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 |
---|---|---|---|---|---|---|---|---|---|
938 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6916 | 0.8474 | 0.8161 | [M:[1.0021, 0.9938, 1.0062, 0.9896, 1.0104], q:[0.501, 0.4969], qb:[0.4927, 0.5135], phi:[0.499]] | [M:[[2], [-6], [6], [-10], [10]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.969 + t^2.981 + t^2.994 + t^3.006 + t^3.019 + t^3.031 + t^3.044 + t^4.453 + t^4.466 + 2*t^4.478 + t^4.491 + t^4.503 + t^4.516 + t^4.528 + t^4.54 + t^4.578 + t^5.963 + t^5.975 + t^5.988 - t^6. + t^6.012 + 2*t^6.025 + 2*t^6.037 + t^6.05 + t^6.062 + t^6.075 + t^6.087 + t^7.422 + t^7.435 + 2*t^7.447 + 2*t^7.46 + 3*t^7.472 + 2*t^7.484 + 2*t^7.497 + 2*t^7.509 + 3*t^7.522 + 2*t^7.534 + 2*t^7.547 + 2*t^7.559 + 2*t^7.572 + t^7.584 + t^7.596 + t^7.609 + t^7.621 + t^8.907 + t^8.919 + 2*t^8.932 + t^8.944 + 2*t^8.956 - t^8.981 - t^8.994 - t^4.497/y + t^8.95/y + t^8.963/y + (2*t^8.975)/y + (2*t^8.988)/y - t^4.497*y + t^8.95*y + t^8.963*y + 2*t^8.975*y + 2*t^8.988*y | t^2.969/g1^10 + t^2.981/g1^6 + t^2.994/g1^2 + g1^2*t^3.006 + g1^6*t^3.019 + g1^10*t^3.031 + g1^14*t^3.044 + t^4.453/g1^15 + t^4.466/g1^11 + (2*t^4.478)/g1^7 + t^4.491/g1^3 + g1*t^4.503 + g1^5*t^4.516 + g1^9*t^4.528 + g1^13*t^4.54 + g1^25*t^4.578 + t^5.963/g1^12 + t^5.975/g1^8 + t^5.988/g1^4 - t^6. + g1^4*t^6.012 + 2*g1^8*t^6.025 + 2*g1^12*t^6.037 + g1^16*t^6.05 + g1^20*t^6.062 + g1^24*t^6.075 + g1^28*t^6.087 + t^7.422/g1^25 + t^7.435/g1^21 + (2*t^7.447)/g1^17 + (2*t^7.46)/g1^13 + (3*t^7.472)/g1^9 + (2*t^7.484)/g1^5 + (2*t^7.497)/g1 + 2*g1^3*t^7.509 + 3*g1^7*t^7.522 + 2*g1^11*t^7.534 + 2*g1^15*t^7.547 + 2*g1^19*t^7.559 + 2*g1^23*t^7.572 + g1^27*t^7.584 + g1^31*t^7.596 + g1^35*t^7.609 + g1^39*t^7.621 + t^8.907/g1^30 + t^8.919/g1^26 + (2*t^8.932)/g1^22 + t^8.944/g1^18 + (2*t^8.956)/g1^14 - t^8.981/g1^6 - t^8.994/g1^2 - t^4.497/(g1*y) + t^8.95/(g1^16*y) + t^8.963/(g1^12*y) + (2*t^8.975)/(g1^8*y) + (2*t^8.988)/(g1^4*y) - (t^4.497*y)/g1 + (t^8.95*y)/g1^16 + (t^8.963*y)/g1^12 + (2*t^8.975*y)/g1^8 + (2*t^8.988*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
1444 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6919 | 0.8476 | 0.8162 | [M:[1.0031, 0.9908, 1.0092, 0.9847, 1.0153, 0.9969], q:[0.5015, 0.4954], qb:[0.4893, 0.5199], phi:[0.4985]] | t^2.954 + t^2.972 + 2*t^2.991 + t^3.028 + t^3.046 + t^3.064 + t^4.431 + t^4.449 + 2*t^4.468 + t^4.486 + t^4.505 + t^4.523 + t^4.541 + t^4.56 + t^4.615 + 2*t^5.945 + t^5.963 + 2*t^5.982 - 2*t^6. - t^4.495/y - t^4.495*y | detail | |
1441 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6914 | 0.848 | 0.8153 | [M:[0.9992, 1.0025, 0.9975, 1.0042, 0.9958, 0.9975], q:[0.4996, 0.5013], qb:[0.503, 0.4945], phi:[0.5004]] | t^2.982 + t^2.987 + 2*t^2.992 + t^2.997 + t^3.003 + t^3.013 + t^4.468 + t^4.484 + t^4.489 + t^4.494 + t^4.499 + t^4.504 + 2*t^4.509 + t^4.514 + t^4.519 + t^5.965 + t^5.97 + 2*t^5.975 + 2*t^5.98 + 4*t^5.985 + 2*t^5.99 + t^5.995 - 2*t^6. - t^4.501/y - t^4.501*y | detail | |
