Landscape




$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





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.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
47882 SU3adj1nf2 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ 1.4342 1.6257 0.8822 [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] [X:[[0, 0, 4]], M:[[0, 0, -5]], q:[[-1, 0, 7], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -2]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ -1 t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. + 4*t^6.192 + 2*t^6.338 + 5*t^6.676 + 4*t^6.822 + 2*t^6.968 + 9*t^7.16 + t^7.26 + t^7.452 + 9*t^7.644 + t^7.744 + t^7.836 + 2*t^7.936 + 2*t^7.982 + 11*t^8.128 + t^8.228 + 2*t^8.32 - 2*t^8.42 + 6*t^8.466 + 6*t^8.612 + t^8.712 - 4*t^8.758 + 4*t^8.804 + t^8.904 + 8*t^8.95 + t^8.904/y^2 - t^3.968/y - t^4.936/y - t^6.388/y - t^6.58/y - t^6.872/y - (2*t^7.064)/y - t^7.356/y - t^7.548/y - t^7.84/y - t^8.032/y + t^8.324/y + (2*t^8.516)/y + (2*t^8.708)/y - t^8.808/y - t^3.968*y - t^4.936*y - t^6.388*y - t^6.58*y - t^6.872*y - 2*t^7.064*y - t^7.356*y - t^7.548*y - t^7.84*y - t^8.032*y + t^8.324*y + 2*t^8.516*y + 2*t^8.708*y - t^8.808*y + t^8.904*y^2 t^2.42/g3^5 + g3^7*t^2.612 + t^2.904/g3^6 + (g1*g3^5*t^3.096)/g2 + (g2*g3^7*t^3.096)/g1 + g3^5*t^3.58 + (g1*g3^3*t^4.064)/g2 + g3^4*t^4.064 + (g2*g3^5*t^4.064)/g1 + 2*g3^3*t^4.548 + t^4.84/g3^10 + (g1*g3*t^5.032)/g2 + g3^2*t^5.032 + (g2*g3^3*t^5.032)/g1 + g3^14*t^5.224 + t^5.324/g3^11 + (g1^2*g2*t^5.37)/g3^2 + (g3^17*t^5.37)/(g1^2*g2) + 2*g3*t^5.516 + (g1*g3^12*t^5.708)/g2 + (g2*g3^14*t^5.708)/g1 + t^5.808/g3^12 + (g1*g2^2*t^5.854)/g3^2 + (g3^15*t^5.854)/(g1*g2^2) - 3*t^6. + (g1*t^6.)/(g2*g3) + (g2*g3*t^6.)/g1 + (g1^2*g3^10*t^6.192)/g2^2 + 2*g3^12*t^6.192 + (g2^2*g3^14*t^6.192)/g1^2 + (g1^2*g2*t^6.338)/g3^4 + (g3^15*t^6.338)/(g1^2*g2) - (g2*t^6.484)/g1 - (g1*t^6.484)/(g2*g3^2) + (2*t^6.484)/g3 + (2*g1*g3^10*t^6.676)/g2 + g3^11*t^6.676 + (2*g2*g3^12*t^6.676)/g1 + (g1^3*t^6.822)/g3^6 + (g1*g2^2*t^6.822)/g3^4 + (g3^13*t^6.822)/(g1*g2^2) + (g3^15*t^6.822)/g1^3 + (g1*t^6.968)/(g2*g3^3) + (g2*t^6.968)/(g1*g3) + (g1^2*g3^8*t^7.16)/g2^2 + (g1*g3^9*t^7.16)/g2 + 5*g3^10*t^7.16 + (g2*g3^11*t^7.16)/g1 + (g2^2*g3^12*t^7.16)/g1^2 + t^7.26/g3^15 + (g1^2*g2*t^7.306)/g3^6 - (g1*g2^2*t^7.306)/g3^5 - (g3^12*t^7.306)/(g1*g2^2) + (g3^13*t^7.306)/(g1^2*g2) - (g1*t^7.452)/(g2*g3^4) + (3*t^7.452)/g3^3 - (g2*t^7.452)/(g1*g3^2) + (4*g1*g3^8*t^7.644)/g2 + g3^9*t^7.644 + (4*g2*g3^10*t^7.644)/g1 + t^7.744/g3^16 - (g1^2*g2*t^7.79)/g3^7 + (g1*g2^2*t^7.79)/g3^6 + (g3^11*t^7.79)/(g1*g2^2) - (g3^12*t^7.79)/(g1^2*g2) + g3^21*t^7.836 + (g1*t^7.936)/(g2*g3^5) + (g2*t^7.936)/(g1*g3^3) + g1^2*g2*g3^5*t^7.982 + (g3^24*t^7.982)/(g1^2*g2) + (2*g1^2*g3^6*t^8.128)/g2^2 + 7*g3^8*t^8.128 + (2*g2^2*g3^10*t^8.128)/g1^2 + t^8.228/g3^17 - (g1^3*t^8.274)/g3^9 + (g1^2*g2*t^8.274)/g3^8 - (g1*g2^2*t^8.274)/g3^7 + (g2^3*t^8.274)/g3^6 + (g3^9*t^8.274)/g2^3 - (g3^10*t^8.274)/(g1*g2^2) + (g3^11*t^8.274)/(g1^2*g2) - (g3^12*t^8.274)/g1^3 + (g1*g3^19*t^8.32)/g2 + (g2*g3^21*t^8.32)/g1 - (g1*t^8.42)/(g2*g3^6) - (g2*t^8.42)/(g1*g3^4) + g1^3*g3^3*t^8.466 + 2*g1*g2^2*g3^5*t^8.466 + (2*g3^22*t^8.466)/(g1*g2^2) + (g3^24*t^8.466)/g1^3 + (5*g1*g3^6*t^8.612)/g2 - 4*g3^7*t^8.612 + (5*g2*g3^8*t^8.612)/g1 + t^8.712/g3^18 - (2*g1^2*g2*t^8.758)/g3^9 + (g1*g2^2*t^8.758)/g3^8 - (g2^3*t^8.758)/g3^7 - (g3^8*t^8.758)/g2^3 + (g3^9*t^8.758)/(g1*g2^2) - (2*g3^10*t^8.758)/(g1^2*g2) + (g1^2*g3^17*t^8.804)/g2^2 + 2*g3^19*t^8.804 + (g2^2*g3^21*t^8.804)/g1^2 + (g1*t^8.904)/(g2*g3^7) - t^8.904/g3^6 + (g2*t^8.904)/(g1*g3^5) + 3*g1^2*g2*g3^3*t^8.95 + g2^3*g3^5*t^8.95 + (g3^20*t^8.95)/g2^3 + (3*g3^22*t^8.95)/(g1^2*g2) + t^8.904/(g3^6*y^2) - t^3.968/(g3^2*y) - t^4.936/(g3^4*y) - t^6.388/(g3^7*y) - (g3^5*t^6.58)/y - t^6.872/(g3^8*y) - (g1*g3^3*t^7.064)/(g2*y) - (g2*g3^5*t^7.064)/(g1*y) - t^7.356/(g3^9*y) - (g3^3*t^7.548)/y - t^7.84/(g3^10*y) - (g1*g3*t^8.032)/(g2*y) + (g3^2*t^8.032)/y - (g2*g3^3*t^8.032)/(g1*y) + t^8.324/(g3^11*y) + (g1*t^8.516)/(g2*y) + (g2*g3^2*t^8.516)/(g1*y) + (g1*g3^12*t^8.708)/(g2*y) + (g2*g3^14*t^8.708)/(g1*y) - t^8.808/(g3^12*y) - (t^3.968*y)/g3^2 - (t^4.936*y)/g3^4 - (t^6.388*y)/g3^7 - g3^5*t^6.58*y - (t^6.872*y)/g3^8 - (g1*g3^3*t^7.064*y)/g2 - (g2*g3^5*t^7.064*y)/g1 - (t^7.356*y)/g3^9 - g3^3*t^7.548*y - (t^7.84*y)/g3^10 - (g1*g3*t^8.032*y)/g2 + g3^2*t^8.032*y - (g2*g3^3*t^8.032*y)/g1 + (t^8.324*y)/g3^11 + (g1*t^8.516*y)/g2 + (g2*g3^2*t^8.516*y)/g1 + (g1*g3^12*t^8.708*y)/g2 + (g2*g3^14*t^8.708*y)/g1 - (t^8.808*y)/g3^12 + (t^8.904*y^2)/g3^6


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
57298 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ 1.4062 1.6221 0.8669 [X:[1.2727], M:[0.9091], q:[0.3636, 0.5455], qb:[0.3636, 0.5455], phi:[0.3636]] t^2.182 + 3*t^2.727 + 2*t^3.273 + 3*t^3.818 + 3*t^4.364 + 7*t^4.909 + 9*t^5.455 + 7*t^6. - t^4.091/y - t^5.182/y - t^4.091*y - t^5.182*y detail {a: 14973/10648, c: 2159/1331, X1: 14/11, M1: 10/11, q1: 4/11, q2: 6/11, qb1: 4/11, qb2: 6/11, phi1: 4/11}
57294 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ 1.3133 1.5258 0.8607 [X:[1.2, 1.4], M:[1.0], q:[0.3, 0.5], qb:[0.3, 0.5], phi:[0.4]] 2*t^2.4 + 2*t^3. + 4*t^3.6 + 3*t^4.2 + 2*t^4.5 + 5*t^4.8 + 2*t^5.1 + 3*t^5.4 + 2*t^5.7 + 7*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail {a: 5253/4000, c: 6103/4000, X1: 6/5, X2: 7/5, M1: 1, q1: 3/10, q2: 1/2, qb1: 3/10, qb2: 1/2, phi1: 2/5}
57305 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ 1.4324 1.6286 0.8795 [X:[1.3376], M:[0.828, 1.0064], q:[0.4204, 0.586], qb:[0.4204, 0.586], phi:[0.3312]] t^2.484 + t^2.522 + 3*t^3.019 + t^3.516 + 3*t^4.013 + 2*t^4.51 + t^4.968 + 3*t^5.006 + t^5.045 + 2*t^5.274 + 2*t^5.503 + 3*t^5.541 + 2*t^5.771 - 3*t^6. - t^3.994/y - t^4.987/y - t^3.994*y - t^4.987*y detail
57304 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ 1.4239 1.604 0.8878 [X:[1.3732], M:[0.7835, 1.0969], q:[0.4515, 0.6082], qb:[0.4515, 0.6082], phi:[0.3134]] t^2.351 + t^2.821 + 2*t^3.179 + t^3.291 + t^3.649 + 3*t^4.12 + 2*t^4.59 + t^4.701 + 2*t^5.06 + t^5.171 + 2*t^5.474 + t^5.53 + 2*t^5.641 + 2*t^5.944 - t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y detail
57308 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ 1.4506 1.6523 0.8779 [X:[1.3637], M:[0.7954, 0.7954], q:[0.4432, 0.6023], qb:[0.4432, 0.6023], phi:[0.3182]] 2*t^2.386 + t^2.659 + t^2.864 + 2*t^3.136 + 3*t^4.091 + 2*t^4.568 + 3*t^4.773 + 4*t^5.045 + 2*t^5.25 + t^5.318 + 2*t^5.421 + 4*t^5.523 + t^5.727 + 2*t^5.796 + 2*t^5.898 - 2*t^6. - t^3.955/y - t^4.909/y - t^3.955*y - t^4.909*y detail
57290 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ 1.1035 1.2191 0.9052 [X:[1.5251, 1.4064], M:[0.5936], q:[0.3866, 0.9802], qb:[0.7823, 0.4262], phi:[0.2374]] t^2.137 + t^2.438 + t^3.151 + t^3.507 + t^3.863 + t^4.219 + t^4.274 + 2*t^4.575 + t^4.877 + 2*t^5.288 + t^5.589 + 2*t^5.616 + t^5.945 + 2*t^5.973 - 2*t^6. - t^3.712/y - t^4.425/y - t^5.849/y - t^3.712*y - t^4.425*y - t^5.849*y detail
57302 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ 1.4334 1.623 0.8832 [X:[1.3613], M:[0.7984], q:[0.4354, 0.5847], qb:[0.4469, 0.6169], phi:[0.3194]] t^2.395 + t^2.647 + t^2.874 + t^3.095 + t^3.157 + t^3.605 + t^4.053 + t^4.084 + t^4.115 + 2*t^4.563 + t^4.79 + t^5.011 + t^5.042 + t^5.073 + t^5.269 + t^5.293 + t^5.324 + t^5.49 + 2*t^5.521 + t^5.741 + t^5.748 + t^5.773 + t^5.804 + t^5.969 - 2*t^6. - t^3.958/y - t^4.916/y - t^3.958*y - t^4.916*y detail
