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
58461 SU3adj1nf2 ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{3}X_{1}$ 1.3555 1.5718 0.8624 [X:[1.2697, 1.3651], M:[0.8257, 1.0, 0.7303], q:[0.5872, 0.3174], qb:[0.5872, 0.3174], phi:[0.3651]] [X:[[0, 0, -2], [0, 0, 1]], M:[[0, 0, 5], [0, 0, 0], [0, 0, 2]], q:[[-1, 0, -5], [0, -1, -1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, 1]]] 3
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ ${}M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ 1 t^2.19 + t^2.48 + 2*t^2.71 + t^3. + t^3.29 + 2*t^3.81 + 2*t^4.1 + t^4.38 + t^4.62 + t^4.67 + 2*t^4.76 + 4*t^4.9 + t^4.95 + t^5.19 + 3*t^5.43 + 2*t^5.48 + 2*t^5.57 + 3*t^5.71 + t^5.76 + 2*t^5.86 + t^6. + 2*t^6.14 + 3*t^6.29 + 4*t^6.52 + 4*t^6.57 + 2*t^6.67 + 4*t^6.81 + t^6.86 + 2*t^6.95 + 6*t^7.1 + t^7.14 + 2*t^7.33 + 3*t^7.38 + t^7.43 + 4*t^7.48 + 8*t^7.62 + 2*t^7.67 + 4*t^7.76 + 6*t^7.9 + 2*t^7.95 + 4*t^8.14 + 5*t^8.19 + t^8.24 + 4*t^8.28 + 2*t^8.33 + 6*t^8.43 + t^8.48 + 8*t^8.57 + 2*t^8.62 + 5*t^8.71 + 5*t^8.76 + 4*t^8.86 - t^4.1/y - t^5.19/y - t^6.29/y - t^6.57/y - (2*t^6.81)/y - (2*t^7.38)/y + t^7.9/y + t^8.19/y + t^8.43/y + (2*t^8.71)/y - t^4.1*y - t^5.19*y - t^6.29*y - t^6.57*y - 2*t^6.81*y - 2*t^7.38*y + t^7.9*y + t^8.19*y + t^8.43*y + 2*t^8.71*y g3^2*t^2.19 + g3^5*t^2.48 + (g2*t^2.71)/(g1*g3^5) + (g1*t^2.71)/(g2*g3) + t^3. + g3^3*t^3.29 + (g1*t^3.81)/g2 + (g2*t^3.81)/(g1*g3^4) + 2*g3*t^4.1 + g3^4*t^4.38 + t^4.62/g3^4 + g3^7*t^4.67 + t^4.76/(g1*g2^2*g3^6) + g1*g2^2*g3*t^4.76 + (2*g2*t^4.9)/(g1*g3^3) + (2*g1*g3*t^4.9)/g2 + g3^10*t^4.95 + g3^2*t^5.19 + (g2^2*t^5.43)/(g1^2*g3^10) + t^5.43/g3^6 + (g1^2*t^5.43)/(g2^2*g3^2) + 2*g3^5*t^5.48 + t^5.57/(g1^2*g2*g3^10) + g1^2*g2*g3*t^5.57 + (g2*t^5.71)/(g1*g3^5) + t^5.71/g3^3 + (g1*t^5.71)/(g2*g3) + g3^8*t^5.76 + t^5.86/(g1*g2^2*g3^5) + g1*g2^2*g3^2*t^5.86 - 3*t^6. + (2*g2*t^6.)/(g1*g3^2) + (2*g1*g3^2*t^6.)/g2 + t^6.14/g2^3 + g2^3*g3^3*t^6.14 + 3*g3^3*t^6.29 + (g2^2*t^6.52)/(g1^2*g3^9) + (2*t^6.52)/g3^5 + (g1^2*t^6.52)/(g2^2*g3) + 4*g3^6*t^6.57 + t^6.67/(g1^2*g2*g3^9) + g1^2*g2*g3^2*t^6.67 + (2*g1*t^6.81)/g2 + (2*g2*t^6.81)/(g1*g3^4) + g3^9*t^6.86 - t^6.95/(g1^2*g2*g3^6) + (2*t^6.95)/(g1*g2^2*g3^4) + 2*g1*g2^2*g3^3*t^6.95 - g1^2*g2*g3^5*t^6.95 + (3*g2*t^7.1)/(g1*g3) + (3*g1*g3^3*t^7.1)/g2 + g3^12*t^7.14 + (g2*t^7.33)/(g1*g3^9) + (g1*t^7.33)/(g2*g3^5) + 3*g3^4*t^7.38 + g3^15*t^7.43 + g1^2*g2*t^7.48 + t^7.48/(g1^2*g2*g3^11) + t^7.48/(g2^3*g3^7) + (g2^3*t^7.48)/g3^4 + (3*g1^2*t^7.62)/g2^2 + (3*g2^2*t^7.62)/(g1^2*g3^8) - (g2*t^7.62)/(g1*g3^6) + (4*t^7.62)/g3^4 - (g1*t^7.62)/(g2*g3^2) + 2*g3^7*t^7.67 + (2*t^7.76)/(g1^2*g2*g3^8) + 2*g1^2*g2*g3^3*t^7.76 + (3*g2*t^7.9)/(g1*g3^3) + (3*g1*g3*t^7.9)/g2 + 2*g3^10*t^7.95 - t^8.05/(g1^2*g2*g3^5) + (2*t^8.05)/(g1*g2^2*g3^3) - t^8.05/(g2^3*g3) - g2^3*g3^2*t^8.05 + 2*g1*g2^2*g3^4*t^8.05 - g1^2*g2*g3^6*t^8.05 + (g2^3*t^8.14)/(g1^3*g3^15) + (g2*t^8.14)/(g1*g3^11) + (g1*t^8.14)/(g2*g3^7) + (g1^3*t^8.14)/(g2^3*g3^3) + (3*g2*t^8.19)/g1 - g3^2*t^8.19 + (3*g1*g3^4*t^8.19)/g2 + g3^13*t^8.24 + g1^3*t^8.28 + t^8.28/(g1^3*g3^15) + t^8.28/(g1*g2^2*g3^11) + (g1*g2^2*t^8.28)/g3^4 + (g3^2*t^8.33)/g2^3 + g2^3*g3^5*t^8.33 + (g2^2*t^8.43)/(g1^2*g3^10) + (2*g2*t^8.43)/(g1*g3^8) + (2*g1*t^8.43)/(g2*g3^4) + (g1^2*t^8.43)/(g2^2*g3^2) + g3^5*t^8.48 + t^8.57/(g1^3*g3^12) + (2*t^8.57)/(g1^2*g2*g3^10) - t^8.57/(g1*g2^2*g3^8) + (2*t^8.57)/(g2^3*g3^6) + (2*g2^3*t^8.57)/g3^3 - (g1*g2^2*t^8.57)/g3 + 2*g1^2*g2*g3*t^8.57 + g1^3*g3^3*t^8.57 + (g3^5*t^8.62)/g2^3 + g2^3*g3^8*t^8.62 + (3*g2^2*t^8.71)/(g1^2*g3^7) - (4*g2*t^8.71)/(g1*g3^5) + (7*t^8.71)/g3^3 - (4*g1*t^8.71)/(g2*g3) + (3*g1^2*g3*t^8.71)/g2^2 + 5*g3^8*t^8.76 - g2^3*t^8.86 - t^8.86/(g1^3*g3^9) + (2*t^8.86)/(g1^2*g2*g3^7) + t^8.86/(g1*g2^2*g3^5) - t^8.86/(g2^3*g3^3) + (g2^4*t^8.86)/(g1*g3^2) + (g1*t^8.86)/(g2^4*g3) + g1*g2^2*g3^2*t^8.86 + 2*g1^2*g2*g3^4*t^8.86 - g1^3*g3^6*t^8.86 - (g3*t^4.1)/y - (g3^2*t^5.19)/y - (g3^3*t^6.29)/y - (g3^6*t^6.57)/y - (g1*t^6.81)/(g2*y) - (g2*t^6.81)/(g1*g3^4*y) - (2*g3^4*t^7.38)/y + t^7.9/(g3*y) + (g2*t^8.19)/(g1*y) - (g3^2*t^8.19)/y + (g1*g3^4*t^8.19)/(g2*y) + t^8.43/(g3^6*y) + (g2*t^8.71)/(g1*g3^5*y) + (g1*t^8.71)/(g2*g3*y) - g3*t^4.1*y - g3^2*t^5.19*y - g3^3*t^6.29*y - g3^6*t^6.57*y - (g1*t^6.81*y)/g2 - (g2*t^6.81*y)/(g1*g3^4) - 2*g3^4*t^7.38*y + (t^7.9*y)/g3 + (g2*t^8.19*y)/g1 - g3^2*t^8.19*y + (g1*g3^4*t^8.19*y)/g2 + (t^8.43*y)/g3^6 + (g2*t^8.71*y)/(g1*g3^5) + (g1*t^8.71*y)/(g2*g3)


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


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
57369 SU3adj1nf2 ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ 1.3358 1.5358 0.8698 [X:[1.2666, 1.3667], M:[0.8335, 1.0], q:[0.5832, 0.3166], qb:[0.5832, 0.3166], phi:[0.3667]] t^2.501 + 2*t^2.7 + t^3. + t^3.3 + 3*t^3.8 + 2*t^4.1 + t^4.6 + 2*t^4.75 + 2*t^4.9 + t^5.001 + 3*t^5.399 + t^5.501 + 2*t^5.55 + 3*t^5.7 + t^5.801 + 2*t^5.85 - t^6. - t^4.1/y - t^5.2/y - t^4.1*y - t^5.2*y detail