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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
45347 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ q_1q_2^3$ 1.8082 1.9359 0.934 [X:[], M:[0.8696, 0.6957, 1.1304], q:[0.4348, 0.5217], qb:[], phi:[0.3478]] [X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] 0 {a: 352011/194672, c: 188437/97336, M1: 20/23, M2: 16/23, M3: 26/23, q1: 10/23, q2: 12/23, phi1: 8/23}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_2$, $ \phi_1^2$, $ M_1$, $ q_1q_2$, $ q_2^2$, $ M_3$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_1M_2$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_1q_1q_2$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$, $ M_1q_2^2$, $ q_1^2q_2^2$ $\phi_1^3q_1q_2$ 1 2*t^2.09 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + 4*t^4.17 + 3*t^4.7 + 3*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 + t^6. + 8*t^6.26 + t^6.52 + 6*t^6.78 + 6*t^7.04 + 9*t^7.3 + 8*t^7.57 + 8*t^7.83 + 5*t^8.09 + 15*t^8.35 + 3*t^8.61 + 10*t^8.87 - t^4.04/y - t^5.35/y - t^5.61/y - (3*t^6.13)/y - t^6.65/y - t^6.91/y - (3*t^7.43)/y - t^7.7/y + (2*t^7.96)/y - (6*t^8.22)/y + (2*t^8.48)/y - t^8.74/y - t^4.04*y - t^5.35*y - t^5.61*y - 3*t^6.13*y - t^6.65*y - t^6.91*y - 3*t^7.43*y - t^7.7*y + 2*t^7.96*y - 6*t^8.22*y + 2*t^8.48*y - t^8.74*y 2*t^2.09 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + 4*t^4.17 + 3*t^4.7 + 3*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 + t^6. + 8*t^6.26 + t^6.52 + 6*t^6.78 + 6*t^7.04 + 9*t^7.3 + 8*t^7.57 + 8*t^7.83 + 5*t^8.09 + 15*t^8.35 + 3*t^8.61 + 10*t^8.87 - t^4.04/y - t^5.35/y - t^5.61/y - (3*t^6.13)/y - t^6.65/y - t^6.91/y - (3*t^7.43)/y - t^7.7/y + (2*t^7.96)/y - (6*t^8.22)/y + (2*t^8.48)/y - t^8.74/y - t^4.04*y - t^5.35*y - t^5.61*y - 3*t^6.13*y - t^6.65*y - t^6.91*y - 3*t^7.43*y - t^7.7*y + 2*t^7.96*y - 6*t^8.22*y + 2*t^8.48*y - t^8.74*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
45483 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ q_1q_2^3$ + $ M_1M_4$ 1.7966 1.9162 0.9376 [X:[], M:[0.8696, 0.6957, 1.1304, 1.1304], q:[0.4348, 0.5217], qb:[], phi:[0.3478]] 2*t^2.09 + t^2.87 + t^3.13 + 2*t^3.39 + t^3.65 + 4*t^4.17 + t^4.7 + 3*t^4.96 + 3*t^5.22 + 4*t^5.48 + 2*t^5.74 - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y detail {a: 43719/24334, c: 93257/48668, M1: 20/23, M2: 16/23, M3: 26/23, M4: 26/23, q1: 10/23, q2: 12/23, phi1: 8/23}
45411 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ q_1q_2^3$ + $ M_3M_4$ 1.8198 1.9557 0.9305 [X:[], M:[0.8696, 0.6957, 1.1304, 0.8696], q:[0.4348, 0.5217], qb:[], phi:[0.3478]] 2*t^2.09 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.65 + 4*t^4.17 + 5*t^4.7 + 3*t^4.96 + 6*t^5.22 + 2*t^5.48 + 4*t^5.74 - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y detail {a: 177135/97336, c: 23795/12167, M1: 20/23, M2: 16/23, M3: 26/23, M4: 20/23, q1: 10/23, q2: 12/23, phi1: 8/23}
45463 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ q_1q_2^3$ + $ M_4q_1q_2$ 1.8042 1.9292 0.9352 [X:[], M:[0.8696, 0.6957, 1.1304, 1.0435], q:[0.4348, 0.5217], qb:[], phi:[0.3478]] 2*t^2.09 + t^2.61 + 2*t^3.13 + t^3.39 + t^3.65 + 4*t^4.17 + 3*t^4.7 + t^4.96 + 6*t^5.22 + 2*t^5.48 + 3*t^5.74 - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y detail {a: 175611/97336, c: 93889/48668, M1: 20/23, M2: 16/23, M3: 26/23, M4: 24/23, q1: 10/23, q2: 12/23, phi1: 8/23}


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
45204 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ 1.8184 1.9504 0.9323 [X:[], M:[0.8389, 0.7417, 1.1611], q:[0.4194, 0.468], qb:[], phi:[0.3708]] 2*t^2.23 + t^2.52 + t^2.66 + t^2.81 + t^3.48 + t^3.63 + 4*t^4.45 + 3*t^4.74 + 3*t^4.89 + 4*t^5.03 + t^5.18 + 2*t^5.32 + t^5.47 + t^5.62 + 2*t^5.71 + t^5.85 - t^4.11/y - t^5.37/y - t^5.52/y - t^4.11*y - t^5.37*y - t^5.52*y detail