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
45282 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_3q_2^2$ + $ M_4q_2^2$ 1.8118 1.9505 0.9289 [X:[], M:[1.0048, 0.6699, 0.89, 0.89], q:[0.4402, 0.555], qb:[], phi:[0.3349]] [X:[], M:[[-9], [-6], [-2], [-2]], q:[[8], [1]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ q_1^2$, $ M_3$, $ M_4$, $ M_1$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_1q_2$, $ M_1M_2$, $ M_1\phi_1^2$, $ q_1^4$, $ M_3q_1^2$, $ M_4q_1^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1^2q_2^2$, $ M_1M_3$, $ M_1M_4$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$ $\phi_1^3q_1q_2$ -1 2*t^2.01 + t^2.64 + 2*t^2.67 + t^3.01 + t^3.67 + 4*t^4.02 + 3*t^4.65 + 4*t^4.68 + t^5. + 2*t^5.02 + t^5.28 + 2*t^5.31 + 4*t^5.34 + 4*t^5.68 - t^6. + 7*t^6.03 + t^6.32 + 5*t^6.66 + 8*t^6.69 + t^7. + 4*t^7.03 + 3*t^7.29 + 6*t^7.32 + 8*t^7.35 + t^7.64 + 2*t^7.67 + 8*t^7.69 + t^7.92 + 2*t^7.95 + 3*t^7.98 + 4*t^8.01 + 11*t^8.04 + 2*t^8.33 + 3*t^8.35 - 2*t^8.64 + 5*t^8.67 + 14*t^8.7 + t^8.96 - t^8.99 - t^4./y - t^5.33/y - t^5.67/y - (3*t^6.01)/y - t^6.65/y - (2*t^6.67)/y - (2*t^7.33)/y + (2*t^7.65)/y + t^7.68/y - t^7.97/y - t^8./y - (4*t^8.02)/y + t^8.31/y - t^8.34/y - (2*t^8.66)/y - (2*t^8.68)/y - t^4.*y - t^5.33*y - t^5.67*y - 3*t^6.01*y - t^6.65*y - 2*t^6.67*y - 2*t^7.33*y + 2*t^7.65*y + t^7.68*y - t^7.97*y - t^8.*y - 4*t^8.02*y + t^8.31*y - t^8.34*y - 2*t^8.66*y - 2*t^8.68*y (2*t^2.01)/g1^6 + g1^16*t^2.64 + (2*t^2.67)/g1^2 + t^3.01/g1^9 + t^3.67/g1^5 + (4*t^4.02)/g1^12 + 3*g1^10*t^4.65 + (4*t^4.68)/g1^8 + g1^3*t^5. + (2*t^5.02)/g1^15 + g1^32*t^5.28 + 2*g1^14*t^5.31 + (4*t^5.34)/g1^4 + (4*t^5.68)/g1^11 - t^6. + (7*t^6.03)/g1^18 + g1^11*t^6.32 + 5*g1^4*t^6.66 + (8*t^6.69)/g1^14 + t^7./g1^3 + (4*t^7.03)/g1^21 + 3*g1^26*t^7.29 + 6*g1^8*t^7.32 + (8*t^7.35)/g1^10 + g1^19*t^7.64 + 2*g1*t^7.67 + (8*t^7.69)/g1^17 + g1^48*t^7.92 + 2*g1^30*t^7.95 + 3*g1^12*t^7.98 + (4*t^8.01)/g1^6 + (11*t^8.04)/g1^24 + 2*g1^5*t^8.33 + (3*t^8.35)/g1^13 - 2*g1^16*t^8.64 + (5*t^8.67)/g1^2 + (14*t^8.7)/g1^20 + g1^27*t^8.96 - g1^9*t^8.99 - t^4./(g1^3*y) - (g1^5*t^5.33)/y - t^5.67/(g1^2*y) - (3*t^6.01)/(g1^9*y) - (g1^13*t^6.65)/y - (2*t^6.67)/(g1^5*y) - (2*t^7.33)/(g1*y) + (2*g1^10*t^7.65)/y + t^7.68/(g1^8*y) - (g1^21*t^7.97)/y - (g1^3*t^8.)/y - (4*t^8.02)/(g1^15*y) + (g1^14*t^8.31)/y - t^8.34/(g1^4*y) - (2*g1^7*t^8.66)/y - (2*t^8.68)/(g1^11*y) - (t^4.*y)/g1^3 - g1^5*t^5.33*y - (t^5.67*y)/g1^2 - (3*t^6.01*y)/g1^9 - g1^13*t^6.65*y - (2*t^6.67*y)/g1^5 - (2*t^7.33*y)/g1 + 2*g1^10*t^7.65*y + (t^7.68*y)/g1^8 - g1^21*t^7.97*y - g1^3*t^8.*y - (4*t^8.02*y)/g1^15 + g1^14*t^8.31*y - (t^8.34*y)/g1^4 - 2*g1^7*t^8.66*y - (2*t^8.68*y)/g1^11


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
45446 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_3q_2^2$ + $ M_4q_2^2$ + $ M_1\phi_1^2$ + $ q_1^2X_1$ 1.6922 1.7963 0.942 [X:[1.4667], M:[1.2, 0.8, 0.9333, 0.9333], q:[0.2667, 0.5333], qb:[], phi:[0.4]] 2*t^2.4 + 2*t^2.8 + t^3.6 + 2*t^4. + t^4.4 + 5*t^4.8 + 3*t^5.2 + 4*t^5.6 + t^6. - t^4.2/y - t^5./y - t^5.8/y - t^4.2*y - t^5.*y - t^5.8*y detail {a: 10153/6000, c: 5389/3000, X1: 22/15, M1: 6/5, M2: 4/5, M3: 14/15, M4: 14/15, q1: 4/15, q2: 8/15, phi1: 2/5}


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
45235 SO5adj1nf2 $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_3q_2^2$ 1.8019 1.9337 0.9318 [X:[], M:[1.0083, 0.6722, 0.8907], q:[0.437, 0.5546], qb:[], phi:[0.3361]] 2*t^2.02 + t^2.62 + t^2.67 + t^3.03 + t^3.33 + t^3.68 + 4*t^4.03 + 3*t^4.64 + 2*t^4.69 + t^4.99 + 2*t^5.04 + t^5.24 + t^5.29 + 4*t^5.34 + 3*t^5.7 + t^5.95 - t^4.01/y - t^5.32/y - t^5.67/y - t^4.01*y - t^5.32*y - t^5.67*y detail