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$a$ =

$c$ =

$\leq a \leq$

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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
44956 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ 1.7222 1.8077 0.9527 [X:[1.3878], M:[0.7755], q:[0.6122, 0.4694], qb:[], phi:[0.3061]] [X:[[2]], M:[[4]], q:[[-2], [5]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ q_2^2$, $ \phi_1^2q_2$, $ q_1q_2$, $ \phi_1^4$, $ q_1^2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ \phi_1^2q_1^2$, $ M_1q_1q_2$, $ q_2^4$ $\phi_1^3q_1q_2$ 0 t^2.33 + t^2.82 + 2*t^3.24 + 2*t^3.67 + 2*t^4.16 + 2*t^4.65 + t^5.08 + t^5.14 + t^5.51 + t^5.57 + t^5.63 + 2*t^6.06 - 2*t^6.43 + 6*t^6.49 + 3*t^6.92 + 4*t^6.98 + 2*t^7.35 + 4*t^7.41 + 2*t^7.47 + 4*t^7.84 + 4*t^7.9 + t^7.96 - t^8.27 + 5*t^8.33 + t^8.39 + t^8.45 + t^8.76 + 3*t^8.82 + 2*t^8.88 - t^3.92/y - t^5.33/y - (2*t^5.76)/y - t^6.24/y - t^6.73/y - (2*t^7.16)/y - (2*t^7.59)/y - t^7.65/y - (2*t^8.08)/y + t^8.51/y - (3*t^8.57)/y - t^3.92*y - t^5.33*y - 2*t^5.76*y - t^6.24*y - t^6.73*y - 2*t^7.16*y - 2*t^7.59*y - t^7.65*y - 2*t^8.08*y + t^8.51*y - 3*t^8.57*y g1^4*t^2.33 + g1^10*t^2.82 + 2*g1^3*t^3.24 + (2*t^3.67)/g1^4 + 2*g1^2*t^4.16 + 2*g1^8*t^4.65 + g1*t^5.08 + g1^14*t^5.14 + t^5.51/g1^6 + g1^7*t^5.57 + g1^20*t^5.63 + 2*g1^13*t^6.06 - (2*t^6.43)/g1^7 + 6*g1^6*t^6.49 + (3*t^6.92)/g1 + 4*g1^12*t^6.98 + (2*t^7.35)/g1^8 + 4*g1^5*t^7.41 + 2*g1^18*t^7.47 + (4*t^7.84)/g1^2 + 4*g1^11*t^7.9 + g1^24*t^7.96 - t^8.27/g1^9 + 5*g1^4*t^8.33 + g1^17*t^8.39 + g1^30*t^8.45 + t^8.76/g1^3 + 3*g1^10*t^8.82 + 2*g1^23*t^8.88 - t^3.92/(g1*y) - (g1^4*t^5.33)/y - (2*t^5.76)/(g1^3*y) - (g1^3*t^6.24)/y - (g1^9*t^6.73)/y - (2*g1^2*t^7.16)/y - (2*t^7.59)/(g1^5*y) - (g1^8*t^7.65)/y - (2*g1*t^8.08)/y + t^8.51/(g1^6*y) - (3*g1^7*t^8.57)/y - (t^3.92*y)/g1 - g1^4*t^5.33*y - (2*t^5.76*y)/g1^3 - g1^3*t^6.24*y - g1^9*t^6.73*y - 2*g1^2*t^7.16*y - (2*t^7.59*y)/g1^5 - g1^8*t^7.65*y - 2*g1*t^8.08*y + (t^8.51*y)/g1^6 - 3*g1^7*t^8.57*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
45090 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ 1.7402 1.841 0.9453 [X:[1.385], M:[0.77, 0.77], q:[0.615, 0.4624], qb:[], phi:[0.3075]] 2*t^2.31 + t^2.77 + 2*t^3.23 + t^3.69 + 2*t^4.15 + 4*t^4.62 + 3*t^5.08 + 4*t^5.54 + t^5.55 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y detail
44994 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ q_2^2$ 1.1505 1.163 0.9893 [X:[1.6], M:[1.2], q:[0.4, 1.0], qb:[], phi:[0.2]] 2*t^2.4 + 2*t^3.6 + 4*t^4.8 + 2*t^6. - t^3.6/y - (2*t^4.8)/y - (2*t^6.)/y - t^3.6*y - 2*t^4.8*y - 2*t^6.*y detail {a: 2301/2000, c: 1163/1000, X1: 8/5, M1: 6/5, q1: 2/5, q2: 1, phi1: 1/5}
45086 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ q_2^4$ 1.7197 1.8009 0.9549 [X:[1.4], M:[0.8], q:[0.6, 0.5], qb:[], phi:[0.3]] t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^4.2 + 2*t^4.8 + t^5.1 + 2*t^5.4 + t^5.7 + t^6. - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y detail {a: 55029/32000, c: 57629/32000, X1: 7/5, M1: 4/5, q1: 3/5, q2: 1/2, phi1: 3/10}


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
44918 SO5adj1nf2 $M_1\phi_1^2q_1$ 1.8177 1.9448 0.9347 [X:[], M:[0.809], q:[0.4541, 0.4406], qb:[], phi:[0.3684]] t^2.21 + t^2.43 + t^2.64 + t^2.68 + t^2.72 + t^3.53 + t^3.79 + 2*t^4.42 + t^4.64 + 3*t^4.85 + 2*t^4.89 + 2*t^4.94 + t^5.07 + t^5.11 + t^5.15 + t^5.29 + t^5.33 + 2*t^5.37 + t^5.41 + t^5.45 + t^5.74 - t^4.11/y - t^5.43/y - t^5.47/y - t^4.11*y - t^5.43*y - t^5.47*y detail
44919 SO5adj1nf2 $M_1\phi_1^2$ 1.7824 1.8817 0.9472 [X:[], M:[1.2605], q:[0.4454, 0.4454], qb:[], phi:[0.3698]] 3*t^2.67 + 2*t^3.55 + 2*t^3.78 + t^4.44 + 3*t^4.89 + 6*t^5.34 - 3*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y detail