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 |
---|---|---|---|---|---|---|---|---|---|
46575 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.624 | 0.8116 | 0.7689 | [M:[0.7507, 0.7507, 1.0, 0.9995, 0.9995], q:[0.7499, 0.4995], qb:[0.4995, 0.2501], phi:[0.5003]] | [M:[[1, 9], [-1, 1], [0, 0], [0, -4], [0, -4]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -5 | 2*t^2.249 + 2*t^2.252 + t^2.997 + 2*t^2.998 + t^3. + 2*t^3.75 + 6*t^4.498 + 4*t^4.501 + 3*t^4.504 + 2*t^5.246 + 4*t^5.247 + 4*t^5.249 + 4*t^5.25 + t^5.994 + 2*t^5.995 + 3*t^5.997 + 5*t^5.998 - 5*t^6. + 3*t^6.002 + 10*t^6.746 + 10*t^6.75 - 2*t^6.751 + 4*t^6.753 + 4*t^6.756 + 6*t^7.494 + 9*t^7.496 + 6*t^7.498 + 6*t^7.499 - t^7.501 + 6*t^7.502 - t^7.504 + 2*t^8.242 + 4*t^8.244 + 6*t^8.246 + 14*t^8.247 - 8*t^8.249 + 4*t^8.25 - 12*t^8.252 + 4*t^8.254 + t^8.99 + 2*t^8.992 + 3*t^8.994 + 22*t^8.995 - 4*t^8.997 + 5*t^8.998 - t^4.501/y - (2*t^6.753)/y + t^7.498/y - t^7.499/y + (4*t^7.501)/y + t^7.502/y + t^7.504/y + (2*t^8.246)/y + (4*t^8.247)/y + (6*t^8.249)/y + (4*t^8.25)/y + (2*t^8.252)/y + (2*t^8.995)/y + (2*t^8.997)/y + (6*t^8.998)/y - t^4.501*y - 2*t^6.753*y + t^7.498*y - t^7.499*y + 4*t^7.501*y + t^7.502*y + t^7.504*y + 2*t^8.246*y + 4*t^8.247*y + 6*t^8.249*y + 4*t^8.25*y + 2*t^8.252*y + 2*t^8.995*y + 2*t^8.997*y + 6*t^8.998*y | t^2.249/(g1*g2^7) + g1*g2*t^2.249 + (g2*t^2.252)/g1 + g1*g2^9*t^2.252 + t^2.997/g2^8 + (2*t^2.998)/g2^4 + t^3. + t^3.75/(g1*g2^5) + g1*g2^3*t^3.75 + (2*t^4.498)/(g1^2*g2^14) + (2*t^4.498)/g2^6 + 2*g1^2*g2^2*t^4.498 + t^4.501/(g1^2*g2^6) + 2*g2^2*t^4.501 + g1^2*g2^10*t^4.501 + (g2^2*t^4.504)/g1^2 + g2^10*t^4.504 + g1^2*g2^18*t^4.504 + t^5.246/(g1*g2^15) + (g1*t^5.246)/g2^7 + (2*t^5.247)/(g1*g2^11) + (2*g1*t^5.247)/g2^3 + (2*t^5.249)/(g1*g2^7) + 2*g1*g2*t^5.249 + (2*t^5.25)/(g1*g2^3) + 2*g1*g2^5*t^5.25 + t^5.994/g2^16 + (2*t^5.995)/g2^12 + (3*t^5.997)/g2^8 + t^5.998/(g1^2*g2^12) + (3*t^5.998)/g2^4 + g1^2*g2^4*t^5.998 - 3*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + t^6.002/(g1^2*g2^4) + g2^4*t^6.002 + g1^2*g2^12*t^6.002 + (2*t^6.746)/(g1^3*g2^21) + (3*t^6.746)/(g1*g2^13) + (3*g1*t^6.746)/g2^5 + 2*g1^3*g2^3*t^6.746 + (2*t^6.75)/(g1^3*g2^13) + (3*t^6.75)/(g1*g2^5) + 3*g1*g2^3*t^6.75 + 2*g1^3*g2^11*t^6.75 - t^6.751/(g1*g2) - g1*g2^7*t^6.751 + t^6.753/(g1^3*g2^5) + (g2^3*t^6.753)/g1 + g1*g2^11*t^6.753 + g1^3*g2^19*t^6.753 + (g2^3*t^6.756)/g1^3 + (g2^11*t^6.756)/g1 + g1*g2^19*t^6.756 + g1^3*g2^27*t^6.756 + (2*t^7.494)/(g1^2*g2^22) + (2*t^7.494)/g2^14 + (2*g1^2*t^7.494)/g2^6 + (3*t^7.496)/(g1^2*g2^18) + (3*t^7.496)/g2^10 + (3*g1^2*t^7.496)/g2^2 + (2*t^7.498)/(g1^2*g2^14) + (2*t^7.498)/g2^6 + 2*g1^2*g2^2*t^7.498 + (2*t^7.499)/(g1^2*g2^10) + (2*t^7.499)/g2^2 + 2*g1^2*g2^6*t^7.499 - g2^2*t^7.501 + (2*t^7.502)/(g1^2*g2^2) + 2*g2^6*t^7.502 + 2*g1^2*g2^14*t^7.502 - g2^10*t^7.504 + t^8.242/(g1*g2^23) + (g1*t^8.242)/g2^15 + (2*t^8.244)/(g1*g2^19) + (2*g1*t^8.244)/g2^11 + (3*t^8.246)/(g1*g2^15) + (3*g1*t^8.246)/g2^7 + (2*t^8.247)/(g1^3*g2^19) + (5*t^8.247)/(g1*g2^11) + (5*g1*t^8.247)/g2^3 + 2*g1^3*g2^5*t^8.247 - t^8.249/(g1^3*g2^15) - (3*t^8.249)/(g1*g2^7) - 3*g1*g2*t^8.249 - g1^3*g2^9*t^8.249 + t^8.25/(g1^3*g2^11) + t^8.25/(g1*g2^3) + g1*g2^5*t^8.25 + g1^3*g2^13*t^8.25 - t^8.252/(g1^3*g2^7) - (5*g2*t^8.252)/g1 - 5*g1*g2^9*t^8.252 - g1^3*g2^17*t^8.252 + t^8.254/(g1^3*g2^3) + (g2^5*t^8.254)/g1 + g1*g2^13*t^8.254 + g1^3*g2^21*t^8.254 + t^8.99/g2^24 + (2*t^8.992)/g2^20 + (3*t^8.994)/g2^16 + (3*t^8.995)/(g1^4*g2^28) + (4*t^8.995)/(g1^2*g2^20) + (8*t^8.995)/g2^12 + (4*g1^2*t^8.995)/g2^4 + 3*g1^4*g2^4*t^8.995 - g1^2*t^8.997 - t^8.997/(g1^2*g2^16) - (2*t^8.997)/g2^8 + (2*t^8.998)/(g1^4*g2^20) + (2*t^8.998)/(g1^2*g2^12) - (3*t^8.998)/g2^4 + 2*g1^2*g2^4*t^8.998 + 2*g1^4*g2^12*t^8.998 - (g2^2*t^4.501)/y - (g2^3*t^6.753)/(g1*y) - (g1*g2^11*t^6.753)/y + t^7.498/(g2^6*y) - t^7.499/(g2^2*y) + t^7.501/(g1^2*g2^6*y) + (2*g2^2*t^7.501)/y + (g1^2*g2^10*t^7.501)/y + (g2^6*t^7.502)/y + (g2^10*t^7.504)/y + t^8.246/(g1*g2^15*y) + (g1*t^8.246)/(g2^7*y) + (2*t^8.247)/(g1*g2^11*y) + (2*g1*t^8.247)/(g2^3*y) + (3*t^8.249)/(g1*g2^7*y) + (3*g1*g2*t^8.249)/y + (2*t^8.25)/(g1*g2^3*y) + (2*g1*g2^5*t^8.25)/y + (g2*t^8.252)/(g1*y) + (g1*g2^9*t^8.252)/y + (2*t^8.995)/(g2^12*y) + (2*t^8.997)/(g2^8*y) + t^8.998/(g1^2*g2^12*y) + (4*t^8.998)/(g2^4*y) + (g1^2*g2^4*t^8.998)/y - g2^2*t^4.501*y - (g2^3*t^6.753*y)/g1 - g1*g2^11*t^6.753*y + (t^7.498*y)/g2^6 - (t^7.499*y)/g2^2 + (t^7.501*y)/(g1^2*g2^6) + 2*g2^2*t^7.501*y + g1^2*g2^10*t^7.501*y + g2^6*t^7.502*y + g2^10*t^7.504*y + (t^8.246*y)/(g1*g2^15) + (g1*t^8.246*y)/g2^7 + (2*t^8.247*y)/(g1*g2^11) + (2*g1*t^8.247*y)/g2^3 + (3*t^8.249*y)/(g1*g2^7) + 3*g1*g2*t^8.249*y + (2*t^8.25*y)/(g1*g2^3) + 2*g1*g2^5*t^8.25*y + (g2*t^8.252*y)/g1 + g1*g2^9*t^8.252*y + (2*t^8.995*y)/g2^12 + (2*t^8.997*y)/g2^8 + (t^8.998*y)/(g1^2*g2^12) + (4*t^8.998*y)/g2^4 + g1^2*g2^4*t^8.998*y |
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 |
---|---|---|---|---|---|---|---|---|
46926 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6433 | 0.8468 | 0.7596 | [M:[0.7397, 0.7573, 1.0, 1.0012, 1.0012, 0.7409], q:[0.7503, 0.51], qb:[0.4924, 0.2497], phi:[0.4994]] | t^2.219 + t^2.223 + t^2.226 + t^2.272 + t^2.279 + t^3. + 2*t^3.003 + t^3.007 + t^3.724 + t^4.438 + t^4.442 + 2*t^4.445 + t^4.449 + 2*t^4.452 + t^4.491 + t^4.495 + 2*t^4.498 + t^4.502 + 2*t^4.505 + t^4.544 + t^4.551 + 2*t^4.558 + 3*t^5.223 + 4*t^5.226 + 3*t^5.23 + t^5.233 + 2*t^5.276 + 2*t^5.279 + 2*t^5.283 + t^5.286 + t^5.944 + t^5.951 - 3*t^6. - t^4.498/y - t^4.498*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 |
---|---|---|---|---|---|---|---|---|---|
46254 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6248 | 0.8112 | 0.7701 | [M:[0.7295, 0.7295, 1.0, 1.0164], q:[0.7541, 0.5164], qb:[0.5164, 0.2459], phi:[0.4918]] | 2*t^2.188 + 2*t^2.287 + t^2.951 + t^3. + t^3.049 + t^3.099 + 2*t^3.762 + 3*t^4.377 + 4*t^4.475 + 6*t^4.574 + 2*t^5.139 + 4*t^5.238 + 4*t^5.287 + 2*t^5.336 + 2*t^5.386 + t^5.901 + 4*t^5.951 - 4*t^6. - t^4.475/y - t^4.475*y | detail |