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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
8499 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ 1.1369 1.2463 0.9122 [X:[1.625], M:[1.0, 1.25], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 18627/16384, c: 20419/16384, X1: 13/8, M1: 1, M2: 5/4, q1: 15/32, q2: 13/32, phi1: 3/16}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$q_1q_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ q_1^2q_2^2$, $ M_1q_1q_2$ . 0 t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.62 + 3*t^6.38 + 3*t^6.75 + 2*t^6.94 + 3*t^7.12 + t^7.31 + 5*t^7.5 + t^7.69 + 3*t^7.88 + 2*t^8.06 + 5*t^8.25 + t^8.44 + 2*t^8.62 + t^8.81 + t^8.25/y^2 - t^3.56/y - t^4.69/y - t^6.19/y - t^6.56/y - t^6.75/y - t^6.94/y - (2*t^7.31)/y - t^7.69/y - t^7.88/y - t^8.06/y - t^8.44/y + t^8.62/y - t^3.56*y - t^4.69*y - t^6.19*y - t^6.56*y - t^6.75*y - t^6.94*y - 2*t^7.31*y - t^7.69*y - t^7.88*y - t^8.06*y - t^8.44*y + t^8.62*y + t^8.25*y^2 t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.62 + 3*t^6.38 + 3*t^6.75 + 2*t^6.94 + 3*t^7.12 + t^7.31 + 5*t^7.5 + t^7.69 + 3*t^7.88 + 2*t^8.06 + 5*t^8.25 + t^8.44 + 2*t^8.62 + t^8.81 + t^8.25/y^2 - t^3.56/y - t^4.69/y - t^6.19/y - t^6.56/y - t^6.75/y - t^6.94/y - (2*t^7.31)/y - t^7.69/y - t^7.88/y - t^8.06/y - t^8.44/y + t^8.62/y - t^3.56*y - t^4.69*y - t^6.19*y - t^6.56*y - t^6.75*y - t^6.94*y - 2*t^7.31*y - t^7.69*y - t^7.88*y - t^8.06*y - t^8.44*y + t^8.62*y + t^8.25*y^2


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
8702 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ + $ M_3\phi_1q_1q_2$ 1.1427 1.256 0.9098 [X:[1.625], M:[1.0, 1.25, 0.9375], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] t^2.62 + t^2.81 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.44 + 2*t^5.62 - t^3.56/y - t^4.69/y - t^3.56*y - t^4.69*y detail {a: 149775/131072, c: 164623/131072, X1: 13/8, M1: 1, M2: 5/4, M3: 15/16, q1: 15/32, q2: 13/32, phi1: 3/16}
8703 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ + $ M_3\phi_1q_1^2$ 1.1481 1.2653 0.9074 [X:[1.625], M:[1.0, 1.25, 0.875], q:[0.4688, 0.4062], qb:[], phi:[0.1875]] 2*t^2.62 + t^3. + t^3.19 + 2*t^3.75 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + 3*t^5.25 + 2*t^5.62 + t^5.81 - t^6. - t^3.56/y - t^4.69/y - t^3.56*y - t^4.69*y detail {a: 9405/8192, c: 10365/8192, X1: 13/8, M1: 1, M2: 5/4, M3: 7/8, q1: 15/32, q2: 13/32, phi1: 3/16}


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
8374 Sp2adj1nf1 $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2\phi_1^4$ 1.1479 1.2552 0.9145 [X:[1.6413], M:[0.8696, 1.2826], q:[0.4484, 0.4755], qb:[], phi:[0.1793]] t^2.61 + t^2.77 + t^3.23 + t^3.31 + 2*t^3.85 + t^4.3 + t^4.39 + t^4.47 + t^4.92 + t^5.22 + t^5.38 + t^5.54 + t^5.84 - t^6. - t^3.54/y - t^4.61/y - t^3.54*y - t^4.61*y detail