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
55458 SU2adj1nf3 $M_1\phi_1^2$ + $ M_1^2$ 0.8477 1.0039 0.8444 [X:[], M:[1.0], q:[0.6667, 0.6667, 0.6667], qb:[0.6667, 0.6667, 0.6667], phi:[0.5]] [X:[], M:[[0, 0, 0, 0, 0]], q:[[-1, -1, -1, -1, -1], [1, 0, 0, 0, 0], [0, 1, 0, 0, 0]], qb:[[0, 0, 1, 0, 0], [0, 0, 0, 1, 0], [0, 0, 0, 0, 1]], phi:[[0, 0, 0, 0, 0]]] 5 {a: 217/256, c: 257/256, M1: 1, q1: 2/3, q2: 2/3, q3: 2/3, qb1: 2/3, qb2: 2/3, qb3: 2/3, phi1: 1/2}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ q_1\tilde{q}_3$, $ \phi_1q_2^2$, $ \phi_1q_2q_3$, $ \phi_1q_1\tilde{q}_3$ . -35 t^3. + 15*t^4. + 21*t^5.5 - 35*t^6. + 15*t^7. - 35*t^7.5 + 126*t^8. - t^4.5/y - t^4.5*y t^3. + g1*g2*t^4. + g1*g3*t^4. + g2*g3*t^4. + t^4./(g1*g2*g3*g4) + g1*g4*t^4. + g2*g4*t^4. + g3*g4*t^4. + t^4./(g1*g2*g3*g5) + t^4./(g1*g2*g4*g5) + t^4./(g1*g3*g4*g5) + t^4./(g2*g3*g4*g5) + g1*g5*t^4. + g2*g5*t^4. + g3*g5*t^4. + g4*g5*t^4. + g1^2*t^5.5 + g1*g2*t^5.5 + g2^2*t^5.5 + g1*g3*t^5.5 + g2*g3*t^5.5 + g3^2*t^5.5 + t^5.5/(g1*g2*g3*g4) + g1*g4*t^5.5 + g2*g4*t^5.5 + g3*g4*t^5.5 + g4^2*t^5.5 + t^5.5/(g1^2*g2^2*g3^2*g4^2*g5^2) + t^5.5/(g1*g2*g3*g5) + t^5.5/(g1*g2*g4*g5) + t^5.5/(g1*g3*g4*g5) + t^5.5/(g2*g3*g4*g5) + g1*g5*t^5.5 + g2*g5*t^5.5 + g3*g5*t^5.5 + g4*g5*t^5.5 + g5^2*t^5.5 - 5*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - (g1*t^6.)/g3 - (g2*t^6.)/g3 - (g3*t^6.)/g1 - (g3*t^6.)/g2 - (g1*t^6.)/g4 - (g2*t^6.)/g4 - (g3*t^6.)/g4 - (g4*t^6.)/g1 - (g4*t^6.)/g2 - (g4*t^6.)/g3 - t^6./(g1*g2*g3*g4*g5^2) - (g1*t^6.)/g5 - (g2*t^6.)/g5 - (g3*t^6.)/g5 - t^6./(g1*g2*g3*g4^2*g5) - t^6./(g1*g2*g3^2*g4*g5) - t^6./(g1*g2^2*g3*g4*g5) - t^6./(g1^2*g2*g3*g4*g5) - (g4*t^6.)/g5 - (g5*t^6.)/g1 - (g5*t^6.)/g2 - (g5*t^6.)/g3 - (g5*t^6.)/g4 - g1^2*g2*g3*g4*g5*t^6. - g1*g2^2*g3*g4*g5*t^6. - g1*g2*g3^2*g4*g5*t^6. - g1*g2*g3*g4^2*g5*t^6. - g1*g2*g3*g4*g5^2*t^6. + g1*g2*t^7. + g1*g3*t^7. + g2*g3*t^7. + t^7./(g1*g2*g3*g4) + g1*g4*t^7. + g2*g4*t^7. + g3*g4*t^7. + t^7./(g1*g2*g3*g5) + t^7./(g1*g2*g4*g5) + t^7./(g1*g3*g4*g5) + t^7./(g2*g3*g4*g5) + g1*g5*t^7. + g2*g5*t^7. + g3*g5*t^7. + g4*g5*t^7. - 5*t^7.5 - (g1*t^7.5)/g2 - (g2*t^7.5)/g1 - (g1*t^7.5)/g3 - (g2*t^7.5)/g3 - (g3*t^7.5)/g1 - (g3*t^7.5)/g2 - (g1*t^7.5)/g4 - (g2*t^7.5)/g4 - (g3*t^7.5)/g4 - (g4*t^7.5)/g1 - (g4*t^7.5)/g2 - (g4*t^7.5)/g3 - t^7.5/(g1*g2*g3*g4*g5^2) - (g1*t^7.5)/g5 - (g2*t^7.5)/g5 - (g3*t^7.5)/g5 - t^7.5/(g1*g2*g3*g4^2*g5) - t^7.5/(g1*g2*g3^2*g4*g5) - t^7.5/(g1*g2^2*g3*g4*g5) - t^7.5/(g1^2*g2*g3*g4*g5) - (g4*t^7.5)/g5 - (g5*t^7.5)/g1 - (g5*t^7.5)/g2 - (g5*t^7.5)/g3 - (g5*t^7.5)/g4 - g1^2*g2*g3*g4*g5*t^7.5 - g1*g2^2*g3*g4*g5*t^7.5 - g1*g2*g3^2*g4*g5*t^7.5 - g1*g2*g3*g4^2*g5*t^7.5 - g1*g2*g3*g4*g5^2*t^7.5 + t^8./g1^2 + t^8./g2^2 + (3*t^8.)