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 |
---|---|---|---|---|---|---|---|---|---|
47208 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6113 | 0.7851 | 0.7787 | [M:[0.7401, 0.9204, 1.2599, 1.0, 0.7003], q:[0.5, 0.7599], qb:[0.5796, 0.2401], phi:[0.4801]] | [M:[[1], [8], [-1], [0], [5]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.101 + t^2.22 + t^2.459 + t^2.761 + 2*t^2.881 + t^3. + t^3.66 + t^3.78 + t^4.019 + t^4.202 + t^4.321 + 2*t^4.44 + t^4.56 + 2*t^4.679 + t^4.862 + 2*t^4.918 + 2*t^4.981 + 3*t^5.101 + t^5.22 + 2*t^5.34 + t^5.459 + t^5.523 + 2*t^5.642 + 4*t^5.761 + 3*t^5.881 - 2*t^6. + t^6.119 + t^6.302 + t^6.422 + t^6.477 + 4*t^6.541 + 3*t^6.66 + t^6.78 + 2*t^6.899 + t^6.963 + t^7.019 + 2*t^7.082 + 2*t^7.138 + 3*t^7.202 + 5*t^7.321 + 2*t^7.377 + 2*t^7.44 + 2*t^7.56 + t^7.623 + t^7.679 + 2*t^7.743 + 3*t^7.798 + 4*t^7.862 + t^7.918 + 5*t^7.981 + t^8.101 + t^8.22 + t^8.284 + 3*t^8.403 - 3*t^8.459 + 5*t^8.523 + 7*t^8.642 + t^8.698 + 3*t^8.761 - 3*t^8.881 + 2*t^8.936 - t^4.44/y - t^6.541/y - t^7.202/y + (2*t^7.56)/y + (2*t^7.679)/y + t^7.862/y + (3*t^7.981)/y + (3*t^8.101)/y + (2*t^8.22)/y + (3*t^8.34)/y + t^8.459/y + t^8.642/y + (3*t^8.761)/y + (4*t^8.881)/y - t^4.44*y - t^6.541*y - t^7.202*y + 2*t^7.56*y + 2*t^7.679*y + t^7.862*y + 3*t^7.981*y + 3*t^8.101*y + 2*t^8.22*y + 3*t^8.34*y + t^8.459*y + t^8.642*y + 3*t^8.761*y + 4*t^8.881*y | g1^5*t^2.101 + g1*t^2.22 + t^2.459/g1^7 + g1^8*t^2.761 + 2*g1^4*t^2.881 + t^3. + g1^3*t^3.66 + t^3.78/g1 + t^4.019/g1^9 + g1^10*t^4.202 + g1^6*t^4.321 + 2*g1^2*t^4.44 + t^4.56/g1^2 + (2*t^4.679)/g1^6 + g1^13*t^4.862 + (2*t^4.918)/g1^14 + 2*g1^9*t^4.981 + 3*g1^5*t^5.101 + g1*t^5.22 + (2*t^5.34)/g1^3 + t^5.459/g1^7 + g1^16*t^5.523 + 2*g1^12*t^5.642 + 4*g1^8*t^5.761 + 3*g1^4*t^5.881 - 2*t^6. + t^6.119/g1^4 + g1^15*t^6.302 + g1^11*t^6.422 + t^6.477/g1^16 + 4*g1^7*t^6.541 + 3*g1^3*t^6.66 + t^6.78/g1 + (2*t^6.899)/g1^5 + g1^18*t^6.963 + t^7.019/g1^9 + 2*g1^14*t^7.082 + (2*t^7.138)/g1^13 + 3*g1^10*t^7.202 + 5*g1^6*t^7.321 + (2*t^7.377)/g1^21 + 2*g1^2*t^7.44 + (2*t^7.56)/g1^2 + g1^21*t^7.623 + t^7.679/g1^6 + 2*g1^17*t^7.743 + (3*t^7.798)/g1^10 + 4*g1^13*t^7.862 + t^7.918/g1^14 + 5*g1^9*t^7.981 + g1^5*t^8.101 + g1*t^8.22 + g1^24*t^8.284 + 3*g1^20*t^8.403 - (3*t^8.459)/g1^7 + 5*g1^16*t^8.523 + 7*g1^12*t^8.642 + t^8.698/g1^15 + 3*g1^8*t^8.761 - 3*g1^4*t^8.881 + (2*t^8.936)/g1^23 - (g1^2*t^4.44)/y - (g1^7*t^6.541)/y - (g1^10*t^7.202)/y + (2*t^7.56)/(g1^2*y) + (2*t^7.679)/(g1^6*y) + (g1^13*t^7.862)/y + (3*g1^9*t^7.981)/y + (3*g1^5*t^8.101)/y + (2*g1*t^8.22)/y + (3*t^8.34)/(g1^3*y) + t^8.459/(g1^7*y) + (g1^12*t^8.642)/y + (3*g1^8*t^8.761)/y + (4*g1^4*t^8.881)/y - g1^2*t^4.44*y - g1^7*t^6.541*y - g1^10*t^7.202*y + (2*t^7.56*y)/g1^2 + (2*t^7.679*y)/g1^6 + g1^13*t^7.862*y + 3*g1^9*t^7.981*y + 3*g1^5*t^8.101*y + 2*g1*t^8.22*y + (3*t^8.34*y)/g1^3 + (t^8.459*y)/g1^7 + g1^12*t^8.642*y + 3*g1^8*t^8.761*y + 4*g1^4*t^8.881*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 |
---|---|---|---|---|---|---|---|---|
55533 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6061 | 0.7767 | 0.7804 | [M:[0.7459, 0.9669, 1.2541, 1.0, 0.7293, 1.0331], q:[0.5, 0.7541], qb:[0.5331, 0.2459], phi:[0.4917]] | t^2.188 + t^2.238 + t^2.337 + 2*t^2.95 + t^3. + t^3.099 + t^3.713 + t^3.762 + t^3.862 + t^4.376 + t^4.426 + 2*t^4.475 + t^4.525 + 2*t^4.574 + 2*t^4.674 + t^5.138 + 3*t^5.188 + 3*t^5.287 + 2*t^5.337 + t^5.436 + 3*t^5.901 + 3*t^5.95 - 2*t^6. - t^4.475/y - t^4.475*y | detail | |
55579 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6307 | 0.8208 | 0.7684 | [M:[0.7398, 0.9181, 1.2602, 1.0, 0.6988, 0.7398], q:[0.5, 0.7602], qb:[0.5819, 0.2398], phi:[0.4795]] | t^2.096 + 2*t^2.219 + t^2.465 + t^2.754 + 2*t^2.877 + t^3. + t^3.658 + t^4.026 + t^4.193 + 2*t^4.316 + 4*t^4.439 + t^4.561 + 3*t^4.684 + t^4.851 + 2*t^4.93 + 3*t^4.974 + 5*t^5.096 + 2*t^5.219 + 2*t^5.342 + t^5.465 + t^5.509 + 2*t^5.631 + 4*t^5.754 + 3*t^5.877 - 3*t^6. - t^4.439/y - t^4.439*y | detail | |
54345 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.629 | 0.8165 | 0.7704 | [M:[0.7413, 0.9302, 1.2587, 1.0, 0.7064, 0.7762], q:[0.5, 0.7587], qb:[0.5698, 0.2413], phi:[0.4826]] | t^2.119 + t^2.224 + t^2.329 + t^2.433 + t^2.791 + 2*t^2.895 + t^3. + t^3.776 + t^3.986 + t^4.238 + t^4.343 + 3*t^4.448 + 2*t^4.552 + 3*t^4.657 + t^4.762 + 2*t^4.866 + t^4.91 + 2*t^5.014 + 4*t^5.119 + 3*t^5.224 + 3*t^5.329 + t^5.433 + t^5.581 + 2*t^5.686 + 3*t^5.791 + 2*t^5.895 - 2*t^6. - t^4.448/y - t^4.448*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 |
---|---|---|---|---|---|---|---|---|---|
46591 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.5908 | 0.7459 | 0.7921 | [M:[0.7408, 0.9267, 1.2592, 1.0], q:[0.5, 0.7592], qb:[0.5733, 0.2408], phi:[0.4817]] | t^2.223 + t^2.442 + t^2.78 + 2*t^2.89 + t^3. + t^3.668 + t^3.777 + t^3.887 + t^3.997 + 2*t^4.445 + 2*t^4.665 + 2*t^4.885 + 2*t^5.113 + t^5.223 + 2*t^5.332 + t^5.442 + t^5.56 + 2*t^5.67 + 3*t^5.78 + 2*t^5.89 - 2*t^6. - t^4.445/y - t^4.445*y | detail |