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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
45485 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ + $ M_3q_1^2$ + $ M_4\phi_1^2q_2$ + $ M_5\phi_1q_1q_2$ 1.8347 1.9799 0.9267 [X:[], M:[1.045, 0.8158, 0.985, 0.8458, 0.6767], q:[0.5075, 0.4775], qb:[], phi:[0.3383]] [X:[], M:[[-18], [7], [6], [-5], [-4]], q:[[-3], [9]], qb:[], phi:[[-2]]] 1
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_3$, $ q_1q_2$, $ M_1$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ M_2M_4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5q_1q_2$, $ \phi_1^2q_1q_2$, $ M_4^2$, $ \phi_1^2q_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_2M_3$, $ M_2q_1q_2$, $ M_3M_4$, $ M_4q_1q_2$, $ M_1M_2$, $ M_1M_4$, $ M_3^2$, $ M_3q_1q_2$ $\phi_1^3q_1q_2$ -1 2*t^2.03 + t^2.45 + t^2.54 + 2*t^2.96 + t^3.13 + 4*t^4.06 + 2*t^4.48 + 2*t^4.57 + 2*t^4.9 + 6*t^4.99 + 2*t^5.07 + 2*t^5.16 + 2*t^5.4 + 2*t^5.49 + t^5.58 + t^5.67 + 2*t^5.91 - t^6. + 7*t^6.09 + t^6.27 + 3*t^6.51 + 3*t^6.6 + 3*t^6.93 + 11*t^7.01 + 3*t^7.1 + 4*t^7.19 + 2*t^7.34 + 7*t^7.43 + 7*t^7.52 + 4*t^7.61 + 2*t^7.7 + 4*t^7.85 + 6*t^7.94 + 3*t^8.03 + 12*t^8.12 + 2*t^8.21 + 2*t^8.3 + 2*t^8.36 + 3*t^8.54 + 5*t^8.63 + t^8.72 + t^8.81 + t^8.87 + t^8.96 - t^4.01/y - t^5.45/y - t^5.54/y - (3*t^6.04)/y - t^6.46/y - t^6.55/y - (2*t^6.97)/y + t^7.06/y - t^7.15/y - t^7.9/y + (4*t^7.99)/y - (7*t^8.07)/y + (2*t^8.16)/y - (2*t^8.49)/y - (2*t^8.58)/y - t^4.01*y - t^5.45*y - t^5.54*y - 3*t^6.04*y - t^6.46*y - t^6.55*y - 2*t^6.97*y + t^7.06*y - t^7.15*y - t^7.9*y + 4*t^7.99*y - 7*t^8.07*y + 2*t^8.16*y - 2*t^8.49*y - 2*t^8.58*y (2*t^2.03)/g1^4 + g1^7*t^2.45 + t^2.54/g1^5 + 2*g1^6*t^2.96 + t^3.13/g1^18 + (4*t^4.06)/g1^8 + 2*g1^3*t^4.48 + (2*t^4.57)/g1^9 + 2*g1^14*t^4.9 + 6*g1^2*t^4.99 + (2*t^5.07)/g1^10 + (2*t^5.16)/g1^22 + 2*g1^13*t^5.4 + 2*g1*t^5.49 + t^5.58/g1^11 + t^5.67/g1^23 + 2*g1^12*t^5.91 - t^6. + (7*t^6.09)/g1^12 + t^6.27/g1^36 + (3*t^6.51)/g1 + (3*t^6.6)/g1^13 + 3*g1^10*t^6.93 + (11*t^7.01)/g1^2 + (3*t^7.1)/g1^14 + (4*t^7.19)/g1^26 + 2*g1^21*t^7.34 + 7*g1^9*t^7.43 + (7*t^7.52)/g1^3 + (4*t^7.61)/g1^15 + (2*t^7.7)/g1^27 + 4*g1^20*t^7.85 + 6*g1^8*t^7.94 + (3*t^8.03)/g1^4 + (12*t^8.12)/g1^16 + (2*t^8.21)/g1^28 + (2*t^8.3)/g1^40 + 2*g1^19*t^8.36 + (3*t^8.54)/g1^5 + (5*t^8.63)/g1^17 + t^8.72/g1^29 + t^8.81/g1^41 + g1^18*t^8.87 + g1^6*t^8.96 - t^4.01/(g1^2*y) - (g1^7*t^5.45)/y - t^5.54/(g1^5*y) - (3*t^6.04)/(g1^6*y) - (g1^5*t^6.46)/y - t^6.55/(g1^7*y) - (2*g1^4*t^6.97)/y + t^7.06/(g1^8*y) - t^7.15/(g1^20*y) - (g1^14*t^7.9)/y + (4*g1^2*t^7.99)/y - (7*t^8.07)/(g1^10*y) + (2*t^8.16)/(g1^22*y) - (2*g1*t^8.49)/y - (2*t^8.58)/(g1^11*y) - (t^4.01*y)/g1^2 - g1^7*t^5.45*y - (t^5.54*y)/g1^5 - (3*t^6.04*y)/g1^6 - g1^5*t^6.46*y - (t^6.55*y)/g1^7 - 2*g1^4*t^6.97*y + (t^7.06*y)/g1^8 - (t^7.15*y)/g1^20 - g1^14*t^7.9*y + 4*g1^2*t^7.99*y - (7*t^8.07*y)/g1^10 + (2*t^8.16*y)/g1^22 - 2*g1*t^8.49*y - (2*t^8.58*y)/g1^11


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
45575 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ + $ M_3q_1^2$ + $ M_4\phi_1^2q_2$ + $ M_5\phi_1q_1q_2$ + $ M_1M_4$ 1.8298 1.9738 0.927 [X:[], M:[1.1304, 0.7826, 0.9565, 0.8696, 0.6957], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] 2*t^2.09 + t^2.35 + t^2.61 + 2*t^2.87 + t^3.39 + 4*t^4.17 + 2*t^4.43 + 4*t^4.7 + 6*t^4.96 + 4*t^5.22 + 4*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: 356205/194672, c: 192121/97336, M1: 26/23, M2: 18/23, M3: 22/23, M4: 20/23, M5: 16/23, q1: 12/23, q2: 10/23, 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
45301 SO5adj1nf2 $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_1$ + $ M_3q_1^2$ + $ M_4\phi_1^2q_2$ 1.8139 1.9389 0.9355 [X:[], M:[1.0459, 0.8155, 0.9847, 0.8461], q:[0.5076, 0.4771], qb:[], phi:[0.3384]] t^2.03 + t^2.45 + t^2.54 + 2*t^2.95 + t^3.14 + t^3.97 + 2*t^4.06 + t^4.48 + t^4.57 + 2*t^4.89 + 4*t^4.98 + 2*t^5.08 + t^5.17 + 2*t^5.4 + 2*t^5.49 + t^5.58 + t^5.68 + 2*t^5.91 - t^4.02/y - t^5.45/y - t^5.54/y - t^4.02*y - t^5.45*y - t^5.54*y detail