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
8637 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1^2$ + $ M_2\phi_1^3q_2^2$ + $ M_3\phi_1^3q_1q_2$ 1.0386 1.2417 0.8364 [X:[1.5, 1.5], M:[0.75, 0.75, 0.75], q:[0.25, 0.25], qb:[], phi:[0.25]] [X:[[0], [0]], M:[[2], [-2], [0]], q:[[-1], [1]], qb:[], phi:[[0]]] 1 {a: 2127/2048, c: 2543/2048, X1: 3/2, X2: 3/2, M1: 3/4, M2: 3/4, M3: 3/4, q1: 1/4, q2: 1/4, phi1: 1/4}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_1^2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ M_1\phi_1q_1^2$, $ M_2\phi_1q_1^2$, $ M_3\phi_1q_1^2$, $ \phi_1^2q_1^4$, $ M_1\phi_1q_1q_2$, $ M_2\phi_1q_1q_2$, $ M_3\phi_1q_1q_2$, $ \phi_1^2q_1^3q_2$, $ M_1\phi_1q_2^2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ \phi_1^2q_1^2q_2^2$, $ \phi_1^2q_1q_2^3$, $ \phi_1^2q_2^4$, $ X_1$, $ X_2$, $ M_2^2$, $ M_2\phi_1q_1^2$, $ \phi_1^2q_1^4$, $ M_2M_3$, $ M_3\phi_1q_1^2$, $ M_2\phi_1q_1q_2$, $ \phi_1^2q_1^3q_2$, $ M_1M_3$, $ M_1\phi_1q_1q_2$, $ M_3\phi_1q_2^2$, $ \phi_1^2q_1q_2^3$, $ M_1^2$, $ M_1\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ M_3\phi_1^4$, $ \phi_1^5q_1^2$, $ M_1\phi_1^2q_1q_2$, $ M_2\phi_1^2q_1q_2$, $ M_3\phi_1^2q_1q_2$, $ \phi_1^5q_1q_2$, $ \phi_1^3q_1^3q_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1^2q_2^2$, $ \phi_1^3q_1q_2^3$, $ M_2\phi_1^4$, $ \phi_1^5q_1^2$, $ M_2\phi_1^2q_1q_2$, $ \phi_1^3q_1^3q_2$, $ M_1\phi_1^4$, $ M_1\phi_1^2q_1q_2$, $ \phi_1^5q_2^2$, $ \phi_1^3q_1q_2^3$ $\phi_1^6q_1q_2$ -2 6*t^2.25 + 2*t^3. + 23*t^4.5 + 12*t^5.25 - 2*t^6. + 62*t^6.75 + 41*t^7.5 - 18*t^8.25 - t^3.75/y - t^5.25/y - (6*t^6.)/y - t^6.75/y + (12*t^7.5)/y - (10*t^8.25)/y - t^3.75*y - t^5.25*y - 6*t^6.*y - t^6.75*y + 12*t^7.5*y - 10*t^8.25*y 2*t^2.25 + (2*t^2.25)/g1^2 + 2*g1^2*t^2.25 + 2*t^3. + 9*t^4.5 + (3*t^4.5)/g1^4 + (4*t^4.5)/g1^2 + 4*g1^2*t^4.5 + 3*g1^4*t^4.5 + 4*t^5.25 + (4*t^5.25)/g1^2 + 4*g1^2*t^5.25 - t^6./g1^2 - g1^2*t^6. + 14*t^6.75 + (4*t^6.75)/g1^6 + (6*t^6.75)/g1^4 + (14*t^6.75)/g1^2 + 14*g1^2*t^6.75 + 6*g1^4*t^6.75 + 4*g1^6*t^6.75 + 15*t^7.5 + (6*t^7.5)/g1^4 + (7*t^7.5)/g1^2 + 7*g1^2*t^7.5 + 6*g1^4*t^7.5 - 6*t^8.25 - (2*t^8.25)/g1^4 - (4*t^8.25)/g1^2 - 4*g1^2*t^8.25 - 2*g1^4*t^8.25 - t^3.75/y - t^5.25/y - (2*t^6.)/y - (2*t^6.)/(g1^2*y) - (2*g1^2*t^6.)/y - t^6.75/y + (4*t^7.5)/y + t^7.5/(g1^4*y) + (3*t^7.5)/(g1^2*y) + (3*g1^2*t^7.5)/y + (g1^4*t^7.5)/y - (4*t^8.25)/y - (3*t^8.25)/(g1^4*y) - (3*g1^4*t^8.25)/y - t^3.75*y - t^5.25*y - 2*t^6.*y - (2*t^6.*y)/g1^2 - 2*g1^2*t^6.*y - t^6.75*y + 4*t^7.5*y + (t^7.5*y)/g1^4 + (3*t^7.5*y)/g1^2 + 3*g1^2*t^7.5*y + g1^4*t^7.5*y - 4*t^8.25*y - (3*t^8.25*y)/g1^4 - 3*g1^4*t^8.25*y


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
8459 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ M_1\phi_1^3q_1^2$ + $ M_2\phi_1^3q_2^2$ 1.0195 1.207 0.8447 [X:[1.5, 1.5], M:[0.75, 0.75], q:[0.25, 0.25], qb:[], phi:[0.25]] 5*t^2.25 + 2*t^3. + t^3.75 + 17*t^4.5 + 10*t^5.25 + 3*t^6. - t^3.75/y - t^5.25/y - (5*t^6.)/y - t^3.75*y - t^5.25*y - 5*t^6.*y detail {a: 261/256, c: 309/256, X1: 3/2, X2: 3/2, M1: 3/4, M2: 3/4, q1: 1/4, q2: 1/4, phi1: 1/4}