8.768 + 2*t^8.778 + t^8.801 - 8*t^8.811 + t^8.834 - 2*t^8.844 - 6*t^8.877 - t^8.943 + t^8.976 - t^4.422/y - t^6.5/y - t^6.922/y - t^6.988/y - t^7.233/y - t^7.266/y + (2*t^7.578)/y + t^7.611/y + t^7.644/y + t^7.856/y + (2*t^7.889)/y + (2*t^7.923)/y + t^7.956/y + t^8.065/y + t^8.201/y + (2*t^8.311)/y + (2*t^8.344)/y + (3*t^8.377)/y + t^8.41/y + t^8.443/y - t^8.579/y + (2*t^8.622)/y + (2*t^8.655)/y + (3*t^8.688)/y + t^8.721/y + (2*t^8.934)/y + t^8.967/y - t^4.422*y - t^6.5*y - t^6.922*y - t^6.988*y - t^7.233*y - t^7.266*y + 2*t^7.578*y + t^7.611*y + t^7.644*y + t^7.856*y + 2*t^7.889*y + 2*t^7.923*y + t^7.956*y + t^8.065*y + t^8.201*y + 2*t^8.311*y + 2*t^8.344*y + 3*t^8.377*y + t^8.41*y + t^8.443*y - t^8.579*y + 2*t^8.622*y + 2*t^8.655*y + 3*t^8.688*y + t^8.721*y + 2*t^8.934*y + t^8.967*y | t^2.078/(g1^19*g2) + g1^16*t^2.5 + g1^20*g2^12*t^2.566 + (2*g1^4*t^2.811)/g2^4 + g1^6*g2^2*t^2.844 + g1^8*g2^8*t^2.877 + t^3.123/(g1^8*g2^8) + t^4.157/(g1^38*g2^2) + (g1^7*t^4.233)/g2^3 + g1^11*g2^9*t^4.299 + (2*t^4.545)/(g1^5*g2^7) + t^4.578/(g1^3*g2) + (g2^5*t^4.611)/g1 + g1*g2^11*t^4.644 + g1^3*g2^17*t^4.677 + t^4.856/(g1^17*g2^11) + (2*t^4.889)/(g1^15*g2^5) + (2*g2*t^4.923)/g1^13 + (g2^7*t^4.956)/g1^11 + g1^32*t^4.999 + g1^36*g2^12*t^5.065 + g1^40*g2^24*t^5.131 + t^5.168/(g1^29*g2^15) + t^5.201/(g1^27*g2^9) + (2*g1^20*t^5.311)/g2^4 + g1^22*g2^2*t^5.344 + 2*g1^24*g2^8*t^5.377 + g1^26*g2^14*t^5.41 + g1^28*g2^20*t^5.443 + (3*g1^8*t^5.622)/g2^8 + (2*g1^10*t^5.655)/g2^2 + 2*g1^12*g2^4*t^5.688 + g1^14*g2^10*t^5.721 + t^5.934/(g1^4*g2^12) + t^5.967/(g1^2*g2^6) - 3*t^6. - g1^4*g2^12*t^6.066 + t^6.235/(g1^57*g2^3) - (2*t^6.312)/(g1^12*g2^4) + t^6.623/(g1^24*g2^8) + t^6.656/(g1^22*g2^2) + (g2^4*t^6.689)/g1^20 + (g2^10*t^6.722)/g1^18 + (g1^23*t^6.733)/g2^3 + (g2^16*t^6.755)/g1^16 + g1^27*g2^9*t^6.799 + g1^31*g2^21*t^6.865 + t^6.935/(g1^36*g2^12) + (2*t^6.968)/(g1^34*g2^6) + (2*t^7.001)/g1^32 + (g2^6*t^7.034)/g1^30 + (3*g1^11*t^7.044)/g2^7 + (g1^13*t^7.077)/g2 + 3*g1^15*g2^5*t^7.111 + 2*g1^17*g2^11*t^7.144 + 2*g1^19*g2^17*t^7.177 + g1^21*g2^23*t^7.21 + g1^23*g2^29*t^7.243 + t^7.246/(g1^48*g2^16) + t^7.279/(g1^46*g2^10) + (4*t^7.356)/(g1*g2^11) + (3*g1*t^7.389)/g2^5 + 3*g1^3*g2*t^7.422 + 2*g1^5*g2^7*t^7.455 + 3*g1^7*g2^13*t^7.488 + g1^48*t^7.499 + 2*g1^9*g2^19*t^7.521 + g1^11*g2^25*t^7.554 + g1^52*g2^12*t^7.565 + g1^56*g2^24*t^7.631 + (3*t^7.668)/(g1^13*g2^15) + g1^60*g2^36*t^7.697 + (2*t^7.701)/(g1^11*g2^9) + (2*t^7.734)/(g1^9*g2^3) + (2*g2^3*t^7.767)/g1^7 + (g2^9*t^7.8)/g1^5 + (2*g1^36*t^7.81)/g2^4 - (g2^15*t^7.833)/g1^3 + g1^38*g2^2*t^7.843 + 2*g1^40*g2^8*t^7.876 + g1^42*g2^14*t^7.909 + 2*g1^44*g2^20*t^7.942 + g1^46*g2^26*t^7.976 + (2*t^7.979)/(g1^25*g2^19) + g1^48*g2^32*t^8.009 + t^8.012/(g1^23*g2^13) - (4*t^8.078)/(g1^19*g2) - (g2^5*t^8.111)/g1^17 + (3*g1^24*t^8.122)/g2^8 - (g2^11*t^8.144)/g1^15 + (2*g1^26*t^8.155)/g2^2 + 2*g1^28*g2^4*t^8.188 + 2*g1^30*g2^10*t^8.221 + 2*g1^32*g2^16*t^8.254 + g1^34*g2^22*t^8.287 + t^8.291/(g1^37*g2^23) + t^8.313/(g1^76*g2^4) - t^8.324/(g1^35*g2^17) - t^8.357/(g1^33*g2^11) - (2*t^8.39)/(g1^31*g2^5) + (3*g1^12*t^8.433)/g2^12 + (3*g1^14*t^8.466)/g2^6 - 2*g1^16*t^8.5 + 2*g1^18*g2^6*t^8.533 - 3*g1^20*g2^12*t^8.566 - g1^24*g2^24*t^8.632 + t^8.702/(g1^43*g2^9) + t^8.735/(g1^41*g2^3) + t^8.745/g2^16 + (g2^3*t^8.768)/g1^39 + (2*g1^2*t^8.778)/g2^10 + (g2^9*t^8.801)/g1^37 - (8*g1^4*t^8.811)/g2^4 + (g2^15*t^8.834)/g1^35 - 2*g1^6*g2^2*t^8.844 - 6*g1^8*g2^8*t^8.877 - g1^12*g2^20*t^8.943 + g1^14*g2^26*t^8.976 - (g1^3*g2*t^4.422)/y - t^6.5/(g1^16*y) - (g1^19*g2*t^6.922)/y - (g1^23*g2^13*t^6.988)/y - (g1^7*t^7.233)/(g2^3*y) - (g1^9*g2^3*t^7.266)/y + (2*t^7.578)/(g1^3*g2*y) + (g2^5*t^7.611)/(g1*y) + (g1*g2^11*t^7.644)/y + t^7.856/(g1^17*g2^11*y) + (2*t^7.889)/(g1^15*g2^5*y) + (2*g2*t^7.923)/(g1^13*y) + (g2^7*t^7.956)/(g1^11*y) + (g1^36*g2^12*t^8.065)/y + t^8.201/(g1^27*g2^9*y) + (2*g1^20*t^8.311)/(g2^4*y) + (2*g1^22*g2^2*t^8.344)/y + (3*g1^24*g2^8*t^8.377)/y + (g1^26*g2^14*t^8.41)/y + (g1^28*g2^20*t^8.443)/y - t^8.579/(g1^35*g2*y) + (2*g1^8*t^8.622)/(g2^8*y) + (2*g1^10*t^8.655)/(g2^2*y) + (3*g1^12*g2^4*t^8.688)/y + (g1^14*g2^10*t^8.721)/y + (2*t^8.934)/(g1^4*g2^12*y) + t^8.967/(g1^2*g2^6*y) - g1^3*g2*t^4.422*y - (t^6.5*y)/g1^16 - g1^19*g2*t^6.922*y - g1^23*g2^13*t^6.988*y - (g1^7*t^7.233*y)/g2^3 - g1^9*g2^3*t^7.266*y + (2*t^7.578*y)/(g1^3*g2) + (g2^5*t^7.611*y)/g1 + g1*g2^11*t^7.644*y + (t^7.856*y)/(g1^17*g2^11) + (2*t^7.889*y)/(g1^15*g2^5) + (2*g2*t^7.923*y)/g1^13 + (g2^7*t^7.956*y)/g1^11 + g1^36*g2^12*t^8.065*y + (t^8.201*y)/(g1^27*g2^9) + (2*g1^20*t^8.311*y)/g2^4 + 2*g1^22*g2^2*t^8.344*y + 3*g1^24*g2^8*t^8.377*y + g1^26*g2^14*t^8.41*y + g1^28*g2^20*t^8.443*y - (t^8.579*y)/(g1^35*g2) + (2*g1^8*t^8.622*y)/g2^8 + (2*g1^10*t^8.655*y)/g2^2 + 3*g1^12*g2^4*t^8.688*y + g1^14*g2^10*t^8.721*y + (2*t^8.934*y)/(g1^4*g2^12) + (t^8.967*y)/(g1^2*g2^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 4560 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ | 0.5918 | 0.7596 | 0.7791 | [X:[1.3527], M:[1.1286, 0.7967, 1.2033, 0.722, 1.278, 0.6473, 0.8714, 0.722], q:[0.473, 0.3983], qb:[0.3236, 0.8797], phi:[0.4813]] | 2*t^2.166 + t^2.39 + t^2.614 + t^2.888 + t^3.386 + 2*t^3.61 + 2*t^3.834 + 2*t^4.058 + t^4.282 + 2*t^4.332 + t^4.556 + 2*t^4.78 + t^5.004 + 3*t^5.054 + t^5.228 + 2*t^5.278 + 2*t^5.502 + t^5.552 + 3*t^5.776 + t^6. - t^4.444/y - t^4.444*y | detail | |
