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.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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60162 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4457 | 1.624 | 0.8902 | [X:[1.3722], M:[0.928, 0.928, 1.0583], q:[0.4917, 0.4917], qb:[0.5803, 0.5529], phi:[0.3139]] | [X:[[0, 0, 2]], M:[[1, 1, -6], [-1, 2, -1], [0, 0, 3]], q:[[-1, 1, 5], [1, 0, 0]], qb:[[0, -2, 1], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$ | ${}$ | -5 | 2*t^2.78 + 2*t^3.13 + t^3.17 + 2*t^4.08 + t^4.12 + 2*t^4.16 + 2*t^5.02 + 2*t^5.1 + 2*t^5.37 + 3*t^5.57 + 3*t^5.92 + 2*t^5.96 - 5*t^6. + 3*t^6.27 + 4*t^6.31 + t^6.35 + 3*t^6.86 + 2*t^6.9 + 3*t^7.21 + 8*t^7.25 + 4*t^7.29 + 2*t^7.33 + 4*t^7.8 + t^7.88 - 2*t^7.92 + t^8.05 + 7*t^8.15 + 2*t^8.19 + 4*t^8.23 + 2*t^8.27 + 3*t^8.32 + 4*t^8.35 + 4*t^8.5 + 2*t^8.54 + 4*t^8.7 + 3*t^8.74 - 10*t^8.78 + t^8.83 - 2*t^8.87 - 2*t^8.95 + t^8.83/y^2 - t^3.94/y - t^4.88/y - (2*t^6.73)/y - (2*t^7.08)/y - t^7.12/y - (2*t^7.67)/y - (2*t^8.02)/y - t^8.06/y + t^8.57/y + (4*t^8.92)/y - t^3.94*y - t^4.88*y - 2*t^6.73*y - 2*t^7.08*y - t^7.12*y - 2*t^7.67*y - 2*t^8.02*y - t^8.06*y + t^8.57*y + 4*t^8.92*y + t^8.83*y^2 | (g1*g2*t^2.78)/g3^6 + (g2^2*t^2.78)/(g1*g3) + g1*g2*t^3.13 + (g2^2*g3^5*t^3.13)/g1 + g3^3*t^3.17 + (g1*g2*t^4.08)/g3 + (g2^2*g3^4*t^4.08)/g1 + g3^2*t^4.12 + (g1*t^4.16)/g2^2 + (g3^5*t^4.16)/(g1*g2) + (g1*g2*t^5.02)/g3^2 + (g2^2*g3^3*t^5.02)/g1 + (g1*t^5.1)/(g2^2*g3) + (g3^4*t^5.1)/(g1*g2) + g1*g2*g3^4*t^5.37 + (g2^2*g3^9*t^5.37)/g1 + (g1^2*g2^2*t^5.57)/g3^12 + (g2^3*t^5.57)/g3^7 + (g2^4*t^5.57)/(g1^2*g3^2) + (g1^2*g2^2*t^5.92)/g3^6 + (g2^3*t^5.92)/g3 + (g2^4*g3^4*t^5.92)/g1^2 + (g1*g2*t^5.96)/g3^3 + (g2^2*g3^2*t^5.96)/g1 - 3*t^6. - (g1^2*t^6.)/(g2*g3^5) - (g2*g3^5*t^6.)/g1^2 + g1^2*g2^2*t^6.27 + g2^3*g3^5*t^6.27 + (g2^4*g3^10*t^6.27)/g1^2 + 2*g1*g2*g3^3*t^6.31 + (2*g2^2*g3^8*t^6.31)/g1 + g3^6*t^6.35 + (g1^2*g2^2*t^6.86)/g3^7 + (g2^3*t^6.86)/g3^2 + (g2^4*g3^3*t^6.86)/g1^2 + (g1*g2*t^6.9)/g3^4 + (g2^2*g3*t^6.9)/g1 + (g1^2*g2^2*t^7.21)/g3 + g2^3*g3^4*t^7.21 + (g2^4*g3^9*t^7.21)/g1^2 + (g1^3*t^7.25)/g3^3 + 3*g1*g2*g3^2*t^7.25 + (3*g2^2*g3^7*t^7.25)/g1 + (g2^3*g3^12*t^7.25)/g1^3 + (g1^2*t^7.29)/g2 + 2*g3^5*t^7.29 + (g2*g3^10*t^7.29)/g1^2 + (g1*g3^3*t^7.33)/g2^2 + (g3^8*t^7.33)/(g1*g2) + (g1^2*g2^2*t^7.8)/g3^8 + (2*g2^3*t^7.8)/g3^3 + (g2^4*g3^2*t^7.8)/g1^2 + t^7.88/g3^2 - (g1*t^7.92)/(g2^2*g3^4) - (g3*t^7.92)/(g1*g2) + t^8.05/g2^6 + (2*g1^2*g2^2*t^8.15)/g3^2 + 3*g2^3*g3^3*t^8.15 + (2*g2^4*g3^8*t^8.15)/g1^2 + g1*g2*g3*t^8.19 + (g2^2*g3^6*t^8.19)/g1 + (g1^2*t^8.23)/(g2*g3) + 2*g3^4*t^8.23 + (g2*g3^9*t^8.23)/g1^2 + (g1*g3^2*t^8.27)/g2^2 + (g3^7*t^8.27)/(g1*g2) + (g1^2*t^8.32)/g2^4 + (g3^5*t^8.32)/g2^3 + (g3^10*t^8.32)/(g1^2*g2^2) + (g1^3*g2^3*t^8.35)/g3^18 + (g1*g2^4*t^8.35)/g3^13 + (g2^5*t^8.35)/(g1*g3^8) + (g2^6*t^8.35)/(g1^3*g3^3) + g1^2*g2^2*g3^4*t^8.5 + 2*g2^3*g3^9*t^8.5 + (g2^4*g3^14*t^8.5)/g1^2 + g1*g2*g3^7*t^8.54 + (g2^2*g3^12*t^8.54)/g1 + (g1^3*g2^3*t^8.7)/g3^12 + (g1*g2^4*t^8.7)/g3^7 + (g2^5*t^8.7)/(g1*g3^2) + (g2^6*g3^3*t^8.7)/g1^3 + (g1^2*g2^2*t^8.74)/g3^9 + (g2^3*t^8.74)/g3^4 + (g2^4*g3*t^8.74)/g1^2 - (g1^3*t^8.78)/g3^11 - (4*g1*g2*t^8.78)/g3^6 - (4*g2^2*t^8.78)/(g1*g3) - (g2^3*g3^4*t^8.78)/g1^3 + t^8.83/g3^3 - t^8.87/(g1*g2) - (g1*t^8.87)/(g2^2*g3^5) - (g1*t^8.95)/(g2^5*g3^4) - (g3*t^8.95)/(g1*g2^4) + t^8.83/(g3^3*y^2) - t^3.94/(g3*y) - t^4.88/(g3^2*y) - (g1*g2*t^6.73)/(g3^7*y) - (g2^2*t^6.73)/(g1*g3^2*y) - (g1*g2*t^7.08)/(g3*y) - (g2^2*g3^4*t^7.08)/(g1*y) - (g3^2*t^7.12)/y - (g1*g2*t^7.67)/(g3^8*y) - (g2^2*t^7.67)/(g1*g3^3*y) - (g1*g2*t^8.02)/(g3^2*y) - (g2^2*g3^3*t^8.02)/(g1*y) - (g3*t^8.06)/y + (g2^3*t^8.57)/(g3^7*y) + (g1^2*g2^2*t^8.92)/(g3^6*y) + (2*g2^3*t^8.92)/(g3*y) + (g2^4*g3^4*t^8.92)/(g1^2*y) - (t^3.94*y)/g3 - (t^4.88*y)/g3^2 - (g1*g2*t^6.73*y)/g3^7 - (g2^2*t^6.73*y)/(g1*g3^2) - (g1*g2*t^7.08*y)/g3 - (g2^2*g3^4*t^7.08*y)/g1 - g3^2*t^7.12*y - (g1*g2*t^7.67*y)/g3^8 - (g2^2*t^7.67*y)/(g1*g3^3) - (g1*g2*t^8.02*y)/g3^2 - (g2^2*g3^3*t^8.02*y)/g1 - g3*t^8.06*y + (g2^3*t^8.57*y)/g3^7 + (g1^2*g2^2*t^8.92*y)/g3^6 + (2*g2^3*t^8.92*y)/g3 + (g2^4*g3^4*t^8.92*y)/g1^2 + (t^8.83*y^2)/g3^3 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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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 |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
57466 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4519 | 1.632 | 0.8897 | [X:[1.3846], M:[0.9058, 0.9058], q:[0.5071, 0.5071], qb:[0.5871, 0.5526], phi:[0.3077]] | 2*t^2.72 + t^2.77 + 2*t^3.18 + 2*t^4.1 + t^4.15 + 2*t^4.21 + 2*t^5.03 + 2*t^5.13 + 3*t^5.43 + 4*t^5.49 + t^5.54 + 3*t^5.9 + 2*t^5.95 - 5*t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y | detail |