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
57299 SU3adj1nf2 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ 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]] [X:[[0, 4]], M:[[0, -5]], q:[[1, 6], [-2, 5]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ ${}$ -2 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^6.006 + t^6.048 + t^6.054 + t^6.102 + t^6.416 + 2*t^6.457 + t^6.464 - t^6.505 + 2*t^6.511 + t^6.559 + t^6.607 + t^6.861 + t^6.867 + t^6.915 + 2*t^6.921 + t^6.963 + 2*t^6.969 + t^7.017 + t^7.318 + t^7.331 + 3*t^7.372 + t^7.378 + 4*t^7.426 + 2*t^7.474 + t^7.522 + t^7.776 + t^7.83 + 3*t^7.836 + t^7.877 + 2*t^7.884 + 3*t^7.931 + t^7.938 + t^7.979 + t^8.233 + 2*t^8.245 - t^8.287 - t^8.335 + 5*t^8.341 + t^8.347 + t^8.389 + t^8.395 + t^8.437 + 2*t^8.443 + t^8.649 + 5*t^8.75 - 2*t^8.798 + t^8.804 + 3*t^8.846 + 3*t^8.852 + t^8.9 + t^8.948 + t^8.744/y^2 - t^3.915/y - t^4.83/y - t^6.202/y - t^6.659/y - t^6.713/y - t^7.116/y - t^7.123/y - t^7.218/y - t^7.574/y - t^7.628/y + t^8.031/y - t^8.037/y + t^8.085/y - t^8.133/y - t^8.489/y + t^8.495/y + t^8.59/y - t^8.946/y - t^3.915*y - t^4.83*y - t^6.202*y - t^6.659*y - t^6.713*y - t^7.116*y - t^7.123*y - t^7.218*y - t^7.574*y - t^7.628*y + t^8.031*y - t^8.037*y + t^8.085*y - t^8.133*y - t^8.489*y + t^8.495*y + t^8.59*y - t^8.946*y + t^8.744*y^2 t^2.287/g2^5 + t^2.744/g2^6 + g2^7*t^2.798 + g1^3*g2^6*t^3.208 + (g2^6*t^3.304)/g1^3 + g2^5*t^3.713 + g1^3*g2^4*t^4.123 + g2^4*t^4.17 + (g2^4*t^4.218)/g1^3 + t^4.574/g2^10 + 2*g2^3*t^4.628 + t^5.031/g2^11 + g1^3*g2^2*t^5.037 + g2^2*t^5.085 + (g2^2*t^5.133)/g1^3 + g2^15*t^5.139 + t^5.489/g2^12 + 2*g2*t^5.543 + g2^14*t^5.597 + (g2^14*t^5.644)/g1^3 + g1^3*t^5.952 - 2*t^6. + g1^3*g2^13*t^6.006 + t^6.048/g1^3 + g2^13*t^6.054 + (g2^13*t^6.102)/g1^3 + g1^6*g2^12*t^6.416 + (2*t^6.457)/g2 + g1^3*g2^12*t^6.464 - t^6.505/(g1^3*g2) + 2*g2^12*t^6.511 + (g2^12*t^6.559)/g1^3 + (g2^12*t^6.607)/g1^6 + t^6.861/g2^15 + (g1^3*t^6.867)/g2^2 + t^6.915/g2^2 + 2*g1^3*g2^11*t^6.921 + t^6.963/(g1^3*g2^2) + 2*g2^11*t^6.969 + (g2^11*t^7.017)/g1^3 + t^7.318/g2^16 + g1^6*g2^10*t^7.331 + (3*t^7.372)/g2^3 + g1^3*g2^10*t^7.378 + 4*g2^10*t^7.426 + (2*g2^10*t^7.474)/g1^3 + (g2^10*t^7.522)/g1^6 + t^7.776/g2^17 + t^7.83/g2^4 + 3*g1^3*g2^9*t^7.836 + t^7.877/(g1^3*g2^4) + 2*g2^9*t^7.884 + (3*g2^9*t^7.931)/g1^3 + g2^22*t^7.938 + (g2^9*t^7.979)/g1^6 + t^8.233/g2^18 + 2*g1^6*g2^8*t^8.245 - t^8.287/g2^5 - t^8.335/(g1^3*g2^5) + 5*g2^8*t^8.341 + g1^3*g2^21*t^8.347 + (g2^8*t^8.389)/g1^3 + g2^21*t^8.395 + (g2^8*t^8.437)/g1^6 + (2*g2^21*t^8.443)/g1^3 + (g1^6*t^8.649)/g2^6 + 5*g1^3*g2^7*t^8.75 - 2*g2^7*t^8.798 + g1^3*g2^20*t^8.804 + (3*g2^7*t^8.846)/g1^3 + 3*g2^20*t^8.852 + (g2^20*t^8.9)/g1^3 + (g2^20*t^8.948)/g1^6 + t^8.744/(g2^6*y^2) - t^3.915/(g2^2*y) - t^4.83/(g2^4*y) - t^6.202/(g2^7*y) - t^6.659/(g2^8*y) - (g2^5*t^6.713)/y - t^7.116/(g2^9*y) - (g1^3*g2^4*t^7.123)/y - (g2^4*t^7.218)/(g1^3*y) - t^7.574/(g2^10*y) - (g2^3*t^7.628)/y + t^8.031/(g2^11*y) - (g1^3*g2^2*t^8.037)/y + (g2^2*t^8.085)/y - (g2^2*t^8.133)/(g1^3*y) - t^8.489/(g2^12*y) + (g1^3*g2*t^8.495)/y + (g2*t^8.59)/(g1^3*y) - t^8.946/(g2^13*y) - (t^3.915*y)/g2^2 - (t^4.83*y)/g2^4 - (t^6.202*y)/g2^7 - (t^6.659*y)/g2^8 - g2^5*t^6.713*y - (t^7.116*y)/g2^9 - g1^3*g2^4*t^7.123*y - (g2^4*t^7.218*y)/g1^3 - (t^7.574*y)/g2^10 - g2^3*t^7.628*y + (t^8.031*y)/g2^11 - g1^3*g2^2*t^8.037*y + g2^2*t^8.085*y - (g2^2*t^8.133*y)/g1^3 - (t^8.489*y)/g2^12 + g1^3*g2*t^8.495*y + (g2*t^8.59*y)/g1^3 - (t^8.946*y)/g2^13 + (t^8.744*y^2)/g2^6


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
57995 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ 1.0852 1.2084 0.8981 [X:[1.5049, 1.3811], M:[0.6189], q:[0.4257, 1.0445], qb:[0.7079, 0.3366], phi:[0.2475]] t^2.23 + t^2.29 + t^3.03 + t^3.4 + t^3.77 + t^4.14 + t^4.46 + 2*t^4.51 + t^4.57 + t^4.89 + 3*t^5.26 + t^5.32 + t^5.69 - 2*t^6. - t^3.74/y - t^4.49/y - t^5.97/y - t^3.74*y - t^4.49*y - t^5.97*y detail
57998 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ 1.4185 1.5993 0.8869 [X:[1.3908], M:[0.7615], q:[0.4195, 0.5718], qb:[0.5144, 0.6667], phi:[0.3046]] t^2.28 + t^2.74 + t^2.8 + 2*t^3.26 + t^3.72 + 3*t^4.17 + t^4.57 + 2*t^4.63 + t^5.03 + 3*t^5.09 + t^5.15 + t^5.48 + 2*t^5.54 + 2*t^5.6 - t^3.91/y - t^4.83/y - t^3.91*y - t^4.83*y detail
57997 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$ 1.3981 1.596 0.876 [X:[1.3333], M:[0.8333], q:[0.3241, 0.5185], qb:[0.5093, 0.6481], phi:[0.3333]] 2*t^2.5 + t^2.92 + t^3. + t^3.08 + t^3.5 + t^3.92 + t^4. + t^4.08 + 3*t^4.5 + t^4.92 + 3*t^5. + 2*t^5.08 + t^5.42 + 4*t^5.5 + t^5.58 + t^5.83 + 2*t^5.92 + t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y detail {a: 4295/3072, c: 4903/3072, X1: 4/3, M1: 5/6, q1: 35/108, q2: 14/27, qb1: 55/108, qb2: 35/54, phi1: 1/3}
57993 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{3}X_{3}$ 0.9043 0.96 0.942 [X:[1.6146, 1.5182, 1.4219], M:[0.4818], q:[0.9479, 0.4661], qb:[0.3776, 1.0521], phi:[0.1927]] t^2.53 + t^3.11 + t^3.69 + t^4.27 + t^4.84 + t^5.06 + t^5.13 + t^5.64 + t^5.93 - 2*t^6. - t^3.58/y - t^4.16/y - t^3.58*y - t^4.16*y detail


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
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]] 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. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y detail