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
47881 SU3adj1nf2 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ 1.3224 1.4876 0.8889 [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] [X:[[0, 0, 2]], M:[[0, 0, 3]], q:[[-1, 0, 2], [0, -1, 4]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ ${}$ -5 t^2.285 + 4*t^3.214 + 5*t^4.143 + t^4.57 + t^5.071 + 2*t^5.285 + 4*t^5.499 - 5*t^6. + 6*t^6.214 + 15*t^6.428 + t^6.856 - 7*t^6.929 + 20*t^7.357 + 2*t^7.57 + 4*t^7.784 - 3*t^7.857 - 8*t^8.071 + 10*t^8.285 + 14*t^8.499 + 15*t^8.713 + 2*t^8.786 + t^8.786/y^2 - t^3.929/y - t^4.857/y - t^6.214/y - (4*t^7.143)/y - (5*t^8.071)/y + (3*t^8.499)/y - t^3.929*y - t^4.857*y - t^6.214*y - 4*t^7.143*y - 5*t^8.071*y + 3*t^8.499*y + t^8.786*y^2 g3^4*t^2.285 + (g2*g3^2*t^3.214)/g1 + 2*g3^3*t^3.214 + (g1*g3^4*t^3.214)/g2 + (g2*g3*t^4.143)/g1 + 3*g3^2*t^4.143 + (g1*g3^3*t^4.143)/g2 + g3^8*t^4.57 + g3*t^5.071 + (g1*g2^2*t^5.285)/g3 + (g3^9*t^5.285)/(g1*g2^2) + (g2*g3^6*t^5.499)/g1 + 2*g3^7*t^5.499 + (g1*g3^8*t^5.499)/g2 - 3*t^6. - (g2*t^6.)/(g1*g3) - (g1*g3*t^6.)/g2 + (g2^3*t^6.214)/g3^3 + (g1*g2^2*t^6.214)/g3^2 + (g1^2*g2*t^6.214)/g3 + (g3^7*t^6.214)/(g1^2*g2) + (g3^8*t^6.214)/(g1*g2^2) + (g3^9*t^6.214)/g2^3 + (g2^2*g3^4*t^6.428)/g1^2 + (3*g2*g3^5*t^6.428)/g1 + 7*g3^6*t^6.428 + (3*g1*g3^7*t^6.428)/g2 + (g1^2*g3^8*t^6.428)/g2^2 + g3^12*t^6.856 - (2*g1*t^6.929)/g2 - (2*g2*t^6.929)/(g1*g3^2) - (3*t^6.929)/g3 + (g2^2*g3^3*t^7.357)/g1^2 + (5*g2*g3^4*t^7.357)/g1 + 8*g3^5*t^7.357 + (5*g1*g3^6*t^7.357)/g2 + (g1^2*g3^7*t^7.357)/g2^2 + g1*g2^2*g3^3*t^7.57 + (g3^13*t^7.57)/(g1*g2^2) + (g2*g3^10*t^7.784)/g1 + 2*g3^11*t^7.784 + (g1*g3^12*t^7.784)/g2 - (g2*t^7.857)/(g1*g3^3) - t^7.857/g3^2 - (g1*t^7.857)/(g2*g3) - (g2^3*t^8.071)/g3^5 - (2*g1*g2^2*t^8.071)/g3^4 - (g1^2*g2*t^8.071)/g3^3 - (g3^5*t^8.071)/(g1^2*g2) - (2*g3^6*t^8.071)/(g1*g2^2) - (g3^7*t^8.071)/g2^3 + (g2^2*g3^2*t^8.285)/g1^2 + (2*g2*g3^3*t^8.285)/g1 + 4*g3^4*t^8.285 + (2*g1*g3^5*t^8.285)/g2 + (g1^2*g3^6*t^8.285)/g2^2 + 2*g2^3*g3*t^8.499 + 3*g1*g2^2*g3^2*t^8.499 + 2*g1^2*g2*g3^3*t^8.499 + (2*g3^11*t^8.499)/(g1^2*g2) + (3*g3^12*t^8.499)/(g1*g2^2) + (2*g3^13*t^8.499)/g2^3 + (g2^2*g3^8*t^8.713)/g1^2 + (3*g2*g3^9*t^8.713)/g1 + 7*g3^10*t^8.713 + (3*g1*g3^11*t^8.713)/g2 + (g1^2*g3^12*t^8.713)/g2^2 + (2*t^8.786)/g3^3 + t^8.786/(g3^3*y^2) - t^3.929/(g3*y) - t^4.857/(g3^2*y) - (g3^3*t^6.214)/y - (g2*g3*t^7.143)/(g1*y) - (2*g3^2*t^7.143)/y - (g1*g3^3*t^7.143)/(g2*y) - (g2*t^8.071)/(g1*y) - (3*g3*t^8.071)/y - (g1*g3^2*t^8.071)/(g2*y) + (g2*g3^6*t^8.499)/(g1*y) + (g3^7*t^8.499)/y + (g1*g3^8*t^8.499)/(g2*y) - (t^3.929*y)/g3 - (t^4.857*y)/g3^2 - g3^3*t^6.214*y - (g2*g3*t^7.143*y)/g1 - 2*g3^2*t^7.143*y - (g1*g3^3*t^7.143*y)/g2 - (g2*t^8.071*y)/g1 - 3*g3*t^8.071*y - (g1*g3^2*t^8.071*y)/g2 + (g2*g3^6*t^8.499*y)/g1 + g3^7*t^8.499*y + (g1*g3^8*t^8.499*y)/g2 + (t^8.786*y^2)/g3^3


