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
36 SU2adj1nf2 . 0.7103 0.8462 0.8394 [X:[], M:[], q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]] [X:[], M:[], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] 4
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$ $\phi_1^2q_1q_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ -10 t^2.61 + 6*t^3.39 + 10*t^4.7 + t^5.22 - 10*t^6. + 20*t^6.78 - 5*t^7.3 + t^7.83 + 35*t^8.09 - t^4.3/y - t^6.91/y + t^7.7/y - t^4.3*y - t^6.91*y + t^7.7*y t^2.61/(g1^2*g2^2*g3^2*g4^2) + g1^4*g2^4*t^3.39 + g1^4*g3^4*t^3.39 + g2^4*g3^4*t^3.39 + g1^4*g4^4*t^3.39 + g2^4*g4^4*t^3.39 + g3^4*g4^4*t^3.39 + (g1^7*t^4.7)/(g2*g3*g4) + (g1^3*g2^3*t^4.7)/(g3*g4) + (g2^7*t^4.7)/(g1*g3*g4) + (g1^3*g3^3*t^4.7)/(g2*g4) + (g2^3*g3^3*t^4.7)/(g1*g4) + (g3^7*t^4.7)/(g1*g2*g4) + (g1^3*g4^3*t^4.7)/(g2*g3) + (g2^3*g4^3*t^4.7)/(g1*g3) + (g3^3*g4^3*t^4.7)/(g1*g2) + (g4^7*t^4.7)/(g1*g2*g3) + t^5.22/(g1^4*g2^4*g3^4*g4^4) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g1^4*t^6.)/g3^4 - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g1^4 - (g3^4*t^6.)/g2^4 - (g1^4*t^6.)/g4^4 - (g2^4*t^6.)/g4^4 - (g3^4*t^6.)/g4^4 + (g1^2*g2^2*t^6.)/(g3^2*g4^2) + (g1^2*g3^2*t^6.)/(g2^2*g4^2) + (g2^2*g3^2*t^6.)/(g1^2*g4^2) + (g1^2*g4^2*t^6.)/(g2^2*g3^2) + (g2^2*g4^2*t^6.)/(g1^2*g3^2) + (g3^2*g4^2*t^6.)/(g1^2*g2^2) - (g4^4*t^6.)/g1^4 - (g4^4*t^6.)/g2^4 - (g4^4*t^6.)/g3^4 + g1^8*g2^8*t^6.78 + g1^8*g2^4*g3^4*t^6.78 + g1^4*g2^8*g3^4*t^6.78 + g1^8*g3^8*t^6.78 + g1^4*g2^4*g3^8*t^6.78 + g2^8*g3^8*t^6.78 + g1^8*g2^4*g4^4*t^6.78 + g1^4*g2^8*g4^4*t^6.78 + g1^8*g3^4*g4^4*t^6.78 + 2*g1^4*g2^4*g3^4*g4^4*t^6.78 + g2^8*g3^4*g4^4*t^6.78 + g1^4*g3^8*g4^4*t^6.78 + g2^4*g3^8*g4^4*t^6.78 + g1^8*g4^8*t^6.78 + g1^4*g2^4*g4^8*t^6.78 + g2^8*g4^8*t^6.78 + g1^4*g3^4*g4^8*t^6.78 + g2^4*g3^4*g4^8*t^6.78 + g3^8*g4^8*t^6.78 - (g1^3*t^7.3)/(g2*g3*g4^5) - (g2^3*t^7.3)/(g1*g3*g4^5) - (g3^3*t^7.3)/(g1*g2*g4^5) + (g1^5*t^7.3)/(g2^3*g3^3*g4^3) + (g1*g2*t^7.3)/(g3^3*g4^3) + (g2^5*t^7.3)/(g1^3*g3^3*g4^3) + (g1*g3*t^7.3)/(g2^3*g4^3) + (g2*g3*t^7.3)/(g1^3*g4^3) + (g3^5*t^7.3)/(g1^3*g2^3*g4^3) - (g1^3*t^7.3)/(g2*g3^5*g4) - (g2^3*t^7.3)/(g1*g3^5*g4) - (g1^3*t^7.3)/(g2^5*g3*g4) - (3*t^7.3)/(g1*g2*g3*g4) - (g2^3*t^7.3)/(g1^5*g3*g4) - (g3^3*t^7.3)/(g1*g2^5*g4) - (g3^3*t^7.3)/(g1^5*g2*g4) + (g1*g4*t^7.3)/(g2^3*g3^3) + (g2*g4*t^7.3)/(g1^3*g3^3) + (g3*g4*t^7.3)/(g1^3*g2^3) - (g4^3*t^7.3)/(g1*g2*g3^5) - (g4^3*t^7.3)/(g1*g2^5*g3) - (g4^3*t^7.3)/(g1^5*g2*g3) + (g4^5*t^7.3)/(g1^3*g2^3*g3^3) + t^7.83/(g1^6*g2^6*g3^6*g4^6) + (g1^11*g2^3*t^8.09)/(g3*g4) + (g1^7*g2^7*t^8.09)/(g3*g4) + (g1^3*g2^11*t^8.09)/(g3*g4) + (g1^11*g3^3*t^8.09)/(g2*g4) + (2*g1^7*g2^3*g3^3*t^8.09)/g4 + (2*g1^3*g2^7*g3^3*t^8.09)/g4 + (g2^11*g3^3*t^8.09)/(g1*g4) + (g1^7*g3^7*t^8.09)/(g2*g4) + (2*g1^3*g2^3*g3^7*t^8.09)/g4 + (g2^7*g3^7*t^8.09)/(g1*g4) + (g1^3*g3^11*t^8.09)/(g2*g4) + (g2^3*g3^11*t^8.09)/(g1*g4) - g1^9*g2*g3*g4*t^8.09 - g1^5*g2^5*g3*g4*t^8.09 - g1*g2^9*g3*g4*t^8.09 - g1^5*g2*g3^5*g4*t^8.09 - g1*g2^5*g3^5*g4*t^8.09 - g1*g2*g3^9*g4*t^8.09 + (g1^11*g4^3*t^8.09)/(g2*g3) + (2*g1^7*g2^3*g4^3*t^8.09)/g3 + (2*g1^3*g2^7*g4^3*t^8.09)/g3 + (g2^11*g4^3*t^8.09)/(g1*g3) + (2*g1^7*g3^3*g4^3*t^8.09)/g2 + 3*g1^3*g2^3*g3^3*g4^3*t^8.09 + (2*g2^7*g3^3*g4^3*t^8.09)/g1 + (2*g1^3*g3^7*g4^3*t^8.09)/g2 + (2*g2^3*g3^7*g4^3*t^8.09)/g1 + (g3^11*g4^3*t^8.09)/(g1*g2) - g1^5*g2*g3*g4^5*t^8.09 - g1*g2^5*g3*g4^5*t^8.09 - g1*g2*g3^5*g4^5*t^8.09 + (g1^7*g4^7*t^8.09)/(g2*g3) + (2*g1^3*g2^3*g4^7*t^8.09)/g3 + (g2^7*g4^7*t^8.09)/(g1*g3) + (2*g1^3*g3^3*g4^7*t^8.09)/g2 + (2*g2^3*g3^3*g4^7*t^8.09)/g1 + (g3^7*g4^7*t^8.09)/(g1*g2) - g1*g2*g3*g4^9*t^8.09 + (g1^3*g4^11*t^8.09)/(g2*g3) + (g2^3*g4^11*t^8.09)/(g1*g3) + (g3^3*g4^11*t^8.09)/(g1*g2) + t^8.61/g1^8 + t^8.61/g2^8 + (2*t^8.61)/(g1^4*g2^4) + t^8.61/g3^8 + (2*t^8.61)/(g1^4*g3^4) + (2*t^8.61)/(g2^4*g3^4) + t^8.61/g4^8 - (g1^2*t^8.61)/(g2^2*g3^2*g4^6) - (g2^2*t^8.61)/(g1^2*g3^2*g4^6) - (g3^2*t^8.61)/(g1^2*g2^2*g4^6) + (2*t^8.61)/(g1^4*g4^4) + (2*t^8.61)/(g2^4*g4^4) + (2*t^8.61)/(g3^4*g4^4) - (g1^2*t^8.61)/(g2^2*g3^6*g4^2) - (g2^2*t^8.61)/(g1^2*g3^6*g4^2) - (g1^2*t^8.61)/(g2^6*g3^2*g4^2) - (4*t^8.61)/(g1^2*g2^2*g3^2*g4^2) - (g2^2*t^8.61)/(g1^6*g3^2*g4^2) - (g3^2*t^8.61)/(g1^2*g2^6*g4^2) - (g3^2*t^8.61)/(g1^6*g2^2*g4^2) - (g4^2*t^8.61)/(g1^2*g2^2*g3^6) - (g4^2*t^8.61)/(g1^2*g2^6*g3^2) - (g4^2*t^8.61)/(g1^6*g2^2*g3^2) - t^4.3/(g1*g2*g3*g4*y) - t^6.91/(g1^3*g2^3*g3^3*g4^3*y) + (g1*g2*g3*g4*t^7.7)/y - (t^4.3*y)/(g1*g2*g3*g4) - (t^6.91*y)/(g1^3*g2^3*g3^3*g4^3) + g1*g2*g3*g4*t^7.7*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
41 $M_1\phi_1^2$ 0.7003 0.8367 0.837 [X:[], M:[1.0907], q:[0.5454, 0.5454], qb:[0.5454, 0.5454], phi:[0.4546]] 7*t^3.27 + 10*t^4.64 - 16*t^6. - t^4.36/y - t^4.36*y detail
40 $M_1q_1q_2$ 0.7247 0.8687 0.8342 [X:[], M:[0.7995], q:[0.6003, 0.6003], qb:[0.5581, 0.5581], phi:[0.4208]] t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - t^4.26/y - t^4.26*y detail
39 $\phi_1q_1q_2$ 0.6076 0.7195 0.8446 [X:[], M:[], q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] t^2.15 + t^2.78 + 7*t^3.85 + t^4.29 + 2*t^4.93 + t^5.56 - 2*t^6. - t^4.07/y - t^4.07*y detail
37 $\phi_1q_1^2$ 0.6732 0.8001 0.8414 [X:[], M:[], q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] t^2.44 + 3*t^3.16 + 3*t^3.97 + 6*t^4.38 + t^4.87 + 3*t^5.59 - 9*t^6. - t^4.22/y - t^4.22*y detail
38 $\phi_1^4$ 0.6914 0.8477 0.8157 [X:[], M:[], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]] 7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y detail {a: 177/256, c: 217/256, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, 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
55448 SU2adj1nf3 $\phi_1q_1q_2$ + $ q_2q_3$ 0.7103 0.8462 0.8394 [X:[], M:[], q:[0.5651, 1.0, 1.0], qb:[0.5651, 0.5651, 0.5651], phi:[0.4349]] t^2.61 + 6*t^3.39 + 10*t^4.7 + t^5.22 - 10*t^6. - t^4.3/y - t^4.3*y detail


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