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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
45201 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ 1.7585 1.8752 0.9378 [X:[1.3824], M:[0.7649, 0.7649, 0.7649], q:[0.6176, 0.4561], qb:[], phi:[0.3088]] [X:[[2]], M:[[4], [4], [4]], q:[[-2], [5]], qb:[], phi:[[-1]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_1$, $ M_2$, $ M_3$, $ q_2^2$, $ \phi_1^2q_2$, $ q_1q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_1q_2^2$, $ M_2q_2^2$, $ M_3q_2^2$, $ \phi_1^2q_1q_2$, $ q_2^4$, $ M_2\phi_1^2q_2$, $ M_3\phi_1^2q_2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_2^3$, $ q_1q_2^3$ $\phi_1^3q_1q_2$ -2 3*t^2.29 + t^2.74 + 2*t^3.22 + 2*t^4.15 + 7*t^4.59 + 3*t^5.03 + t^5.07 + t^5.47 + 5*t^5.52 + t^5.56 + 2*t^5.96 - 2*t^6. + 8*t^6.44 - 2*t^6.48 + 15*t^6.88 - t^6.93 + 7*t^7.33 + 6*t^7.37 - t^7.41 + 3*t^7.77 + 12*t^7.81 + 2*t^7.85 + t^8.21 + 5*t^8.25 - 3*t^8.29 - t^8.34 + 2*t^8.69 + 15*t^8.74 - 5*t^8.78 - t^3.93/y - t^5.29/y - (2*t^5.78)/y - (3*t^6.22)/y - t^6.66/y - (2*t^7.15)/y + (2*t^8.03)/y - (6*t^8.07)/y - (4*t^8.52)/y + t^8.56/y - t^8.96/y - t^3.93*y - t^5.29*y - 2*t^5.78*y - 3*t^6.22*y - t^6.66*y - 2*t^7.15*y + 2*t^8.03*y - 6*t^8.07*y - 4*t^8.52*y + t^8.56*y - t^8.96*y 3*g1^4*t^2.29 + g1^10*t^2.74 + 2*g1^3*t^3.22 + 2*g1^2*t^4.15 + 7*g1^8*t^4.59 + 3*g1^14*t^5.03 + g1*t^5.07 + g1^20*t^5.47 + 5*g1^7*t^5.52 + t^5.56/g1^6 + 2*g1^13*t^5.96 - 2*t^6. + 8*g1^6*t^6.44 - (2*t^6.48)/g1^7 + 15*g1^12*t^6.88 - t^6.93/g1 + 7*g1^18*t^7.33 + 6*g1^5*t^7.37 - t^7.41/g1^8 + 3*g1^24*t^7.77 + 12*g1^11*t^7.81 + (2*t^7.85)/g1^2 + g1^30*t^8.21 + 5*g1^17*t^8.25 - 3*g1^4*t^8.29 - t^8.34/g1^9 + 2*g1^23*t^8.69 + 15*g1^10*t^8.74 - (5*t^8.78)/g1^3 - t^3.93/(g1*y) - (g1^4*t^5.29)/y - (2*t^5.78)/(g1^3*y) - (3*g1^3*t^6.22)/y - (g1^9*t^6.66)/y - (2*g1^2*t^7.15)/y + (2*g1^14*t^8.03)/y - (6*g1*t^8.07)/y - (4*g1^7*t^8.52)/y + t^8.56/(g1^6*y) - (g1^13*t^8.96)/y - (t^3.93*y)/g1 - g1^4*t^5.29*y - (2*t^5.78*y)/g1^3 - 3*g1^3*t^6.22*y - g1^9*t^6.66*y - 2*g1^2*t^7.15*y + 2*g1^14*t^8.03*y - 6*g1*t^8.07*y - 4*g1^7*t^8.52*y + (t^8.56*y)/g1^6 - g1^13*t^8.96*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
45269 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_1q_2$ 1.7655 1.8851 0.9366 [X:[1.3859], M:[0.7717, 0.7717, 0.7717, 0.9212], q:[0.6141, 0.4647], qb:[], phi:[0.3071]] 3*t^2.32 + t^2.76 + t^2.79 + t^3.24 + 2*t^4.16 + 7*t^4.63 + 4*t^5.08 + 3*t^5.1 + 2*t^5.53 + 3*t^5.55 + t^5.58 - t^6. - t^3.92/y - t^5.32/y - (2*t^5.76)/y - t^3.92*y - t^5.32*y - 2*t^5.76*y detail
45382 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_2^2$ 1.7532 1.8609 0.9421 [X:[1.3947], M:[0.7894, 0.7894, 0.7894, 1.0264], q:[0.6053, 0.4868], qb:[], phi:[0.3026]] 3*t^2.37 + t^3.08 + 2*t^3.28 + 2*t^4.18 + 7*t^4.74 + t^5.09 + 4*t^5.45 + 5*t^5.64 - 2*t^6. - t^3.91/y - t^5.37/y - (2*t^5.72)/y - t^3.91*y - t^5.37*y - 2*t^5.72*y detail
45377 $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ q_1q_2^3$ 1.7584 1.8738 0.9384 [X:[1.3846], M:[0.7692, 0.7692, 0.7692], q:[0.6154, 0.4615], qb:[], phi:[0.3077]] 3*t^2.31 + t^2.77 + 2*t^3.23 + 2*t^4.15 + 7*t^4.62 + 4*t^5.08 + 7*t^5.54 - 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 {a: 15453/8788, c: 16467/8788, X1: 18/13, M1: 10/13, M2: 10/13, M3: 10/13, q1: 8/13, q2: 6/13, phi1: 4/13}


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
45090 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ 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