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
3291 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ 0.624 0.8116 0.7689 [X:[], M:[1.0, 0.9995, 1.0011, 0.9995, 0.7507, 0.7507, 0.9989], q:[0.7499, 0.2501], qb:[0.4995, 0.4995], phi:[0.5003]] [X:[], M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-9, -1], [-1, -9], [8, 8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_6$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ M_2$, $ M_4$, $ M_7$, $ M_2$, $ M_4$, $ M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_6q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_6$, $ M_4M_6$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_5$, $ M_4M_5$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_7q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_7^2$ $M_1M_2$, $ M_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_4^2$, $ M_1M_7$, $ M_2M_7$, $ M_4M_7$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_6\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ 8 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + t^5.99 + 8*t^6. + 22*t^6.75 + 4*t^6.76 + 6*t^7.49 + 25*t^7.5 + 6*t^8.24 + 8*t^8.25 + 6*t^8.99 - t^4.5/y - (2*t^6.75)/y + (6*t^7.5)/y + (18*t^8.25)/y - t^4.5*y - 2*t^6.75*y + 6*t^7.5*y + 18*t^8.25*y t^2.25/(g1*g2^9) + t^2.25/(g1^9*g2) + (g1^7*t^2.25)/g2 + (g2^7*t^2.25)/g1 + t^3. + 2*g1^4*g2^4*t^3. + g1^8*g2^8*t^3. + (g1^5*t^3.75)/g2^3 + (g2^5*t^3.75)/g1^3 + t^4.5/(g1^2*g2^18) + t^4.5/(g1^10*g2^10) + (g1^6*t^4.5)/g2^10 + t^4.5/(g1^18*g2^2) + (2*t^4.5)/(g1^2*g2^2) + (2*g1^14*t^4.5)/g2^2 + (g2^6*t^4.5)/g1^10 + 2*g1^6*g2^6*t^4.5 + (2*g2^14*t^4.5)/g1^2 + (2*g1^3*t^5.25)/g2^5 + (2*g1^7*t^5.25)/g2 + (2*g2^3*t^5.25)/g1^5 + 2*g1^11*g2^3*t^5.25 + (2*g2^7*t^5.25)/g1 + g1^15*g2^7*t^5.25 + 2*g1^3*g2^11*t^5.25 + g1^7*g2^15*t^5.25 + g1^16*g2^16*t^5.99 - 3*t^6. + (g1^4*t^6.)/g2^12 - (g1^8*t^6.)/g2^8 + t^6./(g1^4*g2^4) + (g1^12*t^6.)/g2^4 + (g2^4*t^6.)/g1^12 + 3*g1^4*g2^4*t^6. - (g2^8*t^6.)/g1^8 + 3*g1^8*g2^8*t^6. + (g2^12*t^6.)/g1^4 + 2*g1^12*g2^12*t^6. + (g1^5*t^6.75)/g2^19 + t^6.75/(g1^3*g2^11) + (2*g1^13*t^6.75)/g2^11 - (g1*t^6.75)/g2^7 + t^6.75/(g1^11*g2^3) + (3*g1^5*t^6.75)/g2^3 + (2*g1^21*t^6.75)/g2^3 - (g2*t^6.75)/g1^7 + (g2^5*t^6.75)/g1^19 + (3*g2^5*t^6.75)/g1^3 + 3*g1^13*g2^5*t^6.75 + (2*g2^13*t^6.75)/g1^11 + 3*g1^5*g2^13*t^6.75 + (2*g2^21*t^6.75)/g1^3 + t^6.76/(g1^3*g2^27) + t^6.76/(g1^11*g2^19) + t^6.76/(g1^19*g2^11) + t^6.76/(g1^27*g2^3) + 