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
47896 SU3adj1nf2 $\phi_1^4$ + $ q_1\tilde{q}_1X_1$ + $ q_2\tilde{q}_1X_2$ + $ q_1\tilde{q}_2X_3$ + $ q_2\tilde{q}_2X_4$ + $ \phi_1^2q_1^2q_2$ 0.9308 1.1183 0.8323 [X:[1.4226, 1.5774, 1.4226, 1.5774], M:[], q:[0.3849, 0.2302], qb:[0.1925, 0.1925], phi:[0.5]] [X:[[0, -3], [-3, 0], [3, 0], [0, 3]], M:[], q:[[-1, 1], [2, -2]], qb:[[1, 2], [-2, -1]], phi:[[0, 0]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1q_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ X_3$, $ \phi_1^2q_2\tilde{q}_2$, $ X_1$, $ \phi_1^3$, $ \phi_1q_1^2q_2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2^2$, $ X_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1^2\tilde{q}_2$, $ X_4$, $ \phi_1^2q_2^2\tilde{q}_1^2$, $ \phi_1^2q_2^2\tilde{q}_2^2$, $ \phi_1^2q_1q_2^2$, $ \phi_1^2q_2^2\tilde{q}_1\tilde{q}_2$ $\phi_1^2q_1q_2\tilde{q}_1^2$, $ \phi_1^2q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1^3\tilde{q}_2$, $ \phi_1^2q_1q_2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1\tilde{q}_2^3$ 1 2*t^2.77 + t^3. + 4*t^3.23 + t^4.04 + 4*t^4.27 + 2*t^4.5 + 6*t^4.73 + 3*t^5.54 + t^6. + 4*t^6.23 + 7*t^6.46 + t^6.57 + 2*t^6.8 + 8*t^7.04 + 4*t^7.27 + 16*t^7.5 + 4*t^7.73 + 16*t^7.96 + 4*t^8.3 + 8*t^8.54 - 2*t^8.77 - t^4.5/y - t^6./y + t^7.5/y + t^8.54/y - (2*t^8.77)/y - t^4.5*y - t^6.*y + t^7.5*y + t^8.54*y - 2*t^8.77*y g1^3*t^2.77 + t^2.77/g2^3 + t^3. + (2*t^3.23)/g1^3 + 2*g2^3*t^3.23 + (g1^3*t^4.04)/g2^3 + 2*g1^3*t^4.27 + (2*t^4.27)/g2^3 + 2*t^4.5 + (3*t^4.73)/g1^3 + 3*g2^3*t^4.73 + g1^6*t^5.54 + t^5.54/g2^6 + (g1^3*t^5.54)/g2^3 - t^6. + t^6./(g1^3*g2^3) + g1^3*g2^3*t^6. + t^6.23/g1^3 + t^6.23/(g1^6*g2^3) + g2^3*t^6.23 + g1^3*g2^6*t^6.23 + (3*t^6.46)/g1^6 + (g2^3*t^6.46)/g1^3 + 3*g2^6*t^6.46 + (g1^6*t^6.57)/g2^6 + (g1^3*t^6.8)/g2^6 + (g1^6*t^6.8)/g2^3 + 2*g1^6*t^7.04 + (2*t^7.04)/g2^6 + (4*g1^3*t^7.04)/g2^3 + 2*g1^3*t^7.27 + (2*t^7.27)/g2^3 + 8*t^7.5 + (4*t^7.5)/(g1^3*g2^3) + 4*g1^3*g2^3*t^7.5 + (3*t^7.73)/g1^3 - t^7.73/(g1^6*g2^3) + 3*g2^3*t^7.73 - g1^3*g2^6*t^7.73 + (4*t^7.96)/g1^6 + (8*g2^3*t^7.96)/g1^3 + 4*g2^6*t^7.96 + g1^9*t^8.3 + t^8.3/g2^9 + (g1^3*t^8.3)/g2^6 + (g1^6*t^8.3)/g2^3 + 3*g1^6*t^8.54 + (3*t^8.54)/g2^6 + (2*g1^3*t^8.54)/g2^3 - 2*g1^3*t^8.77 + t^8.77/(g1^3*g2^6) - (2*t^8.77)/g2^3 + g1^6*g2^3*t^8.77 - t^4.5/y - t^6./y + t^7.5/y + (g1^3*t^8.54)/(g2^3*y) - (g1^3*t^8.77)/y - t^8.77/(g2^3*y) - t^4.5*y - t^6.*y + t^7.5*y + (g1^3*t^8.54*y)/g2^3 - g1^3*t^8.77*y - (t^8.77*y)/g2^3


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


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
47877 SU3adj1nf2 $\phi_1^4$ + $ q_1\tilde{q}_1X_1$ + $ q_2\tilde{q}_1X_2$ + $ q_1\tilde{q}_2X_3$ + $ q_2\tilde{q}_2X_4$ 0.9668 1.1543 0.8376 [X:[1.5, 1.5, 1.5, 1.5], M:[], q:[0.25, 0.25], qb:[0.25, 0.25], phi:[0.5]] 5*t^3. + 4*t^3.75 + 9*t^4.5 + 4*t^5.25 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y detail {a: 495/512, c: 591/512, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, q1: 1/4, q2: 1/4, qb1: 1/4, qb2: 1/4, phi1: 1/2}