| 4564 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}X_{1}$ | 0.6474 | 0.8156 | 0.7938 | [X:[1.3897], M:[0.9108, 0.9296, 1.0704, 0.77, 1.23, 0.6103, 0.9296, 0.77], q:[0.6244, 0.4648], qb:[0.3052, 0.7653], phi:[0.4601]] | 2*t^2.31 + t^2.733 + t^2.761 + 2*t^2.789 + t^3.211 + t^3.69 + 3*t^4.169 + t^4.592 + 2*t^4.62 + t^4.648 + t^5.042 + 3*t^5.07 + 3*t^5.099 + t^5.127 + t^5.465 + t^5.493 + 3*t^5.521 + 3*t^5.549 + 2*t^5.577 + t^5.944 + 2*t^5.972 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 4556 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ | 0.6401 | 0.8077 | 0.7925 | [X:[1.4394], M:[0.7123, 1.0454, 0.9546, 0.803, 1.197, 0.5606, 1.0, 0.803], q:[0.7651, 0.5227], qb:[0.2803, 0.6743], phi:[0.4394]] | t^2.137 + 2*t^2.409 + t^2.636 + t^2.864 + t^3. + t^3.136 + t^3.727 + t^4.182 + t^4.274 + t^4.318 + 2*t^4.454 + t^4.546 + t^4.773 + 2*t^4.818 + t^4.909 + t^5.001 + 2*t^5.045 + t^5.137 + t^5.181 + 2*t^5.273 + t^5.364 + 2*t^5.409 + t^5.5 + t^5.545 + 2*t^5.636 + t^5.773 + t^5.864 + t^5.909 - 2*t^6. - t^4.318/y - t^4.318*y | detail | |
| 4561 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6832 | 0.8732 | 0.7824 | [M:[1.0397, 0.8801, 1.1199, 0.7999, 1.2001, 0.7197, 0.8003, 0.7999], q:[0.5203, 0.4401], qb:[0.3599, 0.76], phi:[0.4799]] | t^2.159 + 2*t^2.4 + t^2.401 + t^2.64 + t^2.88 + t^3.119 + t^3.36 + t^3.84 + 2*t^4.08 + t^4.318 + t^4.321 + 2*t^4.559 + t^4.56 + t^4.561 + 4*t^4.799 + 2*t^4.801 + t^4.802 + t^5.039 + 2*t^5.04 + t^5.041 + t^5.278 + 2*t^5.279 + 2*t^5.281 + 2*t^5.519 + 2*t^5.52 + 2*t^5.759 + t^5.761 + 2*t^5.999 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1455 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7342 | 0.9219 | 0.7964 | [M:[0.847, 1.0534, 0.9466, 0.9538, 1.0462, 0.8541, 0.6708], q:[0.6263, 0.5267], qb:[0.4271, 0.5195], phi:[0.4751]] | t^2.012 + t^2.541 + t^2.562 + t^2.84 + t^2.851 + t^2.861 + t^3.139 + t^3.16 + t^4.025 + t^4.265 + t^4.287 + t^4.543 + t^4.553 + t^4.564 + t^4.575 + 2*t^4.585 + t^4.852 + 2*t^4.863 + t^4.874 + t^4.884 + t^5.082 + t^5.103 + t^5.125 + t^5.151 + t^5.173 + t^5.183 + t^5.381 + t^5.391 + t^5.402 + t^5.413 + t^5.424 + t^5.68 + t^5.69 + 2*t^5.701 + t^5.712 + t^5.723 + t^5.989 - 2*t^6. - t^4.425/y - t^4.425*y | detail |