/(g1*g2) + g1^2*g2^2*t^8. + t^8./g3^2 + (3*t^8.)/(g1*g3) + (3*t^8.)/(g2*g3) + g1^2*g2*g3*t^8. + g1*g2^2*g3*t^8. + g1^2*g3^2*t^8. + g1*g2*g3^2*t^8. + g2^2*g3^2*t^8. + t^8./g4^2 + t^8./(g1^2*g2^2*g3^2*g4^2) + (3*t^8.)/(g1*g4) + (3*t^8.)/(g2*g4) + (3*t^8.)/(g3*g4) + (g1*t^8.)/(g2*g3*g4) + (g2*t^8.)/(g1*g3*g4) + (g3*t^8.)/(g1*g2*g4) + g1^2*g2*g4*t^8. + g1*g2^2*g4*t^8. + (g4*t^8.)/(g1*g2*g3) + g1^2*g3*g4*t^8. + 3*g1*g2*g3*g4*t^8. + g2^2*g3*g4*t^8. + g1*g3^2*g4*t^8. + g2*g3^2*g4*t^8. + g1^2*g4^2*t^8. + g1*g2*g4^2*t^8. + g2^2*g4^2*t^8. + g1*g3*g4^2*t^8. + g2*g3*g4^2*t^8. + g3^2*g4^2*t^8. + t^8./g5^2 + t^8./(g1^2*g2^2*g3^2*g5^2) + t^8./(g1^2*g2^2*g4^2*g5^2) + t^8./(g1^2*g3^2*g4^2*g5^2) + t^8./(g2^2*g3^2*g4^2*g5^2) + t^8./(g1*g2*g3^2*g4^2*g5^2) + t^8./(g1*g2^2*g3*g4^2*g5^2) + t^8./(g1^2*g2*g3*g4^2*g5^2) + t^8./(g1*g2^2*g3^2*g4*g5^2) + t^8./(g1^2*g2*g3^2*g4*g5^2) + t^8./(g1^2*g2^2*g3*g4*g5^2) + (3*t^8.)/(g1*g5) + (3*t^8.)/(g2*g5) + (3*t^8.)/(g3*g5) + (g1*t^8.)/(g2*g3*g5) + (g2*t^8.)/(g1*g3*g5) + (g3*t^8.)/(g1*g2*g5) + t^8./(g1*g2^2*g3^2*g4^2*g5) + t^8./(g1^2*g2*g3^2*g4^2*g5) + t^8./(g1^2*g2^2*g3*g4^2*g5) + (3*t^8.)/(g4*g5) + (g1*t^8.)/(g2*g4*g5) + (g2*t^8.)/(g1*g4*g5) + t^8./(g1^2*g2^2*g3^2*g4*g5) + (g1*t^8.)/(g3*g4*g5) + (g2*t^8.)/(g3*g4*g5) + (g3*t^8.)/(g1*g4*g5) + (g3*t^8.)/(g2*g4*g5) + (g4*t^8.)/(g1*g2*g5) + (g4*t^8.)/(g1*g3*g5) + (g4*t^8.)/(g2*g3*g5) + g1^2*g2*g5*t^8. + g1*g2^2*g5*t^8. + (g5*t^8.)/(g1*g2*g3) + g1^2*g3*g5*t^8. + 3*g1*g2*g3*g5*t^8. + g2^2*g3*g5*t^8. + g1*g3^2*g5*t^8. + g2*g3^2*g5*t^8. + (g5*t^8.)/(g1*g2*g4) + (g5*t^8.)/(g1*g3*g4) + (g5*t^8.)/(g2*g3*g4) + g1^2*g4*g5*t^8. + 3*g1*g2*g4*g5*t^8. + g2^2*g4*g5*t^8. + 3*g1*g3*g4*g5*t^8. + 3*g2*g3*g4*g5*t^8. + g3^2*g4*g5*t^8. + g1*g4^2*g5*t^8. + g2*g4^2*g5*t^8. + g3*g4^2*g5*t^8. + g1^2*g5^2*t^8. + g1*g2*g5^2*t^8. + g2^2*g5^2*t^8. + g1*g3*g5^2*t^8. + g2*g3*g5^2*t^8. + g3^2*g5^2*t^8. + g1*g4*g5^2*t^8. + g2*g4*g5^2*t^8. + g3*g4*g5^2*t^8. + g4^2*g5^2*t^8. + g1^2*g2^2*g3^2*g4^2*g5^2*t^8. - t^4.5/y - t^4.5*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
55654 $M_1\phi_1^2$ + $ M_1^2$ + $ \phi_1q_2^2$ 0.8433 0.9995 0.8437 [X:[], M:[1.0], q:[0.65, 0.75, 0.65], qb:[0.65, 0.65, 0.65], phi:[0.5]] t^3. + 10*t^3.9 + 5*t^4.2 + 15*t^5.4 - 24*t^6. - t^4.5/y - t^4.5*y detail {a: 5397/6400, c: 6397/6400, M1: 1, q1: 13/20, q2: 3/4, q3: 13/20, qb1: 13/20, qb2: 13/20, qb3: 13/20, phi1: 1/2}


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
55432 SU2adj1nf3 $M_1\phi_1^2$ 0.872 1.0666 0.8176 [X:[], M:[0.8251], q:[0.6084, 0.6084, 0.6084], qb:[0.6084, 0.6084, 0.6084], phi:[0.5875]] t^2.48 + 15*t^3.65 + t^4.95 + 21*t^5.41 - 36*t^6. - t^4.76/y - t^4.76*y detail