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 |
---|---|---|---|---|---|---|---|---|---|
662 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6993 | 0.8739 | 0.8002 | [M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], phi:[0.4373]] | [M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [-1, -1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -3 | t^2.064 + t^2.307 + 2*t^2.624 + t^2.866 + t^2.941 + t^3.619 + t^3.861 + t^4.01 + 2*t^4.129 + 2*t^4.371 + t^4.446 + t^4.613 + 2*t^4.688 + t^4.881 + 3*t^4.93 + t^5.005 + t^5.173 + 4*t^5.248 + t^5.49 + t^5.565 + t^5.683 + t^5.732 + t^5.807 + t^5.882 + t^5.925 - 3*t^6. + t^6.168 + 2*t^6.193 + t^6.242 + 2*t^6.435 + 3*t^6.485 + 2*t^6.634 + 2*t^6.678 + t^6.727 + 3*t^6.752 + t^6.92 + t^6.945 + t^6.951 + 4*t^6.995 + 2*t^7.07 + t^7.188 + 3*t^7.237 + 3*t^7.312 - t^7.387 + 2*t^7.48 + t^7.505 + 4*t^7.554 + t^7.629 + t^7.722 + t^7.747 + 2*t^7.797 - t^7.822 + 6*t^7.871 + t^7.946 + 2*t^7.99 + t^8.021 + t^8.039 - 4*t^8.064 + 2*t^8.114 + 2*t^8.189 + 2*t^8.232 + 2*t^8.257 - 3*t^8.307 + t^8.356 - 2*t^8.381 + t^8.431 + t^8.456 + t^8.474 + 3*t^8.499 + t^8.506 + 2*t^8.549 + t^8.599 - 6*t^8.624 + t^8.673 + 3*t^8.742 + t^8.748 + 3*t^8.791 + t^8.817 + t^8.823 - 2*t^8.866 + t^8.891 - 3*t^8.941 + 2*t^8.984 - t^4.312/y - t^6.376/y - t^6.619/y - t^6.936/y - t^7.178/y - t^7.253/y + (2*t^7.371)/y + t^7.446/y + (3*t^7.688)/y + (3*t^7.93)/y + (2*t^8.005)/y + t^8.173/y + (3*t^8.248)/y - t^8.44/y + (2*t^8.49)/y + (2*t^8.565)/y + t^8.807/y + t^8.925/y - t^4.312*y - t^6.376*y - t^6.619*y - t^6.936*y - t^7.178*y - t^7.253*y + 2*t^7.371*y + t^7.446*y + 3*t^7.688*y + 3*t^7.93*y + 2*t^8.005*y + t^8.173*y + 3*t^8.248*y - t^8.44*y + 2*t^8.49*y + 2*t^8.565*y + t^8.807*y + t^8.925*y | g1^6*t^2.064 + t^2.307/(g1*g2) + (2*t^2.624)/g1^4 + t^2.866/(g1^11*g2) + (g2*t^2.941)/g1^7 + t^3.619/(g1^3*g2) + t^3.861/(g1^10*g2^2) + (g2^2*t^4.01)/g1^2 + 2*g1^12*t^4.129 + (2*g1^5*t^4.371)/g2 + g1^9*g2*t^4.446 + t^4.613/(g1^2*g2^2) + 2*g1^2*t^4.688 + g1^20*t^4.881 + (3*t^4.93)/(g1^5*g2) + (g2*t^5.005)/g1 + t^5.173/(g1^12*g2^2) + (4*t^5.248)/g1^8 + t^5.49/(g1^15*g2) + (g2*t^5.565)/g1^11 + (g1^3*t^5.683)/g2 + t^5.732/(g1^22*g2^2) + t^5.807/g1^18 + (g2^2*t^5.882)/g1^14 + t^5.925/(g1^4*g2^2) - 3*t^6. + t^6.168/(g1^11*g2^3) + 2*g1^18*t^6.193 + t^6.242/(g1^7*g2) + (2*g1^11*t^6.435)/g2 + (3*t^6.485)/(g1^14*g2^2) + (2*g2^2*t^6.634)/g1^6 + (2*g1^4*t^6.678)/g2^2 + t^6.727/(g1^21*g2^3) + 3*g1^8*t^6.752 + t^6.92/(g1^3*g2^3) + g1^26*t^6.945 + (g2^3*t^6.951)/g1^9 + (4*g1*t^6.995)/g2 + 2*g1^5*g2*t^7.07 + (g1^19*t^7.188)/g2 + (3*t^7.237)/(g1^6*g2^2) + (3*t^7.312)/g1^2 - g1^2*g2^2*t^7.387 + (2*t^7.48)/(g1^13*g2^3) + g1^16*t^7.505 + (4*t^7.554)/(g1^9*g2) + (g2*t^7.629)/g1^5 + t^7.722/(g1^20*g2^4) + (g1^9*t^7.747)/g2 + (2*t^7.797)/(g1^16*g2^2) - g1^13*g2*t^7.822 + (6*t^7.871)/g1^12 + (g2^2*t^7.946)/g1^8 + (2*g1^2*t^7.99)/g2^2 + (g2^4*t^8.021)/g1^4 + t^8.039/(g1^23*g2^3) - 4*g1^6*t^8.064 + (2*t^8.114)/(g1^19*g2) + (2*g2*t^8.189)/g1^15 + (2*t^8.232)/(g1^5*g2^3) + 2*g1^24*t^8.257 - (3*t^8.307)/(g1*g2) + t^8.356/(g1^26*g2^2) - 2*g1^3*g2*t^8.381 + t^8.431/g1^22 + g1^7*g2^3*t^8.456 + t^8.474/(g1^12*g2^4) + (3*g1^17*t^8.499)/g2 + (g2^2*t^8.506)/g1^18 + (2*t^8.549)/(g1^8*g2^2) + t^8.599/(g1^33*g2^3) - (6*t^8.624)/g1^4 + t^8.673/(g1^29*g2) + (3*g1^10*t^8.742)/g2^2 + (g2*t^8.748)/g1^25 + (3*t^8.791)/(g1^15*g2^3) + g1^14*t^8.817 + (g2^3*t^8.823)/g1^21 - (2*t^8.866)/(g1^11*g2) + g1^18*g2^2*t^8.891 - (3*g2*t^8.941)/g1^7 + (2*g1^3*t^8.984)/g2^3 - t^4.312/(g1^2*y) - (g1^4*t^6.376)/y - t^6.619/(g1^3*g2*y) - t^6.936/(g1^6*y) - t^7.178/(g1^13*g2*y) - (g2*t^7.253)/(g1^9*y) + (2*g1^5*t^7.371)/(g2*y) + (g1^9*g2*t^7.446)/y + (3*g1^2*t^7.688)/y + (3*t^7.93)/(g1^5*g2*y) + (2*g2*t^8.005)/(g1*y) + t^8.173/(g1^12*g2^2*y) + (3*t^8.248)/(g1^8*y) - (g1^10*t^8.44)/y + (2*t^8.49)/(g1^15*g2*y) + (2*g2*t^8.565)/(g1^11*y) + t^8.807/(g1^18*y) + t^8.925/(g1^4*g2^2*y) - (t^4.312*y)/g1^2 - g1^4*t^6.376*y - (t^6.619*y)/(g1^3*g2) - (t^6.936*y)/g1^6 - (t^7.178*y)/(g1^13*g2) - (g2*t^7.253*y)/g1^9 + (2*g1^5*t^7.371*y)/g2 + g1^9*g2*t^7.446*y + 3*g1^2*t^7.688*y + (3*t^7.93*y)/(g1^5*g2) + (2*g2*t^8.005*y)/g1 + (t^8.173*y)/(g1^12*g2^2) + (3*t^8.248*y)/g1^8 - g1^10*t^8.44*y + (2*t^8.49*y)/(g1^15*g2) + (2*g2*t^8.565*y)/g1^11 + (t^8.807*y)/g1^18 + (t^8.925*y)/(g1^4*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
1055 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.6976 | 0.8709 | 0.801 | [M:[0.9895, 1.1134, 1.0, 0.6702, 0.8866, 0.7836], q:[0.7784, 0.4485], qb:[0.562, 0.438], phi:[0.4433]] | t^2.01 + t^2.351 + 2*t^2.66 + t^2.969 + t^3. + t^3.681 + t^3.958 + 3*t^4.021 + t^4.33 + 2*t^4.361 + 2*t^4.67 + 2*t^4.702 + t^4.979 + 3*t^5.01 + 4*t^5.319 + t^5.351 + t^5.628 + t^5.66 + t^5.691 + t^5.937 + t^5.969 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
1056 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.699 | 0.8728 | 0.8008 | [M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] | t^2.064 + t^2.344 + 2*t^2.624 + 2*t^2.904 + t^3.656 + 2*t^3.936 + 2*t^4.128 + 3*t^4.408 + 3*t^4.688 + t^4.881 + 4*t^4.968 + 5*t^5.248 + 2*t^5.528 + t^5.72 + 3*t^5.808 - 2*t^6. - t^4.312/y - t^4.312*y | detail | |
1058 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7198 | 0.9129 | 0.7884 | [M:[0.9768, 1.1237, 0.9666, 0.6855, 0.8763, 0.7758, 0.6958], q:[0.7809, 0.433], qb:[0.5902, 0.4433], phi:[0.4382]] | t^2.057 + t^2.087 + t^2.327 + 2*t^2.629 + t^2.9 + t^2.93 + t^3.642 + t^3.974 + 2*t^4.113 + t^4.144 + t^4.175 + 2*t^4.384 + 2*t^4.415 + t^4.655 + 2*t^4.686 + 2*t^4.716 + t^4.855 + 3*t^4.956 + 2*t^4.987 + t^5.018 + t^5.227 + 4*t^5.258 + t^5.529 + t^5.559 + t^5.698 + t^5.729 + t^5.799 + t^5.83 + t^5.861 - 3*t^6. - t^4.314/y - t^4.314*y | detail | |
1057 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7165 | 0.904 | 0.7926 | [M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] | t^2.06 + 2*t^2.343 + 2*t^2.627 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.403 + 5*t^4.687 + t^4.866 + 6*t^4.97 + 7*t^5.254 + 2*t^5.537 + 3*t^5.821 - 3*t^6. - t^4.313/y - t^4.313*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 |
---|---|---|---|---|---|---|---|---|---|
411 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6814 | 0.8416 | 0.8096 | [M:[0.9657, 1.1263, 0.9657, 0.6895, 0.8737], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] | t^2.069 + 2*t^2.621 + 2*t^2.897 + 2*t^3.655 + 2*t^3.931 + 2*t^4.137 + 2*t^4.413 + 2*t^4.69 + t^4.895 + 2*t^4.966 + 3*t^5.242 + 2*t^5.518 + 2*t^5.724 + 3*t^5.794 - 3*t^6. - t^4.31/y - t^4.31*y | detail |