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
57985 SU3adj1nf2 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ 1.4492 1.6475 0.8796 [X:[1.3791], M:[0.7761, 0.7761], q:[0.4493, 0.6224], qb:[0.4642, 0.6015], phi:[0.3104]] [X:[[0, 4]], M:[[0, -5], [0, -5]], q:[[-1, 19], [-1, 5]], qb:[[1, -12], [1, 0]], phi:[[0, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ ${}$ -3 2*t^2.33 + t^2.74 + t^2.79 + t^3.15 + t^3.26 + t^4.08 + t^4.14 + t^4.19 + 2*t^4.6 + 3*t^4.66 + t^5.02 + 2*t^5.07 + 3*t^5.12 + 2*t^5.48 + t^5.49 + t^5.52 + 2*t^5.53 + 2*t^5.59 + t^5.89 + t^5.93 + t^5.95 - 3*t^6. + t^6.01 + t^6.05 + t^6.3 + t^6.41 + t^6.43 + t^6.45 + 2*t^6.47 + t^6.52 + t^6.82 + t^6.84 + t^6.86 + 2*t^6.88 + 3*t^6.93 + t^6.94 + t^6.97 + 5*t^6.98 + t^7.24 + t^7.29 - t^7.33 + 4*t^7.34 + t^7.36 + t^7.38 + 6*t^7.4 - t^7.41 + 4*t^7.45 + 3*t^7.76 + t^7.8 + 3*t^7.81 + 5*t^7.86 + t^7.88 + 4*t^7.92 + 2*t^8.17 + t^8.21 + 2*t^8.22 + t^8.26 + 5*t^8.27 + t^8.29 + t^8.31 - 4*t^8.33 - t^8.37 + 3*t^8.38 + t^8.4 + 2*t^8.63 + t^8.65 + t^8.67 + 4*t^8.69 + t^8.73 - 2*t^8.74 + t^8.75 + 4*t^8.79 + t^8.81 + 2*t^8.85 - t^8.86 + t^8.79/y^2 - t^3.93/y - t^4.86/y - (2*t^6.26)/y - t^6.67/y - t^6.73/y - t^7.08/y - (3*t^7.19)/y - t^8.02/y + (2*t^8.07)/y + t^8.12/y + (2*t^8.48)/y + t^8.53/y - t^8.59/y + t^8.89/y - t^3.93*y - t^4.86*y - 2*t^6.26*y - t^6.67*y - t^6.73*y - t^7.08*y - 3*t^7.19*y - t^8.02*y + 2*t^8.07*y + t^8.12*y + 2*t^8.48*y + t^8.53*y - t^8.59*y + t^8.89*y + t^8.79*y^2 (2*t^2.33)/g2^5 + g2^7*t^2.74 + t^2.79/g2^6 + g2^19*t^3.15 + t^3.26/g2^7 + g2^17*t^4.08 + g2^4*t^4.14 + t^4.19/g2^9 + 2*g2^3*t^4.6 + (3*t^4.66)/g2^10 + g2^15*t^5.02 + 2*g2^2*t^5.07 + (3*t^5.12)/g2^11 + 2*g2^14*t^5.48 + (g2^41*t^5.49)/g1^3 + (g1^3*t^5.52)/g2^26 + 2*g2*t^5.53 + (2*t^5.59)/g2^12 + g2^26*t^5.89 + (g1^3*t^5.93)/g2^14 + g2^13*t^5.95 - 3*t^6. + (g2^27*t^6.01)/g1^3 + t^6.05/g2^13 + g2^38*t^6.3 + g2^12*t^6.41 + (g2^39*t^6.43)/g1^3 + (g1^3*t^6.45)/g2^28 + (2*t^6.47)/g2 + t^6.52/g2^14 + g2^24*t^6.82 + (g2^51*t^6.84)/g1^3 + (g1^3*t^6.86)/g2^16 + 2*g2^11*t^6.88 + (3*t^6.93)/g2^2 + (g2^25*t^6.94)/g1^3 + (g1^3*t^6.97)/g2^42 + (5*t^6.98)/g2^15 + g2^36*t^7.24 + g2^23*t^7.29 - (g1^3*t^7.33)/g2^17 + 4*g2^10*t^7.34 + (g2^37*t^7.36)/g1^3 + (g1^3*t^7.38)/g2^30 + (6*t^7.4)/g2^3 - (g2^24*t^7.41)/g1^3 + (4*t^7.45)/g2^16 + 3*g2^22*t^7.76 + (g1^3*t^7.8)/g2^18 + 3*g2^9*t^7.81 + (5*t^7.86)/g2^4 + (g2^23*t^7.88)/g1^3 + (4*t^7.92)/g2^17 + 2*g2^34*t^8.17 + (g1^3*t^8.21)/g2^6 + 2*g2^21*t^8.22 + (g1^3*t^8.26)/g2^19 + 5*g2^8*t^8.27 + (g2^35*t^8.29)/g1^3 + (g1^3*t^8.31)/g2^32 - (4*t^8.33)/g2^5 - (g1^3*t^8.37)/g2^45 + (3*t^8.38)/g2^18 + (g2^9*t^8.4)/g1^3 + 2*g2^33*t^8.63 + (g2^60*t^8.65)/g1^3 + (g1^3*t^8.67)/g2^7 + 4*g2^20*t^8.69 + (g1^3*t^8.73)/g2^20 - 2*g2^7*t^8.74 + (g2^34*t^8.75)/g1^3 + (4*t^8.79)/g2^6 + (g2^21*t^8.81)/g1^3 + (2*t^8.85)/g2^19 - (g2^8*t^8.86)/g1^3 + t^8.79/(g2^6*y^2) - t^3.93/(g2^2*y) - t^4.86/(g2^4*y) - (2*t^6.26)/(g2^7*y) - (g2^5*t^6.67)/y - t^6.73/(g2^8*y) - (g2^17*t^7.08)/y - (3*t^7.19)/(g2^9*y) - (g2^15*t^8.02)/y + (2*g2^2*t^8.07)/y + t^8.12/(g2^11*y) + (2*g2^14*t^8.48)/y + (g2*t^8.53)/y - t^8.59/(g2^12*y) + (g2^26*t^8.89)/y - (t^3.93*y)/g2^2 - (t^4.86*y)/g2^4 - (2*t^6.26*y)/g2^7 - g2^5*t^6.67*y - (t^6.73*y)/g2^8 - g2^17*t^7.08*y - (3*t^7.19*y)/g2^9 - g2^15*t^8.02*y + 2*g2^2*t^8.07*y + (t^8.12*y)/g2^11 + 2*g2^14*t^8.48*y + g2*t^8.53*y - (t^8.59*y)/g2^12 + g2^26*t^8.89*y + (t^8.79*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
60949 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ 1.2208 1.414 0.8634 [X:[1.2727, 1.4545], M:[0.9091, 0.9091], q:[0.2121, 0.7576], qb:[0.5152, 0.3333], phi:[0.3636]] t^2.18 + 3*t^2.73 + t^3.27 + 3*t^3.82 + 3*t^4.36 + 2*t^4.64 + 4*t^4.91 + 2*t^5.18 + 6*t^5.45 + 2*t^5.73 + 3*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y detail {a: 12999/10648, c: 1882/1331, X1: 14/11, X2: 16/11, M1: 10/11, M2: 10/11, q1: 7/33, q2: 25/33, qb1: 17/33, qb2: 1/3, phi1: 4/11}


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
57308 SU3adj1nf2 ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ 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