2*g1^22*g2^6*t^7.49 + 2*g1^14*g2^14*t^7.49 + 2*g1^6*g2^22*t^7.49 + (2*g1^2*t^7.5)/g2^14 - t^7.5/(g1^10*g2^10) + (2*t^7.5)/(g1^6*g2^6) + (2*g1^10*t^7.5)/g2^6 - t^7.5/(g1^2*g2^2) + (2*g1^14*t^7.5)/g2^2 + (2*g2^2*t^7.5)/g1^14 + 2*g1^2*g2^2*t^7.5 + 3*g1^18*g2^2*t^7.5 + 2*g1^6*g2^6*t^7.5 + (2*g2^10*t^7.5)/g1^6 + 3*g1^10*g2^10*t^7.5 + (2*g2^14*t^7.5)/g1^2 + 3*g1^2*g2^18*t^7.5 + 2*g1^19*g2^11*t^8.24 + g1^23*g2^15*t^8.24 + 2*g1^11*g2^19*t^8.24 + g1^15*g2^23*t^8.24 + (g1^3*t^8.25)/g2^21 - (g1^7*t^8.25)/g2^17 + t^8.25/(g1^5*g2^13) + (g1^11*t^8.25)/g2^13 - (5*t^8.25)/(g1*g2^9) - (g1^15*t^8.25)/g2^9 + t^8.25/(g1^13*g2^5) + (g1^3*t^8.25)/g2^5 + (2*g1^19*t^8.25)/g2^5 - (5*t^8.25)/(g1^9*g2) - (3*g1^7*t^8.25)/g2 + (g2^3*t^8.25)/g1^21 + (g2^3*t^8.25)/g1^5 + 5*g1^11*g2^3*t^8.25 - (g2^7*t^8.25)/g1^17 - (3*g2^7*t^8.25)/g1 + 3*g1^15*g2^7*t^8.25 + (g2^11*t^8.25)/g1^13 + 5*g1^3*g2^11*t^8.25 - (g2^15*t^8.25)/g1^9 + 3*g1^7*g2^15*t^8.25 + (2*g2^19*t^8.25)/g1^5 + 3*g1^16*g2^16*t^8.99 + 2*g1^20*g2^20*t^8.99 + g1^24*g2^24*t^8.99 - t^4.5/(g1^2*g2^2*y) - t^6.75/(g1^3*g2^11*y) - t^6.75/(g1^11*g2^3*y) + t^7.5/(g1^10*g2^10*y) + (g1^6*t^7.5)/(g2^10*y) + t^7.5/(g1^6*g2^6*y) + (2*t^7.5)/(g1^2*g2^2*y) - (g1^2*g2^2*t^7.5)/y + (g2^6*t^7.5)/(g1^10*y) + (g1^6*g2^6*t^7.5)/y + t^8.25/(g1*g2^9*y) + (2*g1^3*t^8.25)/(g2^5*y) + t^8.25/(g1^9*g2*y) + (3*g1^7*t^8.25)/(g2*y) + (2*g2^3*t^8.25)/(g1^5*y) + (2*g1^11*g2^3*t^8.25)/y + (3*g2^7*t^8.25)/(g1*y) + (g1^15*g2^7*t^8.25)/y + (2*g1^3*g2^11*t^8.25)/y + (g1^7*g2^15*t^8.25)/y - (t^4.5*y)/(g1^2*g2^2) - (t^6.75*y)/(g1^3*g2^11) - (t^6.75*y)/(g1^11*g2^3) + (t^7.5*y)/(g1^10*g2^10) + (g1^6*t^7.5*y)/g2^10 + (t^7.5*y)/(g1^6*g2^6) + (2*t^7.5*y)/(g1^2*g2^2) - g1^2*g2^2*t^7.5*y + (g2^6*t^7.5*y)/g1^10 + g1^6*g2^6*t^7.5*y + (t^8.25*y)/(g1*g2^9) + (2*g1^3*t^8.25*y)/g2^5 + (t^8.25*y)/(g1^9*g2) + (3*g1^7*t^8.25*y)/g2 + (2*g2^3*t^8.25*y)/g1^5 + 2*g1^11*g2^3*t^8.25*y + (3*g2^7*t^8.25*y)/g1 + g1^15*g2^7*t^8.25*y + 2*g1^3*g2^11*t^8.25*y + g1^7*g2^15*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
2777 SU2adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ 0.627 0.8145 0.7698 [X:[], M:[1.0, 1.0323, 0.9353, 1.0323, 0.7096, 0.7096], q:[0.7581, 0.2419], qb:[0.5323, 0.5323], phi:[0.4838]] 2*t^2.13 + 2*t^2.32 + t^2.81 + t^3. + 2*t^3.1 + 2*t^3.77 + 3*t^4.26 + 4*t^4.45 + 6*t^4.65 + 2*t^4.93 + 2*t^5.13 + 4*t^5.23 + 2*t^5.32 + 4*t^5.42 + t^5.61 + t^5.81 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y detail