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 |
---|---|---|---|---|---|---|---|---|---|
57583 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6858 | 0.8715 | 0.7869 | [M:[1.2, 0.9859, 0.8, 0.862, 0.6761, 0.8, 1.0141], q:[0.431, 0.369], qb:[0.5831, 0.769], phi:[0.462]] | [M:[[0], [-6], [0], [-2], [4], [0], [6]], q:[[-1], [1]], qb:[[7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.028 + 2*t^2.4 + t^2.586 + t^2.772 + t^2.856 + t^3.042 + t^3.6 + t^3.786 + 2*t^4.056 + t^4.242 + 3*t^4.428 + t^4.614 + 4*t^4.8 + 2*t^4.885 + 2*t^4.986 + t^5.07 + 3*t^5.172 + 2*t^5.256 + 3*t^5.442 + 3*t^5.628 + t^5.713 + t^5.814 + t^5.899 - t^6. + 3*t^6.085 + t^6.186 + t^6.27 + t^6.372 + 4*t^6.456 + 4*t^6.642 - t^6.744 + 6*t^6.828 + 3*t^6.913 - t^6.93 + 2*t^7.014 + 3*t^7.099 + 5*t^7.2 + 5*t^7.285 + t^7.386 + 4*t^7.47 + 4*t^7.572 + 6*t^7.656 + 2*t^7.741 + t^7.758 + 5*t^7.842 + 2*t^7.927 + 2*t^8.028 + 5*t^8.113 - t^8.13 + t^8.214 + 4*t^8.299 - 3*t^8.4 + 9*t^8.485 + t^8.501 + t^8.569 - 3*t^8.586 + 5*t^8.67 + t^8.755 - 3*t^8.772 + 4*t^8.856 + 5*t^8.941 - t^8.958 - t^4.386/y - t^6.414/y - t^6.786/y - t^6.972/y - t^7.158/y + (2*t^7.428)/y + (2*t^7.614)/y + (3*t^7.8)/y + t^7.885/y + (3*t^7.986)/y + t^8.07/y + (2*t^8.172)/y + (2*t^8.256)/y + (2*t^8.358)/y + (2*t^8.442)/y + (3*t^8.628)/y + t^8.814/y + t^8.899/y - t^4.386*y - t^6.414*y - t^6.786*y - t^6.972*y - t^7.158*y + 2*t^7.428*y + 2*t^7.614*y + 3*t^7.8*y + t^7.885*y + 3*t^7.986*y + t^8.07*y + 2*t^8.172*y + 2*t^8.256*y + 2*t^8.358*y + 2*t^8.442*y + 3*t^8.628*y + t^8.814*y + t^8.899*y | g1^4*t^2.028 + 2*t^2.4 + t^2.586/g1^2 + t^2.772/g1^4 + g1^8*t^2.856 + g1^6*t^3.042 + t^3.6 + t^3.786/g1^2 + 2*g1^8*t^4.056 + g1^6*t^4.242 + 3*g1^4*t^4.428 + g1^2*t^4.614 + 4*t^4.8 + 2*g1^12*t^4.885 + (2*t^4.986)/g1^2 + g1^10*t^5.07 + (3*t^5.172)/g1^4 + 2*g1^8*t^5.256 + 3*g1^6*t^5.442 + 3*g1^4*t^5.628 + g1^16*t^5.713 + g1^2*t^5.814 + g1^14*t^5.899 - t^6. + 3*g1^12*t^6.085 + t^6.186/g1^2 + g1^10*t^6.27 + t^6.372/g1^4 + 4*g1^8*t^6.456 + 4*g1^6*t^6.642 - t^6.744/g1^8 + 6*g1^4*t^6.828 + 3*g1^16*t^6.913 - t^6.93/g1^10 + 2*g1^2*t^7.014 + 3*g1^14*t^7.099 + 5*t^7.2 + 5*g1^12*t^7.285 + t^7.386/g1^2 + 4*g1^10*t^7.47 + (4*t^7.572)/g1^4 + 6*g1^8*t^7.656 + 2*g1^20*t^7.741 + t^7.758/g1^6 + 5*g1^6*t^7.842 + 2*g1^18*t^7.927 + 2*g1^4*t^8.028 + 5*g1^16*t^8.113 - t^8.13/g1^10 + g1^2*t^8.214 + 4*g1^14*t^8.299 - 3*t^8.4 + 9*g1^12*t^8.485 + t^8.501/g1^14 + g1^24*t^8.569 - (3*t^8.586)/g1^2 + 5*g1^10*t^8.67 + g1^22*t^8.755 - (3*t^8.772)/g1^4 + 4*g1^8*t^8.856 + 5*g1^20*t^8.941 - t^8.958/g1^6 - t^4.386/(g1^2*y) - (g1^2*t^6.414)/y - t^6.786/(g1^2*y) - t^6.972/(g1^4*y) - t^7.158/(g1^6*y) + (2*g1^4*t^7.428)/y + (2*g1^2*t^7.614)/y + (3*t^7.8)/y + (g1^12*t^7.885)/y + (3*t^7.986)/(g1^2*y) + (g1^10*t^8.07)/y + (2*t^8.172)/(g1^4*y) + (2*g1^8*t^8.256)/y + (2*t^8.358)/(g1^6*y) + (2*g1^6*t^8.442)/y + (3*g1^4*t^8.628)/y + (g1^2*t^8.814)/y + (g1^14*t^8.899)/y - (t^4.386*y)/g1^2 - g1^2*t^6.414*y - (t^6.786*y)/g1^2 - (t^6.972*y)/g1^4 - (t^7.158*y)/g1^6 + 2*g1^4*t^7.428*y + 2*g1^2*t^7.614*y + 3*t^7.8*y + g1^12*t^7.885*y + (3*t^7.986*y)/g1^2 + g1^10*t^8.07*y + (2*t^8.172*y)/g1^4 + 2*g1^8*t^8.256*y + (2*t^8.358*y)/g1^6 + 2*g1^6*t^8.442*y + 3*g1^4*t^8.628*y + g1^2*t^8.814*y + g1^14*t^8.899*y |
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 |
---|---|---|---|---|---|---|---|---|
58953 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$ | 0.665 | 0.8303 | 0.8008 | [M:[1.2, 0.9844, 0.8, 0.8615, 0.677, 0.8, 1.0156, 1.323], q:[0.4307, 0.3693], qb:[0.5848, 0.7693], phi:[0.4615]] | 2*t^2.4 + t^2.584 + t^2.769 + t^2.862 + t^3.047 + t^3.6 + t^3.784 + t^3.969 + t^4.062 + t^4.247 + t^4.431 + 3*t^4.8 + t^4.893 + 2*t^4.984 + 3*t^5.169 + 2*t^5.262 + 3*t^5.447 + 2*t^5.631 + t^5.724 + t^5.909 - t^6. - t^4.384/y - t^4.384*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
55917 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6888 | 0.8731 | 0.7889 | [M:[1.2, 0.9495, 0.8, 0.8498, 0.7003, 0.8], q:[0.4249, 0.3751], qb:[0.6255, 0.7751], phi:[0.4498]] | t^2.101 + 2*t^2.4 + t^2.55 + t^2.699 + t^2.849 + t^3.002 + t^3.6 + t^3.75 + 2*t^4.202 + t^4.351 + 3*t^4.501 + t^4.65 + 4*t^4.8 + 3*t^4.95 + 3*t^5.099 + 2*t^5.103 + 2*t^5.249 + t^5.398 + 2*t^5.402 + t^5.548 + t^5.551 + t^5.697 + 2*t^5.701 + t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail |