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 |
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46807 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.6892 | 0.8587 | 0.8026 | [M:[1.0848, 0.7456, 0.7456, 1.0848, 0.9152], q:[0.4832, 0.432], qb:[0.7712, 0.4832], phi:[0.4576]] | [M:[[4], [-12], [-12], [4], [-4]], q:[[11], [-15]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}^{2}$ | -3 | 2*t^2.237 + 2*t^2.746 + t^2.899 + t^3.254 + t^3.61 + t^3.965 + 2*t^4.118 + 3*t^4.272 + 3*t^4.474 + 4*t^4.982 + 2*t^5.136 + 5*t^5.491 + 2*t^5.645 + t^5.798 - 3*t^6. - t^6.154 + 2*t^6.202 + 5*t^6.355 + 5*t^6.509 + 6*t^6.71 + 3*t^6.864 + 5*t^7.018 + 3*t^7.171 + 5*t^7.219 - t^7.373 - 2*t^7.526 + t^7.575 + 9*t^7.728 + 3*t^7.882 + t^7.93 + t^8.083 + 3*t^8.39 + 3*t^8.439 + 7*t^8.544 + 4*t^8.592 + t^8.697 - 2*t^8.746 - 7*t^8.899 + 9*t^8.947 - t^4.373/y - (2*t^6.61)/y + t^7.474/y + (4*t^7.982)/y + (4*t^8.136)/y + (3*t^8.491)/y + (2*t^8.645)/y - t^8.846/y - t^4.373*y - 2*t^6.61*y + t^7.474*y + 4*t^7.982*y + 4*t^8.136*y + 3*t^8.491*y + 2*t^8.645*y - t^8.846*y | (2*t^2.237)/g1^12 + (2*t^2.746)/g1^4 + g1^22*t^2.899 + g1^4*t^3.254 + t^3.61/g1^14 + t^3.965/g1^32 + (2*t^4.118)/g1^6 + 3*g1^20*t^4.272 + (3*t^4.474)/g1^24 + (4*t^4.982)/g1^16 + 2*g1^10*t^5.136 + (5*t^5.491)/g1^8 + 2*g1^18*t^5.645 + g1^44*t^5.798 - 3*t^6. - g1^26*t^6.154 + (2*t^6.202)/g1^44 + (5*t^6.355)/g1^18 + 5*g1^8*t^6.509 + (6*t^6.71)/g1^36 + (3*t^6.864)/g1^10 + 5*g1^16*t^7.018 + 3*g1^42*t^7.171 + (5*t^7.219)/g1^28 - t^7.373/g1^2 - 2*g1^24*t^7.526 + t^7.575/g1^46 + (9*t^7.728)/g1^20 + 3*g1^6*t^7.882 + t^7.93/g1^64 + t^8.083/g1^38 + 3*g1^14*t^8.39 + (3*t^8.439)/g1^56 + 7*g1^40*t^8.544 + (4*t^8.592)/g1^30 + g1^66*t^8.697 - (2*t^8.746)/g1^4 - 7*g1^22*t^8.899 + (9*t^8.947)/g1^48 - t^4.373/(g1^2*y) - (2*t^6.61)/(g1^14*y) + t^7.474/(g1^24*y) + (4*t^7.982)/(g1^16*y) + (4*g1^10*t^8.136)/y + (3*t^8.491)/(g1^8*y) + (2*g1^18*t^8.645)/y - t^8.846/(g1^26*y) - (t^4.373*y)/g1^2 - (2*t^6.61*y)/g1^14 + (t^7.474*y)/g1^24 + (4*t^7.982*y)/g1^16 + 4*g1^10*t^8.136*y + (3*t^8.491*y)/g1^8 + 2*g1^18*t^8.645*y - (t^8.846*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
55277 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{6}$ | 0.697 | 0.8721 | 0.7992 | [M:[1.0862, 0.7414, 0.7414, 1.0862, 0.9138, 0.9138], q:[0.4871, 0.4267], qb:[0.7716, 0.4871], phi:[0.4569]] | 2*t^2.224 + 3*t^2.741 + t^2.923 + t^3.595 + t^3.931 + 2*t^4.112 + 3*t^4.293 + 3*t^4.448 + 6*t^4.965 + 2*t^5.147 + 6*t^5.483 + 3*t^5.664 + t^5.845 - 5*t^6. - t^4.371/y - t^4.371*y | detail | |
55306 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.71 | 0.8998 | 0.7891 | [M:[1.0843, 0.7472, 0.7472, 1.0843, 0.9157, 0.6741], q:[0.4817, 0.434], qb:[0.7711, 0.4817], phi:[0.4579]] | t^2.022 + 2*t^2.242 + 2*t^2.747 + t^2.89 + t^3.253 + t^3.615 + t^4.045 + 2*t^4.121 + 5*t^4.264 + 3*t^4.483 + 2*t^4.769 + t^4.913 + 4*t^4.989 + 2*t^5.132 + t^5.275 + 5*t^5.494 + 3*t^5.638 + t^5.781 - 3*t^6. - t^4.374/y - t^4.374*y | detail | |
55079 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6815 | 0.8455 | 0.806 | [M:[1.0834, 0.7499, 0.7499, 1.0834, 0.9166, 1.0834], q:[0.4793, 0.4374], qb:[0.7708, 0.4793], phi:[0.4583]] | 2*t^2.25 + t^2.75 + t^2.876 + 2*t^3.25 + t^3.625 + t^3.999 + 2*t^4.125 + 3*t^4.251 + 3*t^4.499 + 2*t^5. + 2*t^5.125 + 5*t^5.5 + t^5.625 + t^5.751 - 3*t^6. - t^4.375/y - t^4.375*y | detail | |
55420 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6882 | 0.8597 | 0.8005 | [M:[1.0931, 0.7208, 0.7208, 1.0931, 0.9069, 0.9881], q:[0.506, 0.401], qb:[0.7733, 0.506], phi:[0.4535]] | 2*t^2.162 + 2*t^2.721 + t^2.964 + t^3.279 + t^3.523 + t^3.766 + 2*t^4.081 + 3*t^4.325 + 3*t^4.396 + 4*t^4.883 + 2*t^5.127 + 5*t^5.442 + 2*t^5.685 + 3*t^5.928 - 3*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
46626 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6977 | 0.8713 | 0.8008 | [M:[1.1105, 0.7877, 0.6686, 0.9913, 0.8895], q:[0.4346, 0.4549], qb:[0.7776, 0.5538], phi:[0.4448]] | t^2.006 + t^2.363 + 2*t^2.669 + t^2.965 + t^2.974 + t^3.698 + t^3.942 + t^4.003 + t^4.012 + t^4.064 + t^4.3 + t^4.36 + t^4.369 + t^4.657 + 2*t^4.674 + t^4.726 + t^4.971 + t^4.98 + 2*t^5.032 + t^5.329 + 4*t^5.337 + 2*t^5.634 + t^5.643 + t^5.931 + 2*t^5.948 - 3*t^6. - t^4.334/y - t^4.334*y | detail |