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 |
---|---|---|---|---|---|---|---|---|---|
46737 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.7024 | 0.8607 | 0.8161 | [M:[1.02, 1.0504, 0.98, 0.8793, 0.9496], q:[0.4396, 0.5404], qb:[0.51, 0.5803], phi:[0.4824]] | [M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.638 + t^2.849 + t^2.894 + t^2.94 + t^3.06 + t^3.151 + t^3.271 + t^4.085 + t^4.296 + t^4.387 + 2*t^4.507 + t^4.598 + t^4.69 + t^4.718 + t^4.809 + t^4.929 + t^5.276 + t^5.487 + t^5.532 + t^5.698 + t^5.743 + t^5.789 + t^5.835 + t^5.909 + t^5.954 - 2*t^6. + t^6.046 + t^6.12 + t^6.165 - t^6.211 + t^6.331 + t^6.542 + t^6.723 + 2*t^6.934 + t^6.98 + t^7.025 + 3*t^7.145 + t^7.236 + t^7.282 + t^7.327 + 3*t^7.356 + t^7.402 + t^7.447 + t^7.538 + 3*t^7.567 + t^7.584 - t^7.613 + t^7.63 + t^7.658 + t^7.75 + 3*t^7.778 - t^7.795 + t^7.841 + t^7.869 + t^7.914 - t^7.915 + t^7.961 + 2*t^7.989 - t^8.035 + t^8.08 + t^8.125 + 2*t^8.17 + t^8.2 + t^8.336 + 2*t^8.381 + t^8.472 + t^8.547 + 3*t^8.592 - 3*t^8.638 + 2*t^8.683 + t^8.758 + t^8.775 + 3*t^8.803 - 5*t^8.849 - 2*t^8.94 + t^8.969 + t^8.986 - t^4.447/y - t^7.085/y - t^7.342/y + t^7.553/y + t^7.809/y + t^8.487/y + t^8.532/y + t^8.578/y + t^8.698/y + t^8.743/y + (2*t^8.789)/y + t^8.835/y + (2*t^8.909)/y + t^8.954/y - t^4.447*y - t^7.085*y - t^7.342*y + t^7.553*y + t^7.809*y + t^8.487*y + t^8.532*y + t^8.578*y + t^8.698*y + t^8.743*y + 2*t^8.789*y + t^8.835*y + 2*t^8.909*y + t^8.954*y | (g1^16*t^2.638)/g2^8 + (g1^12*t^2.849)/g2^4 + (g1^2*t^2.894)/g2^2 + t^2.94/g1^8 + g1^8*t^3.06 + (g2^4*t^3.151)/g1^12 + g1^4*g2^4*t^3.271 + (g1^17*t^4.085)/g2^9 + (g1^13*t^4.296)/g2^5 + t^4.387/(g1^7*g2) + (2*g1^9*t^4.507)/g2 + (g2^3*t^4.598)/g1^11 + (g2^7*t^4.69)/g1^31 + g1^5*g2^3*t^4.718 + (g2^7*t^4.809)/g1^15 + g1*g2^7*t^4.929 + (g1^32*t^5.276)/g2^16 + (g1^28*t^5.487)/g2^12 + (g1^18*t^5.532)/g2^10 + (g1^24*t^5.698)/g2^8 + (g1^14*t^5.743)/g2^6 + (g1^4*t^5.789)/g2^4 + t^5.835/(g1^6*g2^2) + (g1^20*t^5.909)/g2^4 + (g1^10*t^5.954)/g2^2 - 2*t^6. + (g2^2*t^6.046)/g1^10 + g1^16*t^6.12 + g1^6*g2^2*t^6.165 - (g2^4*t^6.211)/g1^4 + g1^12*g2^4*t^6.331 + g1^8*g2^8*t^6.542 + (g1^33*t^6.723)/g2^17 + (2*g1^29*t^6.934)/g2^13 + (g1^19*t^6.98)/g2^11 + (g1^9*t^7.025)/g2^9 + (3*g1^25*t^7.145)/g2^9 + (g1^5*t^7.236)/g2^5 + t^7.282/(g1^5*g2^3) + t^7.327/(g1^15*g2) + (3*g1^21*t^7.356)/g2^5 + (g1^11*t^7.402)/g2^3 + (g1*t^7.447)/g2 + (g2^3*t^7.538)/g1^19 + (3*g1^17*t^7.567)/g2 + (g2^5*t^7.584)/g1^29 - g1^7*g2*t^7.613 + (g2^7*t^7.63)/g1^39 + (g2^3*t^7.658)/g1^3 + (g2^7*t^7.75)/g1^23 + 3*g1^13*g2^3*t^7.778 - (g2^9*t^7.795)/g1^33 + (g2^11*t^7.841)/g1^43 + (g2^7*t^7.869)/g1^7 + (g1^48*t^7.914)/g2^24 - (g2^9*t^7.915)/g1^17 + (g2^11*t^7.961)/g1^27 + 2*g1^9*g2^7*t^7.989 - (g2^9*t^8.035)/g1 + (g2^11*t^8.08)/g1^11 + (g1^44*t^8.125)/g2^20 + (2*g1^34*t^8.17)/g2^18 + g1^5*g2^11*t^8.2 + (g1^40*t^8.336)/g2^16 + (2*g1^30*t^8.381)/g2^14 + (g1^10*t^8.472)/g2^10 + (g1^36*t^8.547)/g2^12 + (3*g1^26*t^8.592)/g2^10 - (3*g1^16*t^8.638)/g2^8 + (2*g1^6*t^8.683)/g2^6 + (g1^32*t^8.758)/g2^8 + t^8.775/(g1^14*g2^2) + (3*g1^22*t^8.803)/g2^6 - (5*g1^12*t^8.849)/g2^4 - (2*t^8.94)/g1^8 + (g1^28*t^8.969)/g2^4 + (g2^2*t^8.986)/g1^18 - (g1*t^4.447)/(g2*y) - (g1^17*t^7.085)/(g2^9*y) - (g1^3*t^7.342)/(g2^3*y) + (g2*t^7.553)/(g1*y) + (g2^7*t^7.809)/(g1^15*y) + (g1^28*t^8.487)/(g2^12*y) + (g1^18*t^8.532)/(g2^10*y) + (g1^8*t^8.578)/(g2^8*y) + (g1^24*t^8.698)/(g2^8*y) + (g1^14*t^8.743)/(g2^6*y) + (2*g1^4*t^8.789)/(g2^4*y) + t^8.835/(g1^6*g2^2*y) + (2*g1^20*t^8.909)/(g2^4*y) + (g1^10*t^8.954)/(g2^2*y) - (g1*t^4.447*y)/g2 - (g1^17*t^7.085*y)/g2^9 - (g1^3*t^7.342*y)/g2^3 + (g2*t^7.553*y)/g1 + (g2^7*t^7.809*y)/g1^15 + (g1^28*t^8.487*y)/g2^12 + (g1^18*t^8.532*y)/g2^10 + (g1^8*t^8.578*y)/g2^8 + (g1^24*t^8.698*y)/g2^8 + (g1^14*t^8.743*y)/g2^6 + (2*g1^4*t^8.789*y)/g2^4 + (t^8.835*y)/(g1^6*g2^2) + (2*g1^20*t^8.909*y)/g2^4 + (g1^10*t^8.954*y)/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 |
---|---|---|---|---|---|---|---|---|
48187 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[1.0469, 1.0376, 0.9531, 0.878, 0.9624, 0.9531], q:[0.439, 0.5141], qb:[0.5235, 0.6079], phi:[0.4789]] | t^2.634 + 2*t^2.859 + t^2.873 + t^2.887 + t^3.113 + t^3.394 + t^4.071 + t^4.296 + t^4.324 + t^4.521 + t^4.549 + 2*t^4.577 + t^4.803 + t^4.831 + t^5.084 + t^5.268 + t^5.493 + t^5.507 + t^5.521 + 2*t^5.719 + 2*t^5.733 + 2*t^5.747 + t^5.761 + t^5.972 + t^5.986 - 3*t^6. - t^4.437/y - t^4.437*y | detail | |
47052 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ | 0.708 | 0.8721 | 0.8119 | [M:[1.0068, 1.0721, 0.9932, 0.8491, 0.9279, 0.9279], q:[0.4245, 0.5687], qb:[0.5034, 0.5822], phi:[0.4803]] | t^2.547 + 2*t^2.784 + t^2.882 + t^2.98 + t^3.02 + t^3.257 + t^3.988 + t^4.225 + t^4.421 + 2*t^4.461 + t^4.657 + t^4.698 + t^4.853 + t^4.894 + t^4.934 + t^5.095 + 2*t^5.331 + t^5.429 + 3*t^5.568 + 2*t^5.666 + t^5.764 + 2*t^5.804 + t^5.861 + t^5.902 - 3*t^6. - t^4.441/y - t^4.441*y | detail | |
46897 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6916 | 0.8474 | 0.8161 | [M:[1.0103, 0.9938, 0.9897, 1.0021, 1.0062], q:[0.501, 0.4887], qb:[0.5051, 0.5092], phi:[0.499]] | t^2.969 + t^2.982 + t^2.994 + t^3.006 + t^3.018 + t^3.031 + t^3.043 + t^4.429 + t^4.466 + t^4.478 + t^4.491 + t^4.503 + t^4.515 + 2*t^4.528 + t^4.54 + t^4.552 + t^5.963 + t^5.975 + t^5.988 - t^6. - t^4.497/y - t^4.497*y | detail | |
48229 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ | 0.6987 | 0.854 | 0.8182 | [M:[1.0329, 1.0279, 0.9671, 0.9112, 0.9721, 1.0279], q:[0.4556, 0.5115], qb:[0.5165, 0.5773], phi:[0.4848]] | t^2.734 + t^2.901 + t^2.909 + 2*t^3.084 + t^3.099 + t^3.281 + t^4.188 + t^4.356 + t^4.371 + t^4.523 + t^4.538 + 2*t^4.553 + t^4.721 + t^4.736 + t^4.918 + t^5.467 + t^5.642 + t^5.81 + t^5.817 + t^5.985 + 2*t^5.993 - 3*t^6. - t^4.454/y - t^4.454*y | detail | |
46836 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6993 | 0.8557 | 0.8173 | [M:[1.0132, 1.0457, 0.9868, 0.8954, 0.9543, 1.0294], q:[0.4477, 0.5391], qb:[0.5066, 0.5655], phi:[0.4853]] | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. - t^4.456/y - t^4.456*y | detail | |
48254 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6544 | 0.8218 | 0.7964 | [M:[0.872, 1.1943, 1.128, 0.7395, 0.8057], q:[0.3698, 0.7583], qb:[0.436, 0.5022], phi:[0.4834]] | t^2.219 + t^2.417 + t^2.616 + t^2.814 + t^2.901 + t^3.384 + t^3.583 + t^3.669 + t^3.868 + 2*t^4.066 + t^4.265 + t^4.437 + t^4.463 + t^4.636 + 2*t^4.834 + 2*t^5.033 + t^5.119 + 2*t^5.232 + t^5.318 + t^5.43 + t^5.517 + t^5.629 + t^5.715 + t^5.801 + t^5.888 - t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
46128 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail |