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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
45387 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ 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]] [X:[[6]], M:[[-2], [-16], [12], [-9]], q:[[8], [1]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ M_1$, $ M_4$, $ 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$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_2M_3$, $ \phi_1^2q_2^2$, $ M_3q_2^2$, $ M_1M_4$, $ M_1M_2$, $ M_4^2$ $\phi_1^3q_1q_2$ 0 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 + 2*t^6.12 + t^6.17 + t^6.24 + t^6.45 + t^6.57 + 2*t^6.69 + 2*t^6.81 + t^6.86 + 2*t^6.98 + 2*t^7.1 + 2*t^7.27 + 6*t^7.39 + t^7.51 + 4*t^7.67 + 5*t^7.96 + 3*t^8.08 + 2*t^8.2 + 3*t^8.25 + t^8.32 + 4*t^8.53 + 3*t^8.77 + 2*t^8.82 + 2*t^8.89 - t^3.98/y - t^5.37/y - t^5.65/y - t^5.94/y - t^6.06/y - t^6.63/y - t^6.92/y - t^7.21/y - t^7.33/y - t^7.45/y - t^7.61/y - (2*t^8.02)/y - t^8.14/y + t^8.43/y - t^8.59/y - t^8.71/y - t^8.88/y - t^3.98*y - t^5.37*y - t^5.65*y - t^5.94*y - t^6.06*y - t^6.63*y - t^6.92*y - t^7.21*y - t^7.33*y - t^7.45*y - t^7.61*y - 2*t^8.02*y - t^8.14*y + t^8.43*y - t^8.59*y - t^8.71*y - t^8.88*y g1^12*t^2.08 + t^2.65/g1^2 + t^2.94/g1^9 + t^3.23/g1^16 + g1^2*t^3.35 + t^3.63/g1^5 + 2*g1^6*t^4.04 + g1^24*t^4.16 + 2*g1^10*t^4.73 + 2*g1^3*t^5.02 + (3*t^5.31)/g1^4 + g1^14*t^5.43 + t^5.59/g1^11 + (2*t^5.88)/g1^18 + 2*g1^18*t^6.12 + t^6.17/g1^25 + g1^36*t^6.24 + t^6.45/g1^32 + t^6.57/g1^14 + 2*g1^4*t^6.69 + 2*g1^22*t^6.81 + t^6.86/g1^21 + (2*t^6.98)/g1^3 + 2*g1^15*t^7.1 + (2*t^7.27)/g1^10 + 6*g1^8*t^7.39 + g1^26*t^7.51 + 4*g1*t^7.67 + (5*t^7.96)/g1^6 + 3*g1^12*t^8.08 + 2*g1^30*t^8.2 + (3*t^8.25)/g1^13 + g1^48*t^8.32 + (4*t^8.53)/g1^20 + 3*g1^16*t^8.77 + (2*t^8.82)/g1^27 + 2*g1^34*t^8.89 - t^3.98/(g1^3*y) - (g1^5*t^5.37)/y - t^5.65/(g1^2*y) - t^5.94/(g1^9*y) - (g1^9*t^6.06)/y - t^6.63/(g1^5*y) - t^6.92/(g1^12*y) - t^7.21/(g1^19*y) - t^7.33/(g1*y) - (g1^17*t^7.45)/y - t^7.61/(g1^8*y) - (2*g1^3*t^8.02)/y - (g1^21*t^8.14)/y + (g1^14*t^8.43)/y - t^8.59/(g1^11*y) - (g1^7*t^8.71)/y - t^8.88/(g1^18*y) - (t^3.98*y)/g1^3 - g1^5*t^5.37*y - (t^5.65*y)/g1^2 - (t^5.94*y)/g1^9 - g1^9*t^6.06*y - (t^6.63*y)/g1^5 - (t^6.92*y)/g1^12 - (t^7.21*y)/g1^19 - (t^7.33*y)/g1 - g1^17*t^7.45*y - (t^7.61*y)/g1^8 - 2*g1^3*t^8.02*y - g1^21*t^8.14*y + g1^14*t^8.43*y - (t^8.59*y)/g1^11 - g1^7*t^8.71*y - (t^8.88*y)/g1^18


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
45501 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_1M_5$ 1.7615 1.8578 0.9482 [X:[1.3444], M:[0.8852, 1.0817, 0.6888, 0.9834, 1.1148], q:[0.4592, 0.5574], qb:[], phi:[0.3278]] t^2.07 + t^2.95 + t^3.24 + 2*t^3.34 + t^3.64 + 2*t^4.03 + t^4.13 + t^4.72 + 2*t^5.02 + 2*t^5.31 + 2*t^5.41 + t^5.9 - t^6. - t^3.98/y - t^5.36/y - t^5.66/y - t^5.95/y - t^3.98*y - t^5.36*y - t^5.66*y - t^5.95*y detail
45523 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_3^2$ + $ M_2X_2$ 1.611 1.6839 0.9567 [X:[1.5, 1.3333], M:[0.8333, 0.6667, 1.0, 0.75], q:[0.6667, 0.5833], qb:[], phi:[0.25]] t^2.25 + t^2.5 + t^3. + t^3.25 + t^3.5 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + t^6. - t^3.75/y - t^5.25/y - t^5.5/y - t^5.75/y - t^6./y - t^3.75*y - t^5.25*y - t^5.5*y - t^5.75*y - t^6.*y detail {a: 4949/3072, c: 5173/3072, X1: 3/2, X2: 4/3, M1: 5/6, M2: 2/3, M3: 1, M4: 3/4, q1: 2/3, q2: 7/12, phi1: 1/4}
45502 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ 1.7891 1.9061 0.9386 [X:[1.3428], M:[0.8857, 1.0858, 0.6856, 0.9858, 0.7857], q:[0.4571, 0.5571], qb:[], phi:[0.3286]] t^2.06 + t^2.36 + t^2.66 + t^2.96 + t^3.26 + t^3.34 + 2*t^4.03 + t^4.11 + t^4.41 + 3*t^4.71 + 3*t^5.01 + 4*t^5.31 + t^5.4 + 2*t^5.61 + 2*t^5.91 - t^3.99/y - t^5.36/y - t^5.66/y - t^5.96/y - t^3.99*y - t^5.36*y - t^5.66*y - t^5.96*y detail
45433 $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5q_2^2$ 1.7823 1.8928 0.9416 [X:[1.3491], M:[0.8836, 1.0691, 0.6982, 0.9764, 0.8836], q:[0.4654, 0.5582], qb:[], phi:[0.3255]] t^2.09 + 2*t^2.65 + t^2.93 + t^3.21 + t^3.63 + 2*t^4.05 + t^4.19 + 3*t^4.75 + 2*t^5.02 + 5*t^5.3 + 2*t^5.58 + 3*t^5.86 - t^6. - t^3.98/y - t^5.37/y - t^5.65/y - t^5.93/y - t^3.98*y - t^5.37*y - t^5.65*y - t^5.93*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
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]] 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 - 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