1446 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6926 | 0.8487 | 0.8161 | [M:[1.0051, 0.9848, 1.0152, 0.9747, 1.0253, 0.9848], q:[0.5025, 0.4924], qb:[0.4823, 0.5329], phi:[0.4975]] | t^2.924 + 2*t^2.954 + t^2.985 + t^3.015 + t^3.076 + t^3.106 + t^4.386 + t^4.417 + 2*t^4.447 + t^4.477 + t^4.508 + t^4.538 + t^4.568 + t^4.599 + t^4.69 + t^5.879 + 3*t^5.909 + 2*t^5.939 + t^5.97 - 2*t^6. - t^4.492/y - t^4.492*y | detail | |
1445 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6918 | 0.8495 | 0.8143 | [M:[0.9973, 1.0082, 0.9918, 1.0137, 0.9863, 0.9863], q:[0.4986, 0.5041], qb:[0.5096, 0.4822], phi:[0.5014]] | t^2.942 + 2*t^2.959 + t^2.975 + t^2.992 + t^3.008 + t^3.025 + t^4.397 + t^4.446 + t^4.463 + t^4.479 + t^4.496 + t^4.512 + 2*t^4.529 + t^4.545 + t^4.562 + t^5.885 + 2*t^5.901 + 3*t^5.918 + 2*t^5.934 + 3*t^5.951 + 3*t^5.967 + t^5.984 - 2*t^6. - t^4.504/y - t^4.504*y | detail | |
1447 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.6937 | 0.8507 | 0.8155 | [M:[1.007, 0.9789, 1.0211, 0.9648, 1.0352, 0.9648], q:[0.5035, 0.4894], qb:[0.4754, 0.5458], phi:[0.4965]] | 2*t^2.894 + t^2.937 + t^2.979 + t^3.021 + t^3.063 + t^3.148 + t^4.342 + t^4.384 + 2*t^4.426 + t^4.468 + t^4.511 + t^4.553 + t^4.595 + t^4.637 + t^4.764 + 2*t^5.789 + t^5.831 + 2*t^5.873 + 2*t^5.915 + 2*t^5.958 - 2*t^6. - t^4.489/y - t^4.489*y | detail | |
1442 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6915 | 0.8474 | 0.816 | [M:[1.0011, 0.9967, 1.0033, 0.9945, 1.0055, 1.0011], q:[0.5005, 0.4984], qb:[0.4962, 0.5071], phi:[0.4995]] | t^2.984 + t^2.99 + 2*t^3.003 + t^3.01 + t^3.016 + t^3.023 + t^4.475 + t^4.482 + 2*t^4.489 + t^4.495 + t^4.502 + t^4.508 + t^4.515 + t^4.521 + t^4.541 + t^5.987 + t^5.993 - 2*t^6. - t^4.498/y - t^4.498*y | detail | |
1443 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6952 | 0.8534 | 0.8146 | [M:[1.0089, 0.9733, 1.0267, 0.9554, 1.0446, 0.9376], q:[0.5045, 0.4866], qb:[0.4688, 0.5579], phi:[0.4955]] | t^2.813 + t^2.866 + t^2.92 + t^2.973 + t^3.027 + t^3.08 + t^3.134 + t^4.299 + t^4.353 + 2*t^4.406 + t^4.46 + t^4.513 + t^4.567 + t^4.62 + t^4.674 + t^4.834 + t^5.626 + t^5.679 + t^5.733 + t^5.786 + 2*t^5.84 + 2*t^5.893 + 2*t^5.947 - t^6. - t^4.487/y - t^4.487*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 |
---|---|---|---|---|---|---|---|---|---|
596 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ | 0.7026 | 0.8611 | 0.8159 | [M:[0.8739, 1.054, 0.946, 0.9819, 1.0181], q:[0.5991, 0.527], qb:[0.4549, 0.4911], phi:[0.482]] | t^2.622 + t^2.838 + t^2.892 + t^2.946 + t^3.054 + t^3.162 + t^3.271 + t^4.175 + t^4.284 + t^4.391 + t^4.393 + t^4.5 + 2*t^4.608 + t^4.717 + t^4.824 + t^5.041 + t^5.243 + t^5.46 + t^5.513 + t^5.676 + t^5.73 + t^5.784 + t^5.837 + t^5.892 + t^5.946 - 2*t^6. - t^4.446/y - t^4.446*y | detail |