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 |
---|---|---|---|---|---|---|---|---|---|
46666 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.7163 | 0.8881 | 0.8066 | [M:[0.9996, 0.7481, 1.0004, 0.9212, 0.6689], q:[0.4606, 0.5398], qb:[0.7913, 0.539], phi:[0.4173]] | [M:[[-7, 1], [6, 0], [7, -1], [-14, 0], [-15, 1]], q:[[-7, 0], [14, -1]], qb:[[1, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.007 + t^2.244 + t^2.504 + t^2.764 + t^2.999 + t^3.001 + t^3.991 + t^4.013 + t^4.016 + 2*t^4.251 + t^4.253 + t^4.486 + 2*t^4.488 + t^4.491 + t^4.51 + t^4.748 + t^4.77 + t^5.005 + 3*t^5.008 + t^5.243 + t^5.245 + t^5.267 + t^5.503 + t^5.505 + t^5.527 + t^5.998 - 2*t^6. + t^6.02 + t^6.022 - t^6.238 + 2*t^6.257 + t^6.26 + t^6.493 + 3*t^6.495 + t^6.497 + t^6.517 + t^6.519 + t^6.73 + 2*t^6.733 + t^6.735 + 2*t^6.755 + t^6.777 + t^6.779 + 2*t^6.99 + t^6.992 + t^6.995 + t^7.012 + 4*t^7.014 + t^7.017 + 2*t^7.25 + 3*t^7.252 + t^7.254 + t^7.274 + t^7.485 + t^7.487 + t^7.49 + t^7.492 + t^7.509 + 2*t^7.512 + t^7.534 + 2*t^7.771 - t^7.984 - t^7.987 + t^8.004 - t^8.007 + t^8.026 + t^8.029 + 2*t^8.031 - 4*t^8.244 - t^8.247 + 2*t^8.264 + 2*t^8.266 + t^8.269 + t^8.291 + t^8.477 - t^8.482 + t^8.499 + 4*t^8.502 - t^8.504 + t^8.506 + t^8.524 + t^8.526 + 2*t^8.737 + 2*t^8.739 + t^8.744 + 2*t^8.761 - 3*t^8.764 + t^8.783 + t^8.786 + t^8.972 + 2*t^8.974 + 3*t^8.977 + 2*t^8.979 + t^8.981 + 2*t^8.996 - t^8.999 - t^4.252/y - t^6.259/y - t^6.496/y - t^6.756/y - t^7.016/y + t^7.251/y + t^7.488/y + t^7.51/y + (2*t^7.748)/y + t^7.77/y + t^8.005/y + (3*t^8.008)/y + t^8.243/y + (2*t^8.245)/y - t^8.265/y + t^8.267/y + t^8.505/y - t^8.74/y + t^8.765/y + t^8.998/y - t^4.252*y - t^6.259*y - t^6.496*y - t^6.756*y - t^7.016*y + t^7.251*y + t^7.488*y + t^7.51*y + 2*t^7.748*y + t^7.77*y + t^8.005*y + 3*t^8.008*y + t^8.243*y + 2*t^8.245*y - t^8.265*y + t^8.267*y + t^8.505*y - t^8.74*y + t^8.765*y + t^8.998*y | (g2*t^2.007)/g1^15 + g1^6*t^2.244 + t^2.504/g1^4 + t^2.764/g1^14 + (g2*t^2.999)/g1^7 + (g1^7*t^3.001)/g2 + g1*g2*t^3.991 + (g2^2*t^4.013)/g1^30 + t^4.016/g1^16 + (2*g2*t^4.251)/g1^9 + (g1^5*t^4.253)/g2 + (g2^2*t^4.486)/g1^2 + 2*g1^12*t^4.488 + (g1^26*t^4.491)/g2^2 + (g2*t^4.51)/g1^19 + g1^2*t^4.748 + (g2*t^4.77)/g1^29 + (g2^2*t^5.005)/g1^22 + (3*t^5.008)/g1^8 + (g2*t^5.243)/g1 + (g1^13*t^5.245)/g2 + t^5.267/g1^18 + (g2*t^5.503)/g1^11 + (g1^3*t^5.505)/g2 + t^5.527/g1^28 + (g2^2*t^5.998)/g1^14 - 2*t^6. + (g2^3*t^6.02)/g1^45 + (g2*t^6.022)/g1^31 - (g1^21*t^6.238)/g2 + (2*g2^2*t^6.257)/g1^24 + t^6.26/g1^10 + (g2^3*t^6.493)/g1^17 + (3*g2*t^6.495)/g1^3 + (g1^11*t^6.497)/g2 + (g2^2*t^6.517)/g1^34 + t^6.519/g1^20 + g1^4*g2^2*t^6.73 + 2*g1^18*t^6.733 + (g1^32*t^6.735)/g2^2 + (2*g2*t^6.755)/g1^13 + (g2^2*t^6.777)/g1^44 + t^6.779/g1^30 + (2*g2^2*t^6.99)/g1^6 + g1^8*t^6.992 + (g1^22*t^6.995)/g2^2 + (g2^3*t^7.012)/g1^37 + (4*g2*t^7.014)/g1^23 + t^7.017/(g1^9*g2) + (2*g2^2*t^7.25)/g1^16 + (3*t^7.252)/g1^2 + (g1^12*t^7.254)/g2^2 + (g2*t^7.274)/g1^33 + (g2^3*t^7.485)/g1^9 + g1^5*g2*t^7.487 + (g1^19*t^7.49)/g2 + (g1^33*t^7.492)/g2^3 + (g2^2*t^7.509)/g1^26 + (2*t^7.512)/g1^12 + (g2*t^7.534)/g1^43 + (2*t^7.771)/g1^22 - g1^16*t^7.984 - (g1^30*t^7.987)/g2^2 + (g2^3*t^8.004)/g1^29 - (g2*t^8.007)/g1^15 + (g2^4*t^8.026)/g1^60 + (g2^2*t^8.029)/g1^46 + (2*t^8.031)/g1^32 - 4*g1^6*t^8.244 - (g1^20*t^8.247)/g2^2 + (2*g2^3*t^8.264)/g1^39 + (2*g2*t^8.266)/g1^25 + t^8.269/(g1^11*g2) + t^8.291/g1^42 + (g2^3*t^8.477)/g1 - (g1^27*t^8.482)/g2 + (g2^4*t^8.499)/g1^32 + (4*g2^2*t^8.502)/g1^18 - t^8.504/g1^4 + (g1^10*t^8.506)/g2^2 + (g2^3*t^8.524)/g1^49 + (g2*t^8.526)/g1^35 + (2*g2^3*t^8.737)/g1^11 + 2*g1^3*g2*t^8.739 + (g1^31*t^8.744)/g2^3 + (2*g2^2*t^8.761)/g1^28 - (3*t^8.764)/g1^14 + (g2^3*t^8.783)/g1^59 + (g2*t^8.786)/g1^45 + (g2^4*t^8.972)/g1^4 + 2*g1^10*g2^2*t^8.974 + 3*g1^24*t^8.977 + (2*g1^38*t^8.979)/g2^2 + (g1^52*t^8.981)/g2^4 + (2*g2^3*t^8.996)/g1^21 - (g2*t^8.999)/g1^7 - t^4.252/(g1^2*y) - (g2*t^6.259)/(g1^17*y) - (g1^4*t^6.496)/y - t^6.756/(g1^6*y) - t^7.016/(g1^16*y) + (g2*t^7.251)/(g1^9*y) + (g1^12*t^7.488)/y + (g2*t^7.51)/(g1^19*y) + (2*g1^2*t^7.748)/y + (g2*t^7.77)/(g1^29*y) + (g2^2*t^8.005)/(g1^22*y) + (3*t^8.008)/(g1^8*y) + (g2*t^8.243)/(g1*y) + (2*g1^13*t^8.245)/(g2*y) - (g2^2*t^8.265)/(g1^32*y) + t^8.267/(g1^18*y) + (g1^3*t^8.505)/(g2*y) - (g1^10*t^8.74)/y + t^8.765/(g1^7*g2*y) + (g2^2*t^8.998)/(g1^14*y) - (t^4.252*y)/g1^2 - (g2*t^6.259*y)/g1^17 - g1^4*t^6.496*y - (t^6.756*y)/g1^6 - (t^7.016*y)/g1^16 + (g2*t^7.251*y)/g1^9 + g1^12*t^7.488*y + (g2*t^7.51*y)/g1^19 + 2*g1^2*t^7.748*y + (g2*t^7.77*y)/g1^29 + (g2^2*t^8.005*y)/g1^22 + (3*t^8.008*y)/g1^8 + (g2*t^8.243*y)/g1 + (2*g1^13*t^8.245*y)/g2 - (g2^2*t^8.265*y)/g1^32 + (t^8.267*y)/g1^18 + (g1^3*t^8.505*y)/g2 - g1^10*t^8.74*y + (t^8.765*y)/(g1^7*g2) + (g2^2*t^8.998*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|
47021 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}X_{1}$ | 0.6462 | 0.7871 | 0.821 | [X:[1.3527], M:[1.0402, 0.6473, 0.9598, 1.1562, 0.8438], q:[0.5781, 0.3817], qb:[0.7746, 0.4621], phi:[0.4509]] | t^2.531 + t^2.705 + t^2.879 + t^3.121 + t^3.469 + t^3.643 + t^3.71 + t^3.884 + t^4.058 + t^4.125 + t^4.232 + t^4.473 + t^4.821 + t^5.063 + t^5.237 + t^5.411 + t^5.585 + t^5.826 - t^6. - t^4.353/y - t^4.353*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 |