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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
8372 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ 1.1778 1.3097 0.8993 [X:[1.6443], M:[0.8892, 0.8455], q:[0.4446, 0.4883], qb:[], phi:[0.1778]] [X:[[4]], M:[[-10], [-32]], q:[[-5], [17]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\phi_1^4$, $ M_2$, $ M_1$, $ q_1q_2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_2\phi_1^4$, $ M_1\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ \phi_1^5q_1^2$, $ M_2q_1q_2$, $ M_1q_1q_2$, $ q_1^2q_2^2$, $ M_2\phi_1q_1^2$ $\phi_1^6q_1q_2$ 0 t^2.13 + t^2.54 + t^2.67 + t^2.8 + t^3.2 + t^3.87 + 2*t^4.27 + t^4.4 + t^4.53 + t^4.67 + t^4.8 + 2*t^4.93 + t^5.07 + t^5.2 + 3*t^5.34 + t^5.47 + t^5.6 + t^5.74 - t^6.13 + 3*t^6.4 + t^6.53 + t^6.66 + 2*t^6.8 + 2*t^6.94 + 5*t^7.07 + t^7.2 + t^7.21 + t^7.33 + t^7.34 + 4*t^7.47 + 2*t^7.6 + t^7.61 + 2*t^7.73 + t^7.74 + 3*t^7.87 + 2*t^8. + 4*t^8.13 + t^8.27 + t^8.4 + 3*t^8.54 - 2*t^8.67 + 3*t^8.94 + t^8.13/y^2 - t^8.67/y^2 - t^3.53/y - t^4.6/y - t^5.67/y - t^6.07/y - t^6.2/y - t^6.33/y - (2*t^6.73)/y - t^7.14/y - t^7.27/y - t^7.4/y + t^7.67/y - t^7.8/y + t^7.93/y + t^8.34/y - t^8.61/y - (3*t^8.87)/y - t^3.53*y - t^4.6*y - t^5.67*y - t^6.07*y - t^6.2*y - t^6.33*y - 2*t^6.73*y - t^7.14*y - t^7.27*y - t^7.4*y + t^7.67*y - t^7.8*y + t^7.93*y + t^8.34*y - t^8.61*y - 3*t^8.87*y + t^8.13*y^2 - t^8.67*y^2 t^2.13/g1^8 + t^2.54/g1^32 + t^2.67/g1^10 + g1^12*t^2.8 + t^3.2/g1^12 + g1^8*t^3.87 + (2*t^4.27)/g1^16 + g1^6*t^4.4 + g1^28*t^4.53 + t^4.67/g1^40 + t^4.8/g1^18 + 2*g1^4*t^4.93 + t^5.07/g1^64 + t^5.2/g1^42 + (3*t^5.34)/g1^20 + g1^2*t^5.47 + g1^24*t^5.6 + t^5.74/g1^44 - g1^22*t^6.13 + (3*t^6.4)/g1^24 + t^6.53/g1^2 + g1^20*t^6.66 + (2*t^6.8)/g1^48 + (2*t^6.94)/g1^26 + (5*t^7.07)/g1^4 + g1^18*t^7.2 + t^7.21/g1^72 + g1^40*t^7.33 + t^7.34/g1^50 + (4*t^7.47)/g1^28 + (2*t^7.6)/g1^6 + t^7.61/g1^96 + 2*g1^16*t^7.73 + t^7.74/g1^74 + (3*t^7.87)/g1^52 + (2*t^8.)/g1^30 + (4*t^8.13)/g1^8 + t^8.27/g1^76 + g1^36*t^8.4 + (3*t^8.54)/g1^32 - (2*t^8.67)/g1^10 + (3*t^8.94)/g1^56 + t^8.13/(g1^8*y^2) - t^8.67/(g1^10*y^2) - t^3.53/(g1^2*y) - t^4.6/(g1^6*y) - t^5.67/(g1^10*y) - t^6.07/(g1^34*y) - t^6.2/(g1^12*y) - (g1^10*t^6.33)/y - (2*t^6.73)/(g1^14*y) - t^7.14/(g1^38*y) - t^7.27/(g1^16*y) - (g1^6*t^7.4)/y + t^7.67/(g1^40*y) - t^7.8/(g1^18*y) + (g1^4*t^7.93)/y + t^8.34/(g1^20*y) - t^8.61/(g1^66*y) - (3*t^8.87)/(g1^22*y) - (t^3.53*y)/g1^2 - (t^4.6*y)/g1^6 - (t^5.67*y)/g1^10 - (t^6.07*y)/g1^34 - (t^6.2*y)/g1^12 - g1^10*t^6.33*y - (2*t^6.73*y)/g1^14 - (t^7.14*y)/g1^38 - (t^7.27*y)/g1^16 - g1^6*t^7.4*y + (t^7.67*y)/g1^40 - (t^7.8*y)/g1^18 + g1^4*t^7.93*y + (t^8.34*y)/g1^20 - (t^8.61*y)/g1^66 - (3*t^8.87*y)/g1^22 + (t^8.13*y^2)/g1^8 - (t^8.67*y^2)/g1^10


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
8510 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ 1.1506 1.2785 0.8999 [X:[1.619], M:[0.9524, 1.0476], q:[0.4762, 0.381], qb:[], phi:[0.1905]] t^2.29 + t^2.57 + t^2.86 + t^3.14 + t^3.43 + t^3.71 + t^4. + t^4.29 + 2*t^4.57 + 2*t^4.86 + 2*t^5.14 + 2*t^5.43 + 2*t^5.71 + t^6. - t^3.57/y - t^4.71/y - t^5.86/y - t^3.57*y - t^4.71*y - t^5.86*y detail {a: 18943/16464, c: 10525/8232, X1: 34/21, M1: 20/21, M2: 22/21, q1: 10/21, q2: 8/21, phi1: 4/21}
8509 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_2^2$ 1.1617 1.2906 0.9001 [X:[1.625], M:[0.9375, 1.0], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + t^5.06 + 2*t^5.25 + t^5.44 + 3*t^5.62 + t^6. - t^3.56/y - t^4.69/y - t^5.81/y - t^3.56*y - t^4.69*y - t^5.81*y detail {a: 152271/131072, c: 169167/131072, X1: 13/8, M1: 15/16, M2: 1, q1: 15/32, q2: 13/32, phi1: 3/16}
8513 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^2q_1q_2$ 1.1981 1.3482 0.8887 [X:[1.6448], M:[0.8879, 0.8414, 0.7103], q:[0.444, 0.4905], qb:[], phi:[0.1776]] 2*t^2.13 + t^2.52 + t^2.66 + t^2.8 + t^3.2 + 4*t^4.26 + t^4.4 + t^4.54 + 2*t^4.66 + 2*t^4.79 + 3*t^4.93 + t^5.05 + t^5.19 + 4*t^5.33 + t^5.47 + t^5.61 + t^5.72 - t^6. - t^3.53/y - t^4.6/y - (2*t^5.66)/y - t^3.53*y - t^4.6*y - 2*t^5.66*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
8197 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ 1.1667 1.2917 0.9032 [X:[1.6363], M:[0.9092], q:[0.4546, 0.4544], qb:[], phi:[0.1818]] t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 4*t^4.36 + 3*t^4.91 + 3*t^5.45 + 2*t^5.46 + t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y detail