57299 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ 1.4188 1.5998 0.8868 [X:[1.3902], M:[0.7623], q:[0.4132, 0.5817], qb:[0.5195, 0.656], phi:[0.3049]] t^2.287 + t^2.744 + t^2.798 + t^3.208 + t^3.304 + t^3.713 + t^4.123 + t^4.17 + t^4.218 + t^4.574 + 2*t^4.628 + t^5.031 + t^5.037 + t^5.085 + t^5.133 + t^5.139 + t^5.489 + 2*t^5.543 + t^5.597 + t^5.644 + t^5.952 - 2*t^6. - t^3.915/y - t^4.83/y - t^3.915*y - t^4.83*y detail
57295 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ 1.3271 1.5011 0.8841 [X:[1.4141], M:[0.7323], q:[0.3653, 0.8047], qb:[0.6094, 0.463], phi:[0.2929]] t^2.197 + t^2.485 + t^2.636 + t^2.924 + t^3.364 + t^3.803 + 3*t^4.242 + t^4.394 + 2*t^4.682 + t^4.833 + t^4.97 + 3*t^5.121 + t^5.273 + t^5.409 + 2*t^5.485 + t^5.561 + 2*t^5.848 + 2*t^5.924 - t^6. - t^3.879/y - t^4.758/y - t^3.879*y - t^4.758*y detail
57301 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ 1.4323 1.6302 0.8786 [X:[1.3333], M:[0.8333], q:[0.4167, 0.5833], qb:[0.4167, 0.5833], phi:[0.3333]] 2*t^2.5 + 3*t^3. + t^3.5 + 3*t^4. + 2*t^4.5 + 5*t^5. + 2*t^5.25 + 5*t^5.5 + 2*t^5.75 + 4*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y detail {a: 275/192, c: 313/192, X1: 4/3, M1: 5/6, q1: 5/12, q2: 7/12, qb1: 5/12, qb2: 7/12, phi1: 1/3}
57300 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ 1.4314 1.6163 0.8856 [X:[1.3772], M:[0.7785], q:[0.4449, 0.6249], qb:[0.4651, 0.5966], phi:[0.3114]] t^2.336 + t^2.73 + t^2.803 + t^3.125 + t^3.27 + t^3.664 + t^4.059 + t^4.131 + t^4.204 + 2*t^4.599 + t^4.671 + t^4.993 + t^5.066 + 2*t^5.138 + t^5.46 + t^5.478 + t^5.515 + 2*t^5.533 + t^5.606 + t^5.855 + t^5.909 + t^5.927 - 2*t^6. - t^3.934/y - t^4.869/y - t^3.934*y - t^4.869*y detail
57297 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ 1.4123 1.5819 0.8928 [X:[1.4286], M:[0.7143], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] t^2.143 + t^2.571 + t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 2*t^5.571 + 2*t^5.786 - t^3.857/y - t^4.714/y - t^6./y - t^3.857*y - t^4.714*y - t^6.*y detail {a: 15501/10976, c: 17363/10976, X1: 10/7, M1: 5/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7}


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore 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.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore 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