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 |
---|---|---|---|---|---|---|---|---|---|
57865 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{7}$ | 0.6922 | 0.8511 | 0.8133 | [M:[0.9685, 1.0852, 1.0315, 0.7445, 0.8612, 0.7981, 1.2555], q:[0.3722, 0.6593], qb:[0.5426, 0.5962], phi:[0.4574]] | [M:[[11], [2], [-11], [-6], [-15], [7], [6]], q:[[-3], [-8]], qb:[[1], [14]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -1 | t^2.394 + t^2.584 + t^2.744 + t^2.905 + t^3.095 + t^3.256 + t^3.606 + t^3.767 + t^4.117 + t^4.278 + t^4.467 + t^4.628 + 2*t^4.789 + t^4.95 + 2*t^4.978 + t^5.139 + t^5.167 + t^5.3 + t^5.328 + 2*t^5.489 + t^5.65 + t^5.678 + t^5.839 - t^6. + t^6.161 + t^6.189 + 2*t^6.35 + t^6.511 + t^6.672 + t^6.7 + 2*t^6.861 + 2*t^7.022 + t^7.05 + 2*t^7.183 + 2*t^7.211 + t^7.344 + 3*t^7.372 + 3*t^7.533 + 2*t^7.561 + 2*t^7.694 + 2*t^7.722 + t^7.751 + t^7.855 + 2*t^7.883 + t^7.912 + 2*t^8.044 + 3*t^8.072 + 2*t^8.233 + t^8.262 - t^8.394 + 2*t^8.423 + 2*t^8.555 - t^8.584 + t^8.716 + t^8.773 - t^8.905 + 2*t^8.934 - t^4.372/y - t^6.767/y - t^6.956/y + t^7.789/y + (2*t^7.978)/y + t^8.139/y + t^8.3/y + t^8.328/y + (2*t^8.489)/y + (2*t^8.65)/y + t^8.678/y + (2*t^8.839)/y - t^4.372*y - t^6.767*y - t^6.956*y + t^7.789*y + 2*t^7.978*y + t^8.139*y + t^8.3*y + t^8.328*y + 2*t^8.489*y + 2*t^8.65*y + t^8.678*y + 2*t^8.839*y | g1^7*t^2.394 + t^2.584/g1^15 + t^2.744/g1^2 + g1^11*t^2.905 + t^3.095/g1^11 + g1^2*t^3.256 + t^3.606/g1^7 + g1^6*t^3.767 + t^4.117/g1^3 + g1^10*t^4.278 + t^4.467/g1^12 + g1*t^4.628 + 2*g1^14*t^4.789 + g1^27*t^4.95 + (2*t^4.978)/g1^8 + g1^5*t^5.139 + t^5.167/g1^30 + g1^18*t^5.3 + t^5.328/g1^17 + (2*t^5.489)/g1^4 + g1^9*t^5.65 + t^5.678/g1^26 + t^5.839/g1^13 - t^6. + g1^13*t^6.161 + t^6.189/g1^22 + (2*t^6.35)/g1^9 + g1^4*t^6.511 + g1^17*t^6.672 + t^6.7/g1^18 + (2*t^6.861)/g1^5 + 2*g1^8*t^7.022 + t^7.05/g1^27 + 2*g1^21*t^7.183 + (2*t^7.211)/g1^14 + g1^34*t^7.344 + (3*t^7.372)/g1 + 3*g1^12*t^7.533 + (2*t^7.561)/g1^23 + 2*g1^25*t^7.694 + (2*t^7.722)/g1^10 + t^7.751/g1^45 + g1^38*t^7.855 + 2*g1^3*t^7.883 + t^7.912/g1^32 + 2*g1^16*t^8.044 + (3*t^8.072)/g1^19 + (2*t^8.233)/g1^6 + t^8.262/g1^41 - g1^7*t^8.394 + (2*t^8.423)/g1^28 + 2*g1^20*t^8.555 - t^8.584/g1^15 + g1^33*t^8.716 + t^8.773/g1^37 - g1^11*t^8.905 + (2*t^8.934)/g1^24 - t^4.372/(g1*y) - (g1^6*t^6.767)/y - t^6.956/(g1^16*y) + (g1^14*t^7.789)/y + (2*t^7.978)/(g1^8*y) + (g1^5*t^8.139)/y + (g1^18*t^8.3)/y + t^8.328/(g1^17*y) + (2*t^8.489)/(g1^4*y) + (2*g1^9*t^8.65)/y + t^8.678/(g1^26*y) + (2*t^8.839)/(g1^13*y) - (t^4.372*y)/g1 - g1^6*t^6.767*y - (t^6.956*y)/g1^16 + g1^14*t^7.789*y + (2*t^7.978*y)/g1^8 + g1^5*t^8.139*y + g1^18*t^8.3*y + (t^8.328*y)/g1^17 + (2*t^8.489*y)/g1^4 + 2*g1^9*t^8.65*y + (t^8.678*y)/g1^26 + (2*t^8.839*y)/g1^13 |
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 |
---|---|---|---|---|---|---|---|---|
58948 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6817 | 0.8345 | 0.8169 | [M:[0.9359, 1.0792, 1.0641, 0.7623, 0.9056, 0.7774, 1.2377, 1.0944], q:[0.3811, 0.683], qb:[0.5396, 0.5547], phi:[0.4604]] | t^2.332 + t^2.762 + t^2.808 + t^3.192 + t^3.238 + t^3.283 + t^3.668 + t^3.713 + t^4.143 + t^4.189 + t^4.574 + t^4.619 + 2*t^4.664 + t^4.71 + t^5.049 + t^5.094 + t^5.14 + t^5.525 + t^5.57 + t^5.615 - t^6. - t^4.381/y - t^4.381*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 |
---|---|---|---|---|---|---|---|---|---|
56000 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7115 | 0.8866 | 0.8025 | [M:[0.9742, 1.0862, 1.0258, 0.7414, 0.8534, 0.8017], q:[0.3707, 0.6552], qb:[0.5431, 0.6035], phi:[0.4569]] | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. - t^4.371/y - t^4.371*y | detail |