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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
48170 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_2$ 0.6682 0.8218 0.813 [X:[], M:[0.9959, 1.0917, 1.0917, 0.9083, 0.725], q:[0.502, 0.502], qb:[0.4063, 0.7729], phi:[0.4542]] [X:[], M:[[-22], [4], [4], [-4], [-12]], q:[[11], [11]], qb:[[-15], [1]], phi:[[-2]]]
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_4^2$, $ M_2M_5$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_5\phi_1\tilde{q}_1^2$ $M_2M_4$, $ M_5q_1\tilde{q}_2$ t^2.18 + 2*t^2.73 + t^2.99 + t^3.27 + t^3.54 + t^3.8 + t^3.82 + 2*t^4.09 + t^4.35 + 3*t^4.37 + 2*t^4.9 + t^5.16 + 4*t^5.45 + t^5.71 + 2*t^5.98 - 2*t^6. + 4*t^6.26 - 2*t^6.29 + 4*t^6.53 + 3*t^6.55 + t^6.79 + 3*t^6.81 + 3*t^7.08 + 4*t^7.1 + 2*t^7.34 + t^7.6 + 5*t^7.63 - t^7.65 + 3*t^7.89 + t^7.91 + 2*t^8.15 + 4*t^8.18 + t^8.2 + 3*t^8.44 + 4*t^8.7 - 4*t^8.73 + 5*t^8.75 + 2*t^8.96 + 2*t^8.99 - t^4.36/y - t^6.54/y - t^7.35/y + t^7.37/y + (2*t^7.9)/y + t^8.16/y + t^8.19/y + (2*t^8.45)/y + (2*t^8.71)/y + t^8.98/y - t^4.36*y - t^6.54*y - t^7.35*y + t^7.37*y + 2*t^7.9*y + t^8.16*y + t^8.19*y + 2*t^8.45*y + 2*t^8.71*y + t^8.98*y t^2.18/g1^12 + (2*t^2.73)/g1^4 + t^2.99/g1^22 + g1^4*t^3.27 + t^3.54/g1^14 + t^3.8/g1^32 + g1^12*t^3.82 + (2*t^4.09)/g1^6 + t^4.35/g1^24 + 3*g1^20*t^4.37 + (2*t^4.9)/g1^16 + t^5.16/g1^34 + (4*t^5.45)/g1^8 + t^5.71/g1^26 + (2*t^5.98)/g1^44 - 2*t^6. + (4*t^6.26)/g1^18 - 2*g1^26*t^6.29 + (4*t^6.53)/g1^36 + 3*g1^8*t^6.55 + t^6.79/g1^54 + (3*t^6.81)/g1^10 + (3*t^7.08)/g1^28 + 4*g1^16*t^7.1 + (2*t^7.34)/g1^46 + t^7.6/g1^64 + (5*t^7.63)/g1^20 - g1^24*t^7.65 + (3*t^7.89)/g1^38 + g1^6*t^7.91 + (2*t^8.15)/g1^56 + (4*t^8.18)/g1^12 + g1^32*t^8.2 + (3*t^8.44)/g1^30 + (4*t^8.7)/g1^48 - (4*t^8.73)/g1^4 + 5*g1^40*t^8.75 + (2*t^8.96)/g1^66 + (2*t^8.99)/g1^22 - t^4.36/(g1^2*y) - t^6.54/(g1^14*y) - t^7.35/(g1^24*y) + (g1^20*t^7.37)/y + (2*t^7.9)/(g1^16*y) + t^8.16/(g1^34*y) + (g1^10*t^8.19)/y + (2*t^8.45)/(g1^8*y) + (2*t^8.71)/(g1^26*y) + t^8.98/(g1^44*y) - (t^4.36*y)/g1^2 - (t^6.54*y)/g1^14 - (t^7.35*y)/g1^24 + g1^20*t^7.37*y + (2*t^7.9*y)/g1^16 + (t^8.16*y)/g1^34 + g1^10*t^8.19*y + (2*t^8.45*y)/g1^8 + (2*t^8.71*y)/g1^26 + (t^8.98*y)/g1^44


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
55927 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_1M_4$ 0.662 0.811 0.8162 [X:[], M:[1.0769, 1.0769, 1.0769, 0.9231, 0.7692], q:[0.4615, 0.4615], qb:[0.4615, 0.7692], phi:[0.4615]] t^2.31 + 2*t^2.77 + 2*t^3.23 + 2*t^3.69 + 6*t^4.15 + t^4.62 + 2*t^5.08 + 5*t^5.54 - 3*t^6. - t^4.38/y - t^4.38*y detail {a: 23271/35152, c: 14255/17576, M1: 14/13, M2: 14/13, M3: 14/13, M4: 12/13, M5: 10/13, q1: 6/13, q2: 6/13, qb1: 6/13, qb2: 10/13, phi1: 6/13}
55926 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_1M_5$ 0.6388 0.7821 0.8167 [X:[], M:[1.1765, 1.0588, 1.0588, 0.9412, 0.8235], q:[0.4118, 0.4118], qb:[0.5294, 0.7647], phi:[0.4706]] t^2.47 + 2*t^2.82 + t^3.18 + 2*t^3.53 + 4*t^3.88 + 2*t^4.24 + t^4.59 + t^4.94 + 2*t^5.29 + 2*t^5.65 - t^6. - t^4.41/y - t^4.41*y detail {a: 50211/78608, c: 30741/39304, M1: 20/17, M2: 18/17, M3: 18/17, M4: 16/17, M5: 14/17, q1: 7/17, q2: 7/17, qb1: 9/17, qb2: 13/17, phi1: 8/17}
55929 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_2M_6$ 0.6766 0.8365 0.8088 [X:[], M:[0.9878, 1.0931, 1.0931, 0.9069, 0.7206, 0.9069], q:[0.5061, 0.5061], qb:[0.4008, 0.7733], phi:[0.4534]] t^2.16 + 3*t^2.72 + t^2.96 + t^3.52 + t^3.77 + t^3.84 + 2*t^4.08 + t^4.32 + 3*t^4.4 + 3*t^4.88 + t^5.13 + 6*t^5.44 + 2*t^5.68 + 2*t^5.93 - 4*t^6. - t^4.36/y - t^4.36*y detail
55928 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_4M_6$ 0.6599 0.8074 0.8173 [X:[], M:[1.0041, 1.0902, 1.0902, 0.9098, 0.7295, 1.0902], q:[0.4979, 0.4979], qb:[0.4119, 0.7725], phi:[0.4549]] t^2.19 + t^2.73 + t^3.01 + 2*t^3.27 + t^3.55 + t^3.81 + t^3.84 + 2*t^4.09 + 3*t^4.35 + t^4.38 + t^4.92 + t^5.2 + 3*t^5.46 - 2*t^6. - t^4.36/y - t^4.36*y detail
53324 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ 0.6883 0.8591 0.8011 [X:[], M:[1.0127, 1.0886, 1.0886, 0.9114, 0.7342, 0.7087], q:[0.4936, 0.4936], qb:[0.4178, 0.7721], phi:[0.4557]] t^2.13 + t^2.2 + 2*t^2.73 + t^3.04 + t^3.27 + t^3.57 + t^3.8 + 2*t^4.1 + t^4.25 + 4*t^4.33 + t^4.41 + 2*t^4.86 + 2*t^4.94 + t^5.16 + t^5.24 + t^5.39 + 4*t^5.47 + t^5.7 + t^5.77 + t^5.92 - 2*t^6. - t^4.37/y - t^4.37*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
46704 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_2\phi_1^2$ 0.6483 0.7846 0.8263 [X:[], M:[1.005, 1.09, 1.09, 0.91], q:[0.4975, 0.4975], qb:[0.4125, 0.7725], phi:[0.455]] 2*t^2.73 + t^3.02 + t^3.27 + t^3.56 + 2*t^3.81 + t^3.84 + 2*t^4.1 + 3*t^4.35 + 3*t^5.46 - 3*t^6. - t^4.37/y - t^4.37*y detail