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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55912 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7066 | 0.8907 | 0.7932 | [M:[1.0132, 0.9466, 1.1201, 0.6801, 0.7467, 0.7467], q:[0.5802, 0.4067], qb:[0.4733, 0.78], phi:[0.44]] | [M:[[-32], [-22], [12], [18], [8], [8]], q:[[33], [-1]], qb:[[-11], [3]], phi:[[-6]]] | 1 | {a: 302420677/428009496, c: 95310743/107002374, M1: 12836/12669, M2: 11992/12669, M3: 4730/4223, M4: 2872/4223, M5: 9460/12669, M6: 9460/12669, q1: 2450/4223, q2: 5152/12669, qb1: 5996/12669, qb2: 3294/4223, phi1: 1858/4223} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$ | ${}$ | -2 | t^2.04 + 2*t^2.24 + t^2.64 + t^2.84 + t^3.04 + t^3.36 + t^3.56 + 2*t^4.081 + t^4.16 + 3*t^4.28 + 4*t^4.48 + t^4.68 + t^4.801 + 3*t^4.88 + 3*t^5.08 + 3*t^5.28 + t^5.4 + 3*t^5.6 + t^5.679 + t^5.8 + t^5.879 - 2*t^6. + t^6.079 + 2*t^6.121 + t^6.2 + 4*t^6.321 + 3*t^6.4 + 5*t^6.52 + 7*t^6.72 + t^6.841 + 4*t^6.92 + 2*t^7.041 + 6*t^7.12 + t^7.199 + 5*t^7.32 + 2*t^7.441 + 4*t^7.52 + 4*t^7.641 + t^7.72 + 4*t^7.84 + 3*t^7.919 - 2*t^8.04 + 3*t^8.119 + 3*t^8.161 - 5*t^8.24 + 3*t^8.319 + 5*t^8.361 + t^8.44 + t^8.519 + 6*t^8.561 + 3*t^8.64 + t^8.719 + 7*t^8.761 - 4*t^8.84 + 2*t^8.881 + t^8.919 + 12*t^8.96 - t^4.32/y - t^6.36/y - (2*t^6.56)/y - t^7.16/y + (3*t^7.28)/y - t^7.359/y + (2*t^7.48)/y + t^7.68/y + (3*t^7.88)/y + (5*t^8.08)/y + (3*t^8.28)/y + t^8.48/y + t^8.6/y + t^8.679/y - t^8.8/y + t^8.879/y - t^4.32*y - t^6.36*y - 2*t^6.56*y - t^7.16*y + 3*t^7.28*y - t^7.359*y + 2*t^7.48*y + t^7.68*y + 3*t^7.88*y + 5*t^8.08*y + 3*t^8.28*y + t^8.48*y + t^8.6*y + t^8.679*y - t^8.8*y + t^8.879*y | g1^18*t^2.04 + 2*g1^8*t^2.24 + t^2.64/g1^12 + t^2.84/g1^22 + t^3.04/g1^32 + g1^12*t^3.36 + g1^2*t^3.56 + 2*g1^36*t^4.081 + t^4.16/g1^28 + 3*g1^26*t^4.28 + 4*g1^16*t^4.48 + g1^6*t^4.68 + g1^60*t^4.801 + (3*t^4.88)/g1^4 + (3*t^5.08)/g1^14 + (3*t^5.28)/g1^24 + g1^30*t^5.4 + 3*g1^20*t^5.6 + t^5.679/g1^44 + g1^10*t^5.8 + t^5.879/g1^54 - 2*t^6. + t^6.079/g1^64 + 2*g1^54*t^6.121 + t^6.2/g1^10 + 4*g1^44*t^6.321 + (3*t^6.4)/g1^20 + 5*g1^34*t^6.52 + 7*g1^24*t^6.72 + g1^78*t^6.841 + 4*g1^14*t^6.92 + 2*g1^68*t^7.041 + 6*g1^4*t^7.12 + t^7.199/g1^60 + (5*t^7.32)/g1^6 + 2*g1^48*t^7.441 + (4*t^7.52)/g1^16 + 4*g1^38*t^7.641 + t^7.72/g1^26 + 4*g1^28*t^7.84 + (3*t^7.919)/g1^36 - 2*g1^18*t^8.04 + (3*t^8.119)/g1^46 + 3*g1^72*t^8.161 - 5*g1^8*t^8.24 + (3*t^8.319)/g1^56 + 5*g1^62*t^8.361 + t^8.44/g1^2 + t^8.519/g1^66 + 6*g1^52*t^8.561 + (3*t^8.64)/g1^12 + t^8.719/g1^76 + 7*g1^42*t^8.761 - (4*t^8.84)/g1^22 + 2*g1^96*t^8.881 + t^8.919/g1^86 + 12*g1^32*t^8.96 - t^4.32/(g1^6*y) - (g1^12*t^6.36)/y - (2*g1^2*t^6.56)/y - t^7.16/(g1^28*y) + (3*g1^26*t^7.28)/y - t^7.359/(g1^38*y) + (2*g1^16*t^7.48)/y + (g1^6*t^7.68)/y + (3*t^7.88)/(g1^4*y) + (5*t^8.08)/(g1^14*y) + (3*t^8.28)/(g1^24*y) + t^8.48/(g1^34*y) + (g1^20*t^8.6)/y + t^8.679/(g1^44*y) - (g1^10*t^8.8)/y + t^8.879/(g1^54*y) - (t^4.32*y)/g1^6 - g1^12*t^6.36*y - 2*g1^2*t^6.56*y - (t^7.16*y)/g1^28 + 3*g1^26*t^7.28*y - (t^7.359*y)/g1^38 + 2*g1^16*t^7.48*y + g1^6*t^7.68*y + (3*t^7.88*y)/g1^4 + (5*t^8.08*y)/g1^14 + (3*t^8.28*y)/g1^24 + (t^8.48*y)/g1^34 + g1^20*t^8.6*y + (t^8.679*y)/g1^44 - g1^10*t^8.8*y + (t^8.879*y)/g1^54 |
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 |
---|---|---|---|---|---|---|---|---|---|
48164 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6874 | 0.8556 | 0.8034 | [M:[1.0083, 0.9432, 1.1219, 0.6829, 0.7479], q:[0.5852, 0.4065], qb:[0.4716, 0.7805], phi:[0.439]] | t^2.049 + t^2.244 + t^2.634 + t^2.83 + t^3.025 + t^3.366 + t^3.561 + t^3.756 + 2*t^4.097 + t^4.147 + 2*t^4.292 + 2*t^4.488 + t^4.683 + t^4.829 + 2*t^4.878 + 2*t^5.073 + 2*t^5.269 + t^5.414 + 2*t^5.61 + t^5.659 + t^5.805 + t^5.854 - t^6. - t^4.317/y - t^4.317*y | detail | {a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 11768/12477, M3: 4666/4159, M4: 2840/4159, M5: 9332/12477, q1: 2434/4159, q2: 5072/12477, qb1: 5884/12477, qb2: 3246/4159, phi1: 1826/4159} |