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
45792 SU3adj1nf1 ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ + ${ }M_{1}M_{3}$ 0.8642 0.9336 0.9256 [X:[1.5556, 1.3333, 1.3333], M:[1.1111, 0.8889, 0.8889], q:[0.3333], qb:[0.3333], phi:[0.2222]] [X:[[0], [0], [0]], M:[[0], [0], [0]], q:[[-1]], qb:[[1]], phi:[[0]]] 1 {a: 70/81, c: 605/648, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, M2: 8/9, M3: 8/9, q1: 1/3, qb1: 1/3, phi1: 2/9}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{2}$, ${ }M_{3}$, ${ }X_{2}$, ${ }X_{3}$, ${ }X_{1}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$ ${}$ -2 2*t^2.67 + 2*t^4. + t^4.67 + 2*t^5. + 3*t^5.33 - 2*t^6. + 3*t^6.67 + t^7.33 + 2*t^7.67 + 7*t^8. - 2*t^8.33 - 2*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^6.33/y - t^7./y - t^7.67/y - t^8.33/y - t^3.67*y - t^4.33*y - t^6.33*y - t^7.*y - t^7.67*y - t^8.33*y + t^8.*y^2 2*t^2.67 + 2*t^4. + t^4.67 + t^5./g1^3 + g1^3*t^5. + 3*t^5.33 - 2*t^6. + 3*t^6.67 + t^7.33 + t^7.67/g1^3 + g1^3*t^7.67 + 7*t^8. - t^8.33/g1^3 - g1^3*t^8.33 - 2*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^6.33/y - t^7./y - t^7.67/y - t^8.33/y - t^3.67*y - t^4.33*y - t^6.33*y - t^7.*y - t^7.67*y - t^8.33*y + t^8.*y^2


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
45794 ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ 0.8225 0.892 0.9221 [X:[1.5556, 1.3333, 1.3333], M:[1.1111, 0.8889, 0.8889], q:[0.2222], qb:[0.4444], phi:[0.2222]] 2*t^2.67 + 3*t^4. + t^4.67 + 3*t^5.33 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y detail {a: 533/648, c: 289/324, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, M2: 8/9, M3: 8/9, q1: 2/9, qb1: 4/9, phi1: 2/9}


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
60592 SU3adj1nf2 ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ 0.8642 0.9336 0.9256 [X:[1.5556, 1.3333, 1.3333], M:[0.8889], q:[0.3333, 0.5556], qb:[1.4444, 0.3333], phi:[0.2222]] 2*t^2.67 + 2*t^4. + t^4.67 + 2*t^5. + 3*t^5.33 - 2*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y detail {a: 70/81, c: 605/648, X1: 14/9, X2: 4/3, X3: 4/3, M1: 8/9, q1: 1/3, q2: 5/9, qb1: 13/9, qb2: 1/3, phi1: 2/9}


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
45784 SU3adj1nf1 ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ 0.8542 0.9167 0.9318 [X:[1.5556, 1.3333, 1.3333], M:[1.1111, 0.8889], q:[0.3333], qb:[0.3333], phi:[0.2222]] t^2.67 + t^3.33 + 2*t^4. + t^4.67 + 2*t^5. + t^5.33 - t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y detail {a: 41/48, c: 11/12, X1: 14/9, X2: 4/3, X3: 4/3, M1: 10/9, M2: 8/9, q1: 1/3, qb1: 1/3, phi1: 2/9}