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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
45458 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ 1.8056 1.9269 0.937 [X:[], M:[0.8627, 1.1373, 0.9804, 1.0588, 0.7843], q:[0.4314, 0.5098], qb:[], phi:[0.3529]] [X:[], M:[[4], [-4], [-14], [-9], [-1]], q:[[2], [7]], qb:[], phi:[[-3]]] 1 {a: 8349/4624, c: 4455/2312, M1: 44/51, M2: 58/51, M3: 50/51, M4: 18/17, M5: 40/51, q1: 22/51, q2: 26/51, phi1: 6/17}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^2$, $ M_5$, $ M_1$, $ M_3$, $ M_4$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ M_1M_5$, $ \phi_1^2q_1q_2$, $ M_3\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_2M_5$, $ M_3^2$ $2\phi_1^3q_1q_2$ 1 t^2.12 + t^2.35 + t^2.59 + t^2.94 + t^3.18 + t^3.41 + t^3.88 + 2*t^4.24 + t^4.47 + 3*t^4.71 + 2*t^4.94 + t^5.06 + 2*t^5.18 + 2*t^5.29 + 3*t^5.53 + t^5.76 + t^5.88 + t^6. + t^6.12 + 4*t^6.35 + t^6.47 + 2*t^6.59 + 4*t^6.82 + 4*t^7.06 + 2*t^7.18 + 5*t^7.29 + 3*t^7.41 + 3*t^7.53 + 6*t^7.65 + 2*t^7.76 + 4*t^7.88 + t^8. + 6*t^8.12 + 2*t^8.24 + 7*t^8.47 + t^8.59 + 4*t^8.71 + t^8.82 + 5*t^8.94 - t^4.06/y - t^5.35/y - t^5.59/y - (2*t^6.18)/y - t^6.41/y - t^6.65/y - t^7./y - t^7.24/y - t^7.47/y - t^7.71/y - t^7.94/y + t^8.06/y - t^8.18/y - (2*t^8.29)/y - (2*t^8.76)/y - t^4.06*y - t^5.35*y - t^5.59*y - 2*t^6.18*y - t^6.41*y - t^6.65*y - t^7.*y - t^7.24*y - t^7.47*y - t^7.71*y - t^7.94*y + t^8.06*y - t^8.18*y - 2*t^8.29*y - 2*t^8.76*y t^2.12/g1^6 + t^2.35/g1 + g1^4*t^2.59 + t^2.94/g1^14 + t^3.18/g1^9 + t^3.41/g1^4 + g1^6*t^3.88 + (2*t^4.24)/g1^12 + t^4.47/g1^7 + (3*t^4.71)/g1^2 + 2*g1^3*t^4.94 + t^5.06/g1^20 + 2*g1^8*t^5.18 + (2*t^5.29)/g1^15 + (3*t^5.53)/g1^10 + t^5.76/g1^5 + t^5.88/g1^28 + t^6. + t^6.12/g1^23 + (4*t^6.35)/g1^18 + g1^10*t^6.47 + (2*t^6.59)/g1^13 + (4*t^6.82)/g1^8 + (4*t^7.06)/g1^3 + (2*t^7.18)/g1^26 + 5*g1^2*t^7.29 + (3*t^7.41)/g1^21 + 3*g1^7*t^7.53 + (6*t^7.65)/g1^16 + 2*g1^12*t^7.76 + (4*t^7.88)/g1^11 + t^8./g1^34 + (6*t^8.12)/g1^6 + (2*t^8.24)/g1^29 + (7*t^8.47)/g1^24 + g1^4*t^8.59 + (4*t^8.71)/g1^19 + t^8.82/g1^42 + (5*t^8.94)/g1^14 - t^4.06/(g1^3*y) - t^5.35/(g1*y) - (g1^4*t^5.59)/y - (2*t^6.18)/(g1^9*y) - t^6.41/(g1^4*y) - (g1*t^6.65)/y - t^7./(g1^17*y) - t^7.24/(g1^12*y) - t^7.47/(g1^7*y) - t^7.71/(g1^2*y) - (g1^3*t^7.94)/y + t^8.06/(g1^20*y) - (g1^8*t^8.18)/y - (2*t^8.29)/(g1^15*y) - (2*t^8.76)/(g1^5*y) - (t^4.06*y)/g1^3 - (t^5.35*y)/g1 - g1^4*t^5.59*y - (2*t^6.18*y)/g1^9 - (t^6.41*y)/g1^4 - g1*t^6.65*y - (t^7.*y)/g1^17 - (t^7.24*y)/g1^12 - (t^7.47*y)/g1^7 - (t^7.71*y)/g1^2 - g1^3*t^7.94*y + (t^8.06*y)/g1^20 - g1^8*t^8.18*y - (2*t^8.29*y)/g1^15 - (2*t^8.76*y)/g1^5


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
45548 $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ + $ M_2M_6$ 1.8179 1.9475 0.9335 [X:[], M:[0.8589, 1.1411, 0.994, 1.0676, 0.7853, 0.8589], q:[0.4294, 0.503], qb:[], phi:[0.3559]] t^2.14 + t^2.36 + 2*t^2.58 + t^2.98 + t^3.2 + t^3.86 + 2*t^4.27 + t^4.49 + 4*t^4.71 + 3*t^4.93 + t^5.12 + 4*t^5.15 + 2*t^5.34 + 3*t^5.56 + t^5.78 + t^5.96 - t^4.07/y - t^5.36/y - t^5.58/y - t^4.07*y - t^5.36*y - t^5.58*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
45371 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4q_1q_2$ 1.7882 1.8959 0.9432 [X:[], M:[0.8621, 1.1379, 0.9828, 1.0604], q:[0.431, 0.5086], qb:[], phi:[0.3535]] t^2.12 + t^2.59 + t^2.95 + t^3.18 + t^3.41 + t^3.65 + t^3.88 + 2*t^4.24 + 2*t^4.71 + t^4.94 + t^5.07 + 2*t^5.17 + t^5.3 + 2*t^5.53 + t^5.77 + t^5.9 + t^6. - t^4.06/y - t^5.35/y - t^5.59/y - t^4.06*y - t^5.35*y - t^5.59*y detail