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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
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]] [X:[], M:[[4], [-6], [-4]], q:[[2], [7]], qb:[], phi:[[-3]]] 1
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_1q_1q_2$, $ M_1q_2^2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$, $ M_2M_3$, $ M_3\phi_1^2$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$ $\phi_1^3q_1q_2$ 0 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^6.15 + 2*t^6.29 + t^6.44 + 6*t^6.68 - t^6.82 + 5*t^6.97 + 6*t^7.11 + 9*t^7.26 + 4*t^7.4 + 7*t^7.55 + 5*t^7.7 + 5*t^7.84 + 4*t^7.93 + 2*t^7.99 + t^8.08 + 2*t^8.13 + t^8.28 + t^8.37 + t^8.42 + 3*t^8.52 + t^8.66 + 9*t^8.9 + 2*t^8.95 - t^4.11/y - t^5.37/y - t^5.52/y - (3*t^6.34)/y - t^6.63/y - t^6.77/y - t^6.92/y + t^7.45/y - (3*t^7.6)/y - t^7.74/y + (2*t^7.89)/y - t^8.18/y + t^8.47/y - (6*t^8.56)/y + (3*t^8.71)/y - t^8.85/y - t^4.11*y - t^5.37*y - t^5.52*y - 3*t^6.34*y - t^6.63*y - t^6.77*y - t^6.92*y + t^7.45*y - 3*t^7.6*y - t^7.74*y + 2*t^7.89*y - t^8.18*y + t^8.47*y - 6*t^8.56*y + 3*t^8.71*y - t^8.85*y (2*t^2.23)/g1^6 + g1^4*t^2.52 + g1^9*t^2.66 + g1^14*t^2.81 + t^3.48/g1^4 + g1*t^3.63 + (4*t^4.45)/g1^12 + (3*t^4.74)/g1^2 + 3*g1^3*t^4.89 + 4*g1^8*t^5.03 + g1^13*t^5.18 + 2*g1^18*t^5.32 + g1^23*t^5.47 + g1^28*t^5.62 + (2*t^5.71)/g1^10 + t^5.85/g1^5 + g1^5*t^6.15 + 2*g1^10*t^6.29 + g1^15*t^6.44 + (6*t^6.68)/g1^18 - t^6.82/g1^13 + (5*t^6.97)/g1^8 + (6*t^7.11)/g1^3 + 9*g1^2*t^7.26 + 4*g1^7*t^7.4 + 7*g1^12*t^7.55 + 5*g1^17*t^7.7 + 5*g1^22*t^7.84 + (4*t^7.93)/g1^16 + 2*g1^27*t^7.99 + t^8.08/g1^11 + 2*g1^32*t^8.13 + g1^37*t^8.28 + t^8.37/g1 + g1^42*t^8.42 + 3*g1^4*t^8.52 + g1^9*t^8.66 + (9*t^8.9)/g1^24 + 2*g1^19*t^8.95 - t^4.11/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.52)/y - (3*t^6.34)/(g1^9*y) - (g1*t^6.63)/y - (g1^6*t^6.77)/y - (g1^11*t^6.92)/y + t^7.45/(g1^12*y) - (3*t^7.6)/(g1^7*y) - t^7.74/(g1^2*y) + (2*g1^3*t^7.89)/y - (g1^13*t^8.18)/y + (g1^23*t^8.47)/y - (6*t^8.56)/(g1^15*y) + (3*t^8.71)/(g1^10*y) - t^8.85/(g1^5*y) - (t^4.11*y)/g1^3 - (t^5.37*y)/g1 - g1^4*t^5.52*y - (3*t^6.34*y)/g1^9 - g1*t^6.63*y - g1^6*t^6.77*y - g1^11*t^6.92*y + (t^7.45*y)/g1^12 - (3*t^7.6*y)/g1^7 - (t^7.74*y)/g1^2 + 2*g1^3*t^7.89*y - g1^13*t^8.18*y + g1^23*t^8.47*y - (6*t^8.56*y)/g1^15 + (3*t^8.71*y)/g1^10 - (t^8.85*y)/g1^5


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
45339 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_3M_4$ 1.8324 1.9752 0.9277 [X:[], M:[0.8356, 0.7465, 1.1644, 0.8356], q:[0.4178, 0.4624], qb:[], phi:[0.3733]] 2*t^2.24 + 2*t^2.51 + t^2.64 + t^2.77 + t^3.63 + 4*t^4.48 + 5*t^4.75 + 3*t^4.88 + 6*t^5.01 + 2*t^5.15 + 3*t^5.28 + t^5.41 + t^5.55 + t^5.87 - t^6. - t^4.12/y - t^5.37/y - t^5.51/y - t^4.12*y - t^5.37*y - t^5.51*y detail
45304 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ + $ M_1M_3$ + $ M_4\phi_1^2q_2$ 1.8355 1.9805 0.9268 [X:[], M:[0.8395, 0.7407, 1.1605, 0.7901], q:[0.4198, 0.4692], qb:[], phi:[0.3704]] 2*t^2.22 + t^2.37 + t^2.52 + t^2.67 + t^2.81 + t^3.48 + 4*t^4.44 + 2*t^4.59 + 4*t^4.74 + 4*t^4.89 + 5*t^5.04 + 2*t^5.19 + 2*t^5.33 + t^5.48 + t^5.63 + 2*t^5.7 - 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
45347 $M_1\phi_1^2q_1$ + $ 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]] 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. - 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: 352011/194672, c: 188437/97336, M1: 20/23, M2: 16/23, M3: 26/23, 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
45000 SO5adj1nf2 $M_1\phi_1^2q_1$ + $ M_2\phi_1q_1q_2$ + $ M_3q_1^2$ 1.8324 1.9737 0.9284 [X:[], M:[0.7942, 0.7151, 1.0185], q:[0.4908, 0.4366], qb:[], phi:[0.3575]] 2*t^2.15 + t^2.38 + t^2.62 + t^2.78 + t^3.06 + t^3.46 + 4*t^4.29 + 2*t^4.53 + 4*t^4.77 + 3*t^4.93 + t^5. + t^5.09 + t^5.16 + 2*t^5.2 + t^5.24 + t^5.4 + t^5.44 + t^5.56 + 2*t^5.6 + t^5.68 + t^5.84 - t^6. - t^4.07/y - t^5.38/y - t^5.54/y - t^4.07*y - t^5.38*y - t^5.54*y detail