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
57277 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ 1.313 1.4559 0.9019 [X:[1.4286], M:[1.1429], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]] t^2.571 + 4*t^3.429 + 5*t^4.286 + 2*t^5.143 + 2*t^5.571 - t^6. - t^3.857/y - t^4.714/y - t^3.857*y - t^4.714*y detail {a: 3603/2744, c: 3995/2744, X1: 10/7, M1: 8/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7}
57285 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ 1.3317 1.4983 0.8888 [X:[1.3954], M:[1.0931, 0.8682], q:[0.7235, 0.3825], qb:[0.6719, 0.4083], phi:[0.3023]] t^2.372 + t^2.604 + t^3.163 + 2*t^3.279 + t^4.07 + 3*t^4.186 + t^4.302 + t^4.745 + t^4.977 + t^5.093 + t^5.209 + 2*t^5.372 + t^5.535 + 2*t^5.652 + t^5.767 + t^5.884 - 3*t^6. - t^3.907/y - t^4.814/y - t^3.907*y - t^4.814*y detail
57282 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ 1.3045 1.4502 0.8995 [X:[1.3943], M:[1.0914, 1.2114], q:[0.6971, 0.3943], qb:[0.6971, 0.3943], phi:[0.3029]] 4*t^3.274 + t^3.634 + 5*t^4.183 + t^5.091 + 2*t^5.366 - 5*t^6. - t^3.909/y - t^4.817/y - t^3.909*y - t^4.817*y detail
57331 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ 1.0625 1.1558 0.9193 [X:[1.5343], M:[1.3014], q:[1.0776, 0.379], qb:[0.4566, 0.6895], phi:[0.2329]] t^2.507 + 2*t^3.206 + 2*t^3.904 + 2*t^4.603 + t^5.014 + 2*t^5.507 + 2*t^5.713 - 3*t^6. - t^3.699/y - t^4.397/y - t^3.699*y - t^4.397*y detail
57275 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ 1.3035 1.4498 0.8991 [X:[1.4213], M:[1.1319], q:[0.6582, 0.3688], qb:[0.7631, 0.4738], phi:[0.2894]] t^2.528 + 4*t^3.396 + 5*t^4.264 + 2*t^5.055 + t^5.132 + 7*t^5.924 - 4*t^6. - t^3.868/y - t^4.736/y - t^3.868*y - t^4.736*y detail
57276 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ 1.3154 1.4638 0.8986 [X:[1.4166], M:[1.1249], q:[0.7362, 0.4026], qb:[0.6804, 0.4306], phi:[0.2917]] t^2.5 + t^3.249 + 2*t^3.375 + t^3.5 + t^4.124 + 3*t^4.25 + t^4.375 + t^4.999 + t^5.125 + 2*t^5.5 + t^5.749 + t^5.874 - 2*t^6. - t^3.875/y - t^4.75/y - t^3.875*y - t^4.75*y detail
57272 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ 1.2671 1.3765 0.9205 [X:[1.5], M:[1.25], q:[0.75, 0.5], qb:[0.75, 0.5], phi:[0.25]] t^3. + 4*t^3.75 + 5*t^4.5 + t^5.25 - 2*t^6. - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y detail {a: 2595/2048, c: 2819/2048, X1: 3/2, M1: 5/4, q1: 3/4, q2: 1/2, qb1: 3/4, qb2: 1/2, phi1: 1/4}


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
47872 SU3adj1nf2 ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ 1.33 1.4939 0.8903 [X:[1.3964], q:[0.6982, 0.3964], qb:[0.6982, 0.3964], phi:[0.3018]] t^2.378 + t^2.716 + 3*t^3.284 + 5*t^4.189 + t^4.757 + 2*t^5.095 + 2*t^5.378 + t^5.433 + 3*t^5.662 - 2*t^6. - t^3.905/y - t^4.811/y - t^3.905*y - t^4.811*y detail