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
45913 SU2adj1nf2 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ 0.6648 0.8527 0.7796 [X:[], M:[0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] [X:[], M:[[1, 1], [-2, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_2^2$, $ M_1M_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$ $q_1q_2\tilde{q}_1\tilde{q}_2$ -1 t^2.04 + 2*t^2.44 + t^2.52 + t^2.54 + t^3. + t^3.46 + t^3.48 + t^3.92 + t^3.94 + t^4.02 + t^4.04 + t^4.08 + t^4.12 + 2*t^4.48 + t^4.56 + t^4.58 + 3*t^4.88 + 2*t^4.96 + 2*t^4.98 + 2*t^5.04 + t^5.06 + t^5.08 + 2*t^5.44 + t^5.5 + 2*t^5.52 + t^5.54 + t^5.9 + t^5.92 + t^5.96 + t^5.98 - t^6. + t^6.06 - t^6.1 + t^6.11 + t^6.16 + 2*t^6.36 + 2*t^6.38 + t^6.44 + 3*t^6.46 + 2*t^6.48 + 2*t^6.52 + t^6.54 + 2*t^6.56 + t^6.58 + t^6.59 + t^6.62 + t^6.64 + t^6.66 + 4*t^6.92 + 2*t^7. + t^7.02 - t^7.04 + 2*t^7.08 + t^7.1 + t^7.12 + 4*t^7.32 + t^7.38 + 3*t^7.4 + 2*t^7.42 + 3*t^7.48 + t^7.52 + t^7.54 + 3*t^7.56 + t^7.58 + t^7.62 + t^7.84 + t^7.86 + 3*t^7.88 + 2*t^7.94 + 3*t^7.96 + t^7.98 + t^8. + t^8.02 + t^8.04 + t^8.06 + t^8.08 + t^8.09 + t^8.15 + t^8.16 + t^8.19 + t^8.24 + t^8.34 + t^8.36 + 2*t^8.4 + t^8.42 - 4*t^8.44 - t^8.46 + t^8.48 + 3*t^8.5 - 2*t^8.52 - 4*t^8.54 + 2*t^8.55 + t^8.58 + t^8.6 - t^8.62 + t^8.63 - t^8.64 + t^8.65 + t^8.67 + t^8.7 + 3*t^8.8 + 3*t^8.82 + 2*t^8.88 + 4*t^8.9 + 2*t^8.92 + 5*t^8.96 + 2*t^8.98 - t^4.5/y - t^6.54/y - t^6.94/y + (2*t^7.48)/y + t^7.56/y + t^7.58/y + t^7.88/y + (2*t^7.96)/y + (2*t^7.98)/y + t^8.04/y + (2*t^8.06)/y + (2*t^8.44)/y + t^8.46/y + t^8.5/y + (2*t^8.52)/y + t^8.54/y - t^8.58/y + (2*t^8.9)/y + (2*t^8.92)/y + t^8.96/y + t^8.98/y - t^4.5*y - t^6.54*y - t^6.94*y + 2*t^7.48*y + t^7.56*y + t^7.58*y + t^7.88*y + 2*t^7.96*y + 2*t^7.98*y + t^8.04*y + 2*t^8.06*y + 2*t^8.44*y + t^8.46*y + t^8.5*y + 2*t^8.52*y + t^8.54*y - t^8.58*y + 2*t^8.9*y + 2*t^8.92*y + t^8.96*y + t^8.98*y t^2.04/g1^2 + 2*g1*g2*t^2.44 + t^2.52/g1 + t^2.54/g2 + t^3. + g2*t^3.46 + g1*t^3.48 + g2^2*t^3.92 + g1*g2*t^3.94 + t^4.02/g1 + t^4.04/g2 + t^4.08/g1^4 + t^4.12/(g1^2*g2^2) + (2*g2*t^4.48)/g1 + t^4.56/g1^3 + t^4.58/(g1^2*g2) + 3*g1^2*g2^2*t^4.88 + 2*g2*t^4.96 + 2*g1*t^4.98 + (2*t^5.04)/g1^2 + t^5.06/(g1*g2) + t^5.08/g2^2 + 2*g1*g2*t^5.44 + (g2*t^5.5)/g1^2 + (2*t^5.52)/g1 + t^5.54/g2 + g1*g2^2*t^5.9 + g1^2*g2*t^5.92 + (g2^2*t^5.96)/g1^2 + (g2*t^5.98)/g1 - t^6. + t^6.06/g1^3 - t^6.1/(g1*g2^2) + t^6.11/g1^6 + t^6.16/(g1^4*g2^2) + 2*g1*g2^3*t^6.36 + 2*g1^2*g2^2*t^6.38 + (g2^2*t^6.44)/g1 + 3*g2*t^6.46 + 2*g1*t^6.48 + (2*g2*t^6.52)/g1^3 + t^6.54/g1^2 + (2*t^6.56)/(g1*g2) + t^6.58/g2^2 + t^6.59/g1^5 + t^6.62/(g1^4*g2) + t^6.64/(g1^3*g2^2) + t^6.66/(g1^2*g2^3) + 4*g2^2*t^6.92 + (2*g2*t^7.)/g1^2 + t^7.02/g1 - t^7.04/g2 + (2*t^7.08)/g1^4 + t^7.1/(g1^3*g2) + t^7.12/(g1^2*g2^2) + 4*g1^3*g2^3*t^7.32 + g2^3*t^7.38 + 3*g1*g2^2*t^7.4 + 2*g1^2*g2*t^7.42 + (3*g2*t^7.48)/g1 + (g1*t^7.52)/g2 + (g2*t^7.54)/g1^4 + (3*t^7.56)/g1^3 + t^7.58/(g1^2*g2) + t^7.62/g2^3 + g2^4*t^7.84 + g1*g2^3*t^7.86 + 3*g1^2*g2^2*t^7.88 + (2*g2^2*t^7.94)/g1 + 3*g2*t^7.96 + g1*t^7.98 + (g2^2*t^8.)/g1^4 + (g2*t^8.02)/g1^3 + t^8.04/g1^2 + t^8.06/(g1*g2) + t^8.08/g2^2 + t^8.09/g1^5 + t^8.15/g1^8 + t^8.16/(g1^2*g2^3) + t^8.19/(g1^6*g2^2) + t^8.24/(g1^4*g2^4) + g1^2*g2^3*t^8.34 + g1^3*g2^2*t^8.36 + (2*g2^3*t^8.4)/g1 + g2^2*t^8.42 - 4*g1*g2*t^8.44 - g1^2*t^8.46 + (g2^2*t^8.48)/g1^3 + (3*g2*t^8.5)/g1^2 - (2*t^8.52)/g1 - (4*t^8.54)/g2 + (2*g2*t^8.55)/g1^5 + t^8.58/g1^4 + t^8.6/(g1^3*g2) - t^8.62/(g1^2*g2^2) + t^8.63/g1^7 - t^8.64/(g1*g2^3) + t^8.65/(g1^6*g2) + t^8.67/(g1^5*g2^2) + t^8.7/(g1^4*g2^3) + 3*g1^2*g2^4*t^8.8 + 3*g1^3*g2^3*t^8.82 + 2*g2^3*t^8.88 + 4*g1*g2^2*t^8.9 + 2*g1^2*g2*t^8.92 + (5*g2^2*t^8.96)/g1^2 + (2*g2*t^8.98)/g1 - t^4.5/y - t^6.54/(g1^2*y) - (g1*g2*t^6.94)/y + (2*g2*t^7.48)/(g1*y) + t^7.56/(g1^3*y) + t^7.58/(g1^2*g2*y) + (g1^2*g2^2*t^7.88)/y + (2*g2*t^7.96)/y + (2*g1*t^7.98)/y + t^8.04/(g1^2*y) + (2*t^8.06)/(g1*g2*y) + (2*g1*g2*t^8.44)/y + (g1^2*t^8.46)/y + (g2*t^8.5)/(g1^2*y) + (2*t^8.52)/(g1*y) + t^8.54/(g2*y) - t^8.58/(g1^4*y) + (2*g1*g2^2*t^8.9)/y + (2*g1^2*g2*t^8.92)/y + (g2^2*t^8.96)/(g1^2*y) + (g2*t^8.98)/(g1*y) - t^4.5*y - (t^6.54*y)/g1^2 - g1*g2*t^6.94*y + (2*g2*t^7.48*y)/g1 + (t^7.56*y)/g1^3 + (t^7.58*y)/(g1^2*g2) + g1^2*g2^2*t^7.88*y + 2*g2*t^7.96*y + 2*g1*t^7.98*y + (t^8.04*y)/g1^2 + (2*t^8.06*y)/(g1*g2) + 2*g1*g2*t^8.44*y + g1^2*t^8.46*y + (g2*t^8.5*y)/g1^2 + (2*t^8.52*y)/g1 + (t^8.54*y)/g2 - (t^8.58*y)/g1^4 + 2*g1*g2^2*t^8.9*y + 2*g1^2*g2*t^8.92*y + (g2^2*t^8.96*y)/g1^2 + (g2*t^8.98*y)/g1


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
45965 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ 0.6855 0.8931 0.7675 [X:[], M:[0.8163, 0.6776, 0.6837], q:[0.75, 0.4337], qb:[0.4112, 0.4051], phi:[0.5]] t^2.03 + t^2.05 + 2*t^2.45 + t^2.52 + t^2.53 + t^3. + t^3.47 + t^3.48 + t^3.93 + t^4.02 + t^4.03 + t^4.07 + t^4.08 + 2*t^4.1 + 2*t^4.48 + 2*t^4.5 + t^4.55 + 2*t^4.57 + t^4.59 + 3*t^4.9 + 2*t^4.97 + 2*t^4.98 + 2*t^5.03 + 2*t^5.05 + t^5.07 + 2*t^5.45 + t^5.5 + 3*t^5.52 + 2*t^5.53 + t^5.91 + t^5.93 + t^5.96 + t^5.98 - t^6. - t^4.5/y - t^4.5*y detail
46076 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ 0.6855 0.8928 0.7678 [X:[], M:[0.8171, 0.6829, 0.6829], q:[0.75, 0.4329], qb:[0.4085, 0.4085], phi:[0.5]] 2*t^2.05 + 2*t^2.45 + 2*t^2.52 + t^3. + 2*t^3.48 + t^3.95 + 2*t^4.02 + 4*t^4.1 + 4*t^4.5 + 4*t^4.57 + 3*t^4.9 + 4*t^4.98 + 5*t^5.05 + 2*t^5.45 + 6*t^5.52 + 2*t^5.93 + t^6. - t^4.5/y - t^4.5*y detail
46020 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ 0.6642 0.8511 0.7804 [X:[], M:[0.83, 0.6801], q:[0.75, 0.42], qb:[0.41, 0.42], phi:[0.5]] t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + 2*t^3.99 + 3*t^4.02 + t^4.08 + 3*t^4.53 + t^4.56 + 6*t^4.98 + 3*t^5.01 + 2*t^5.04 + 3*t^5.49 + 2*t^5.52 + t^5.55 + t^5.97 - t^6. - t^4.5/y - t^4.5*y detail


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
45842 SU2adj1nf2 $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ 0.644 0.812 0.7931 [X:[], M:[0.8115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] 2*t^2.43 + 2*t^2.53 + t^3. + 2*t^3.47 + 3*t^3.93 + 2*t^4.03 + t^4.13 + 3*t^4.87 + 4*t^4.97 + 3*t^5.07 + 2*t^5.43 + 2*t^5.53 + 2*t^5.9 - t^6. - t^4.5/y - t^4.5*y detail