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 |
---|---|---|---|---|---|---|---|---|---|
2482 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ | 0.7556 | 0.9503 | 0.7951 | [M:[0.7959, 1.0276, 0.9724, 0.851, 1.0, 0.7207, 0.8235, 0.9724], q:[0.6159, 0.5883], qb:[0.4117, 0.5607], phi:[0.4559]] | [M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0], [4, 0], [2, 1]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{8}^{2}$ | ${}$ | -3 | t^2.162 + t^2.388 + t^2.47 + t^2.553 + t^2.735 + 2*t^2.917 + t^3. + t^4.285 + t^4.324 + t^4.368 + t^4.45 + t^4.55 + t^4.632 + t^4.715 + t^4.732 + t^4.775 + t^4.814 + t^4.858 + 3*t^4.897 + 2*t^4.941 + t^4.98 + t^5.023 + t^5.063 + 2*t^5.079 + t^5.106 + t^5.123 + t^5.162 + t^5.206 + t^5.288 + 2*t^5.305 + 2*t^5.388 + 3*t^5.47 + 2*t^5.652 + t^5.735 + 2*t^5.834 - 3*t^6. - 2*t^6.083 - t^6.166 + t^6.486 - t^6.53 + t^6.672 + t^6.712 + t^6.755 + t^6.794 + 2*t^6.838 + t^6.877 + t^6.894 + t^6.921 + t^6.937 + t^6.977 + t^7.003 + 2*t^7.02 + 3*t^7.059 + 2*t^7.103 + t^7.119 + t^7.142 + t^7.163 + 2*t^7.186 + 3*t^7.202 + t^7.225 + 2*t^7.241 + t^7.246 + t^7.268 + 5*t^7.285 + t^7.324 + 2*t^7.328 + 4*t^7.368 + 2*t^7.411 + 3*t^7.45 + 3*t^7.467 + 2*t^7.494 + t^7.51 + t^7.533 + 2*t^7.55 + t^7.577 + t^7.593 + t^7.616 + 4*t^7.632 + 2*t^7.649 + t^7.659 + 2*t^7.676 + 2*t^7.692 + 2*t^7.732 + t^7.759 + 2*t^7.775 + t^7.798 + 4*t^7.814 + t^7.841 + 4*t^7.858 + t^7.897 + 2*t^7.941 + t^7.997 + 2*t^8.023 + 2*t^8.04 - t^8.079 + 2*t^8.123 - 5*t^8.162 + 3*t^8.206 + 2*t^8.222 - 3*t^8.245 + t^8.305 - 2*t^8.328 - t^8.344 - t^8.388 - t^8.427 - 5*t^8.47 - t^8.51 - 6*t^8.553 + 2*t^8.57 - 2*t^8.636 + t^8.648 - t^8.692 - t^8.719 - 3*t^8.735 + 2*t^8.752 - 2*t^8.818 - t^8.834 + t^8.874 - t^8.901 - 8*t^8.917 + t^8.957 - t^4.368/y - t^6.53/y - t^6.755/y - t^6.838/y - t^6.921/y - t^7.103/y - t^7.285/y + t^7.45/y + t^7.55/y + (2*t^7.632)/y + t^7.715/y + t^7.814/y + t^7.858/y + (2*t^7.897)/y + t^7.941/y + t^7.98/y + t^8.023/y + (2*t^8.079)/y + t^8.123/y + t^8.162/y + (2*t^8.206)/y + t^8.288/y + (2*t^8.305)/y + (3*t^8.388)/y + (3*t^8.47)/y + t^8.553/y + (2*t^8.652)/y - t^8.692/y + t^8.735/y + t^8.834/y + t^8.917/y - t^4.368*y - t^6.53*y - t^6.755*y - t^6.838*y - t^6.921*y - t^7.103*y - t^7.285*y + t^7.45*y + t^7.55*y + 2*t^7.632*y + t^7.715*y + t^7.814*y + t^7.858*y + 2*t^7.897*y + t^7.941*y + t^7.98*y + t^8.023*y + 2*t^8.079*y + t^8.123*y + t^8.162*y + 2*t^8.206*y + t^8.288*y + 2*t^8.305*y + 3*t^8.388*y + 3*t^8.47*y + t^8.553*y + 2*t^8.652*y - t^8.692*y + t^8.735*y + t^8.834*y + t^8.917*y | t^2.162/g1^5 + g1^6*g2*t^2.388 + g1^4*t^2.47 + (g1^2*t^2.553)/g2 + g1^2*t^2.735 + 2*g1^2*g2*t^2.917 + t^3. + g1^3*g2*t^4.285 + t^4.324/g1^10 + g1*t^4.368 + t^4.45/(g1*g2) + g1*g2*t^4.55 + t^4.632/g1 + t^4.715/(g1^3*g2) + g1*g2^2*t^4.732 + g1^12*g2^2*t^4.775 + (g2*t^4.814)/g1 + g1^10*g2*t^4.858 + (3*t^4.897)/g1^3 + 2*g1^8*t^4.941 + t^4.98/(g1^5*g2) + (g1^6*t^5.023)/g2 + t^5.063/(g1^7*g2^2) + (2*g2*t^5.079)/g1^3 + (g1^4*t^5.106)/g2^2 + g1^8*g2*t^5.123 + t^5.162/g1^5 + g1^6*t^5.206 + (g1^4*t^5.288)/g2 + 2*g1^8*g2^2*t^5.305 + 2*g1^6*g2*t^5.388 + 3*g1^4*t^5.47 + 2*g1^4*g2*t^5.652 + g1^2*t^5.735 + 2*g1^4*g2^2*t^5.834 - 3*t^6. - (2*t^6.083)/(g1^2*g2) - t^6.166/(g1^4*g2^2) + t^6.486/g1^15 - t^6.53/g1^4 + g1^9*g2^2*t^6.672 + (g2*t^6.712)/g1^4 + g1^7*g2*t^6.755 + t^6.794/g1^6 + 2*g1^5*t^6.838 + t^6.877/(g1^8*g2) + (g2^2*t^6.894)/g1^4 + (g1^3*t^6.921)/g2 + g1^7*g2^2*t^6.937 + (g2*t^6.977)/g1^6 + (g1*t^7.003)/g2^2 + 2*g1^5*g2*t^7.02 + (3*t^7.059)/g1^8 + 2*g1^3*t^7.103 + g1^7*g2^3*t^7.119 + t^7.142/(g1^10*g2) + g1^18*g2^3*t^7.163 + (2*g1*t^7.186)/g2 + 3*g1^5*g2^2*t^7.202 + t^7.225/(g1^12*g2^2) + (2*g2*t^7.241)/g1^8 + g1^16*g2^2*t^7.246 + t^7.268/(g1*g2^2) + 5*g1^3*g2*t^7.285 + t^7.324/g1^10 + 2*g1^14*g2*t^7.328 + 4*g1*t^7.368 + 2*g1^12*t^7.411 + (3*t^7.45)/(g1*g2) + 3*g1^3*g2^2*t^7.467 + (2*g1^10*t^7.494)/g2 + g1^14*g2^2*t^7.51 + t^7.533/(g1^3*g2^2) + 2*g1*g2*t^7.55 + (g1^8*t^7.577)/g2^2 + g1^12*g2*t^7.593 + t^7.616/(g1^5*g2^3) + (4*t^7.632)/g1 + 2*g1^3*g2^3*t^7.649 + (g1^6*t^7.659)/g2^3 + 2*g1^10*t^7.676 + 2*g1^14*g2^3*t^7.692 + 2*g1*g2^2*t^7.732 + (g1^8*t^7.759)/g2 + 2*g1^12*g2^2*t^7.775 + t^7.798/(g1^5*g2^2) + (4*g2*t^7.814)/g1 + (g1^6*t^7.841)/g2^2 + 4*g1^10*g2*t^7.858 + t^7.897/g1^3 + 2*g1^8*t^7.941 + (g2^2*t^7.997)/g1 + (2*g1^6*t^8.023)/g2 + 2*g1^10*g2^2*t^8.04 - (g2*t^8.079)/g1^3 + 2*g1^8*g2*t^8.123 - (5*t^8.162)/g1^5 + 3*g1^6*t^8.206 + 2*g1^10*g2^3*t^8.222 - (3*t^8.245)/(g1^7*g2) + g1^8*g2^2*t^8.305 - (2*t^8.328)/(g1^9*g2^2) - (g2*t^8.344)/g1^5 - g1^6*g2*t^8.388 - t^8.427/g1^7 - 5*g1^4*t^8.47 - t^8.51/(g1^9*g2) - (6*g1^2*t^8.553)/g2 + 2*g1^6*g2^2*t^8.57 - (2*t^8.636)/g2^2 + t^8.648/g1^20 - t^8.692/g1^9 - t^8.719/(g1^2*g2^3) - 3*g1^2*t^8.735 + 2*g1^6*g2^3*t^8.752 - (2*t^8.818)/g2 - g1^4*g2^2*t^8.834 + (g2*t^8.874)/g1^9 - t^8.901/(g1^2*g2^2) - 8*g1^2*g2*t^8.917 + t^8.957/g1^11 - (g1*t^4.368)/y - t^6.53/(g1^4*y) - (g1^7*g2*t^6.755)/y - (g1^5*t^6.838)/y - (g1^3*t^6.921)/(g2*y) - (g1^3*t^7.103)/y - (g1^3*g2*t^7.285)/y + t^7.45/(g1*g2*y) + (g1*g2*t^7.55)/y + (2*t^7.632)/(g1*y) + t^7.715/(g1^3*g2*y) + (g2*t^7.814)/(g1*y) + (g1^10*g2*t^7.858)/y + (2*t^7.897)/(g1^3*y) + (g1^8*t^7.941)/y + t^7.98/(g1^5*g2*y) + (g1^6*t^8.023)/(g2*y) + (2*g2*t^8.079)/(g1^3*y) + (g1^8*g2*t^8.123)/y + t^8.162/(g1^5*y) + (2*g1^6*t^8.206)/y + (g1^4*t^8.288)/(g2*y) + (2*g1^8*g2^2*t^8.305)/y + (3*g1^6*g2*t^8.388)/y + (3*g1^4*t^8.47)/y + (g1^2*t^8.553)/(g2*y) + (2*g1^4*g2*t^8.652)/y - t^8.692/(g1^9*y) + (g1^2*t^8.735)/y + (g1^4*g2^2*t^8.834)/y + (g1^2*g2*t^8.917)/y - g1*t^4.368*y - (t^6.53*y)/g1^4 - g1^7*g2*t^6.755*y - g1^5*t^6.838*y - (g1^3*t^6.921*y)/g2 - g1^3*t^7.103*y - g1^3*g2*t^7.285*y + (t^7.45*y)/(g1*g2) + g1*g2*t^7.55*y + (2*t^7.632*y)/g1 + (t^7.715*y)/(g1^3*g2) + (g2*t^7.814*y)/g1 + g1^10*g2*t^7.858*y + (2*t^7.897*y)/g1^3 + g1^8*t^7.941*y + (t^7.98*y)/(g1^5*g2) + (g1^6*t^8.023*y)/g2 + (2*g2*t^8.079*y)/g1^3 + g1^8*g2*t^8.123*y + (t^8.162*y)/g1^5 + 2*g1^6*t^8.206*y + (g1^4*t^8.288*y)/g2 + 2*g1^8*g2^2*t^8.305*y + 3*g1^6*g2*t^8.388*y + 3*g1^4*t^8.47*y + (g1^2*t^8.553*y)/g2 + 2*g1^4*g2*t^8.652*y - (t^8.692*y)/g1^9 + g1^2*t^8.735*y + g1^4*g2^2*t^8.834*y + g1^2*g2*t^8.917*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 |
---|---|---|---|---|---|---|---|---|
4541 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}^{2}$ | 0.7543 | 0.9473 | 0.7962 | [M:[0.8235, 1.0, 1.0, 0.8235, 1.0, 0.7207, 0.8235, 1.0], q:[0.5883, 0.5883], qb:[0.4117, 0.5883], phi:[0.4559]] | t^2.162 + 3*t^2.47 + t^2.735 + 3*t^3. + t^4.324 + 3*t^4.368 + 3*t^4.632 + 7*t^4.897 + 6*t^4.941 + 3*t^5.162 + 3*t^5.206 + 7*t^5.47 + 3*t^5.735 - 4*t^6. - t^4.368/y - t^4.368*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 |
---|---|---|---|---|---|---|---|---|---|
1418 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7543 | 0.9473 | 0.7962 | [M:[0.8235, 1.0, 1.0, 0.8235, 1.0, 0.7207, 0.8235], q:[0.5883, 0.5883], qb:[0.4117, 0.5883], phi:[0.4559]] | t^2.162 + 3*t^2.47 + t^2.735 + 3*t^3. + t^4.324 + 3*t^4.368 + 3*t^4.632 + 7*t^4.897 + 6*t^4.941 + 3*t^5.162 + 3*t^5.206 + 7*t^5.47 + 3*t^5.735 - 4*t^6. - t^4.368/y - t^4.368*y | detail |