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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
45502 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$ + $ 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]] [X:[[6]], M:[[-2], [-16], [12], [-9], [5]], q:[[8], [1]], qb:[], phi:[[-3]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_3$, $ M_5$, $ M_1$, $ M_4$, $ M_2$, $ q_2^2$, $ \phi_1q_1q_2$, $ X_1$, $ M_3^2$, $ M_3M_5$, $ M_1M_3$, $ M_5^2$, $ \phi_1^2q_1^2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_2M_3$, $ M_4M_5$, $ \phi_1^2q_2^2$, $ M_3q_2^2$, $ M_1M_4$, $ M_2M_5$, $ M_1M_2$, $ M_4^2$ $\phi_1^3q_1q_2$ 0 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 + 2*t^6.09 + t^6.17 + t^6.21 - t^6.3 + 2*t^6.39 + t^6.47 + t^6.51 + 2*t^6.69 + 3*t^6.77 + t^6.99 + 5*t^7.07 + t^7.29 + 9*t^7.37 + t^7.46 + 6*t^7.67 + 7*t^7.97 + 3*t^8.06 + 2*t^8.14 + t^8.23 + 5*t^8.27 - 2*t^8.36 + 2*t^8.44 + t^8.53 + 5*t^8.57 - 3*t^8.66 + 5*t^8.74 + 3*t^8.83 + 3*t^8.87 - 3*t^8.96 - t^3.99/y - t^5.36/y - t^5.66/y - t^5.96/y - t^6.04/y - t^6.34/y - t^6.64/y - t^6.94/y - t^7.24/y - t^7.33/y - t^7.71/y - (2*t^8.01)/y - t^8.1/y - (2*t^8.7)/y - t^8.91/y - t^3.99*y - t^5.36*y - t^5.66*y - t^5.96*y - t^6.04*y - t^6.34*y - t^6.64*y - t^6.94*y - t^7.24*y - t^7.33*y - t^7.71*y - 2*t^8.01*y - t^8.1*y - 2*t^8.7*y - t^8.91*y g1^12*t^2.06 + g1^5*t^2.36 + t^2.66/g1^2 + t^2.96/g1^9 + t^3.26/g1^16 + g1^2*t^3.34 + 2*g1^6*t^4.03 + g1^24*t^4.11 + g1^17*t^4.41 + 3*g1^10*t^4.71 + 3*g1^3*t^5.01 + (4*t^5.31)/g1^4 + g1^14*t^5.4 + (2*t^5.61)/g1^11 + (2*t^5.91)/g1^18 + 2*g1^18*t^6.09 + g1^36*t^6.17 + t^6.21/g1^25 - t^6.3/g1^7 + 2*g1^11*t^6.39 + g1^29*t^6.47 + t^6.51/g1^32 + 2*g1^4*t^6.69 + 3*g1^22*t^6.77 + t^6.99/g1^3 + 5*g1^15*t^7.07 + t^7.29/g1^10 + 9*g1^8*t^7.37 + g1^26*t^7.46 + 6*g1*t^7.67 + (7*t^7.97)/g1^6 + 3*g1^12*t^8.06 + 2*g1^30*t^8.14 + g1^48*t^8.23 + (5*t^8.27)/g1^13 - 2*g1^5*t^8.36 + 2*g1^23*t^8.44 + g1^41*t^8.53 + (5*t^8.57)/g1^20 - (3*t^8.66)/g1^2 + 5*g1^16*t^8.74 + 3*g1^34*t^8.83 + (3*t^8.87)/g1^27 - (3*t^8.96)/g1^9 - t^3.99/(g1^3*y) - (g1^5*t^5.36)/y - t^5.66/(g1^2*y) - t^5.96/(g1^9*y) - (g1^9*t^6.04)/y - (g1^2*t^6.34)/y - t^6.64/(g1^5*y) - t^6.94/(g1^12*y) - t^7.24/(g1^19*y) - t^7.33/(g1*y) - (g1^10*t^7.71)/y - (2*g1^3*t^8.01)/y - (g1^21*t^8.1)/y - (2*g1^7*t^8.7)/y - t^8.91/(g1^18*y) - (t^3.99*y)/g1^3 - g1^5*t^5.36*y - (t^5.66*y)/g1^2 - (t^5.96*y)/g1^9 - g1^9*t^6.04*y - g1^2*t^6.34*y - (t^6.64*y)/g1^5 - (t^6.94*y)/g1^12 - (t^7.24*y)/g1^19 - (t^7.33*y)/g1 - g1^10*t^7.71*y - 2*g1^3*t^8.01*y - g1^21*t^8.1*y - 2*g1^7*t^8.7*y - (t^8.91*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
45543 $M_1\phi_1^2q_1$ + $ 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$ + $ M_1M_6$ 1.7789 1.889 0.9417 [X:[1.3405], M:[0.8865, 1.092, 0.681, 0.9893, 0.7837, 1.1135], q:[0.454, 0.5567], qb:[], phi:[0.3298]] t^2.04 + t^2.35 + t^2.97 + t^3.28 + 2*t^3.34 + 2*t^4.02 + t^4.09 + t^4.39 + 2*t^4.7 + 2*t^5.01 + 3*t^5.32 + 2*t^5.38 + t^5.63 + t^5.69 + t^5.94 - t^6. - t^3.99/y - t^5.35/y - t^5.66/y - t^5.97/y - t^3.99*y - t^5.35*y - t^5.66*y - t^5.97*y detail
45580 $M_1\phi_1^2q_1$ + $ 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$ + $ M_3M_5$ + $ M_2X_2$ 1.5587 1.6285 0.9571 [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] t^2.12 + t^2.47 + t^2.82 + t^3.18 + t^3.53 + 2*t^4.24 + 3*t^4.59 + 3*t^4.94 + 2*t^5.29 + 2*t^5.65 + t^6. - t^3.71/y - t^5.12/y - t^5.47/y - (2*t^5.82)/y - t^3.71*y - t^5.12*y - t^5.47*y - 2*t^5.82*y detail {a: 122523/78608, c: 64007/39304, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, q1: 12/17, q2: 10/17, phi1: 4/17}


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
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]] 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