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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

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
45242 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ 1.7708 1.8748 0.9446 [X:[1.3347], M:[0.8884, 1.1075, 0.6694], q:[0.4462, 0.5558], qb:[], phi:[0.3327]] [X:[[6]], M:[[-2], [-16], [12]], q:[[8], [1]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ M_1$, $ q_1q_2$, $ M_2$, $ q_2^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_3^2$, $ M_1M_3$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_3q_1q_2$, $ M_1^2$, $ M_2M_3$, $ \phi_1^2q_2^2$, $ M_3q_2^2$, $ M_3\phi_1^2q_2$, $ M_1M_2$ $\phi_1^3q_1q_2$ 0 t^2.01 + t^2.67 + t^3.01 + t^3.32 + t^3.33 + t^3.66 + 2*t^4. + t^4.02 + 2*t^4.67 + t^5. + t^5.01 + 3*t^5.33 + t^5.34 + t^5.67 + t^5.99 + 3*t^6.01 + t^6.02 + t^6.34 + t^6.65 + 3*t^6.67 + 2*t^6.68 + t^6.99 + 3*t^7.01 + t^7.02 + 2*t^7.33 + 6*t^7.34 + t^7.35 + 2*t^7.67 + 2*t^7.68 + 3*t^8. + 4*t^8.01 + 3*t^8.02 + t^8.03 + 2*t^8.34 + t^8.35 + 3*t^8.65 + 4*t^8.68 + 2*t^8.69 + t^8.99 - t^4./y - t^5.34/y - t^5.67/y - t^5.99/y - t^6.01/y - t^6.66/y - t^7./y - t^7.32/y - t^7.33/y - t^7.34/y - t^7.66/y - (3*t^8.)/y + t^8.33/y - t^8.66/y - t^8.67/y - t^4.*y - t^5.34*y - t^5.67*y - t^5.99*y - t^6.01*y - t^6.66*y - t^7.*y - t^7.32*y - t^7.33*y - t^7.34*y - t^7.66*y - 3*t^8.*y + t^8.33*y - t^8.66*y - t^8.67*y g1^12*t^2.01 + t^2.67/g1^2 + g1^9*t^3.01 + t^3.32/g1^16 + g1^2*t^3.33 + t^3.66/g1^5 + 2*g1^6*t^4. + g1^24*t^4.02 + 2*g1^10*t^4.67 + g1^3*t^5. + g1^21*t^5.01 + (3*t^5.33)/g1^4 + g1^14*t^5.34 + g1^7*t^5.67 + t^5.99/g1^18 + 3*g1^18*t^6.01 + g1^36*t^6.02 + g1^11*t^6.34 + t^6.65/g1^32 + 3*g1^4*t^6.67 + 2*g1^22*t^6.68 + t^6.99/g1^21 + 3*g1^15*t^7.01 + g1^33*t^7.02 + (2*t^7.33)/g1^10 + 6*g1^8*t^7.34 + g1^26*t^7.35 + 2*g1*t^7.67 + 2*g1^19*t^7.68 + (3*t^8.)/g1^6 + 4*g1^12*t^8.01 + 3*g1^30*t^8.02 + g1^48*t^8.03 + 2*g1^5*t^8.34 + g1^23*t^8.35 + (3*t^8.65)/g1^20 + 4*g1^16*t^8.68 + 2*g1^34*t^8.69 + t^8.99/g1^9 - t^4./(g1^3*y) - (g1^5*t^5.34)/y - t^5.67/(g1^2*y) - t^5.99/(g1^9*y) - (g1^9*t^6.01)/y - t^6.66/(g1^5*y) - (g1^6*t^7.)/y - t^7.32/(g1^19*y) - t^7.33/(g1*y) - (g1^17*t^7.34)/y - t^7.66/(g1^8*y) - (3*g1^3*t^8.)/y + t^8.33/(g1^4*y) - t^8.66/(g1^11*y) - (g1^7*t^8.67)/y - (t^4.*y)/g1^3 - g1^5*t^5.34*y - (t^5.67*y)/g1^2 - (t^5.99*y)/g1^9 - g1^9*t^6.01*y - (t^6.66*y)/g1^5 - g1^6*t^7.*y - (t^7.32*y)/g1^19 - (t^7.33*y)/g1 - g1^17*t^7.34*y - (t^7.66*y)/g1^8 - 3*g1^3*t^8.*y + (t^8.33*y)/g1^4 - (t^8.66*y)/g1^11 - g1^7*t^8.67*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
45387 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ 1.7719 1.8752 0.9449 [X:[1.3467], M:[0.8844, 1.0754, 0.6935, 0.9799], q:[0.4623, 0.5578], qb:[], phi:[0.3266]] t^2.08 + t^2.65 + t^2.94 + t^3.23 + t^3.35 + t^3.63 + 2*t^4.04 + t^4.16 + 2*t^4.73 + 2*t^5.02 + 3*t^5.31 + t^5.43 + t^5.59 + 2*t^5.88 - t^3.98/y - t^5.37/y - t^5.65/y - t^5.94/y - t^3.98*y - t^5.37*y - t^5.65*y - t^5.94*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
45073 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ 1.75 1.8333 0.9546 [X:[1.335], M:[0.8883, 1.1067], q:[0.4467, 0.5558], qb:[], phi:[0.3325]] t^2.67 + t^3.01 + t^3.32 + t^3.33 + t^3.66 + t^3.99 + 2*t^4. + t^4.67 + t^5. + 2*t^5.33 + t^5.99 - t^4./y - t^5.34/y - t^5.67/y - t^5.99/y - t^4.*y - t^5.34*y - t^5.67*y - t^5.99*y detail