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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858 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6146 | 0.8118 | 0.7571 | [M:[0.9224, 1.2329, 0.9224, 0.7671, 0.6941], q:[0.7306, 0.347], qb:[0.347, 0.4201], phi:[0.5388]] | [M:[[4], [-12], [4], [12], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$ | ${}M_{2}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 3 | 2*t^2.082 + 2*t^2.301 + 2*t^2.767 + t^3.233 + t^3.452 + 3*t^3.699 + t^3.918 + t^4.137 + 3*t^4.164 + 4*t^4.384 + 3*t^4.603 + 4*t^4.849 + 4*t^5.068 + 2*t^5.315 + 6*t^5.534 + 2*t^5.753 + 4*t^5.781 + 3*t^6. + 3*t^6.219 + 4*t^6.247 + 2*t^6.438 + 8*t^6.466 + 6*t^6.685 + 6*t^6.904 + 6*t^6.932 + 6*t^7.151 + 6*t^7.37 + 6*t^7.397 + t^7.589 + 6*t^7.616 + 9*t^7.836 + 5*t^7.863 + 4*t^8.055 + t^8.082 + t^8.274 + 6*t^8.301 + 5*t^8.329 + 5*t^8.52 + 8*t^8.548 + 3*t^8.74 + 3*t^8.767 + 9*t^8.986 - t^4.616/y - t^6.699/y + t^7.164/y + (3*t^7.384)/y + t^7.603/y + (5*t^7.849)/y + (4*t^8.068)/y + (2*t^8.315)/y + (6*t^8.534)/y + (2*t^8.753)/y + (5*t^8.781)/y - t^4.616*y - t^6.699*y + t^7.164*y + 3*t^7.384*y + t^7.603*y + 5*t^7.849*y + 4*t^8.068*y + 2*t^8.315*y + 6*t^8.534*y + 2*t^8.753*y + 5*t^8.781*y | (2*t^2.082)/g1^10 + 2*g1^12*t^2.301 + 2*g1^4*t^2.767 + t^3.233/g1^4 + g1^18*t^3.452 + (3*t^3.699)/g1^12 + g1^10*t^3.918 + g1^32*t^4.137 + (3*t^4.164)/g1^20 + 4*g1^2*t^4.384 + 3*g1^24*t^4.603 + (4*t^4.849)/g1^6 + 4*g1^16*t^5.068 + (2*t^5.315)/g1^14 + 6*g1^8*t^5.534 + 2*g1^30*t^5.753 + (4*t^5.781)/g1^22 + 3*t^6. + 3*g1^22*t^6.219 + (4*t^6.247)/g1^30 + 2*g1^44*t^6.438 + (8*t^6.466)/g1^8 + 6*g1^14*t^6.685 + 6*g1^36*t^6.904 + (6*t^6.932)/g1^16 + 6*g1^6*t^7.151 + 6*g1^28*t^7.37 + (6*t^7.397)/g1^24 + g1^50*t^7.589 + (6*t^7.616)/g1^2 + 9*g1^20*t^7.836 + (5*t^7.863)/g1^32 + 4*g1^42*t^8.055 + t^8.082/g1^10 + g1^64*t^8.274 + 6*g1^12*t^8.301 + (5*t^8.329)/g1^40 + 5*g1^34*t^8.52 + (8*t^8.548)/g1^18 + 3*g1^56*t^8.74 + 3*g1^4*t^8.767 + 9*g1^26*t^8.986 - t^4.616/(g1^2*y) - t^6.699/(g1^12*y) + t^7.164/(g1^20*y) + (3*g1^2*t^7.384)/y + (g1^24*t^7.603)/y + (5*t^7.849)/(g1^6*y) + (4*g1^16*t^8.068)/y + (2*t^8.315)/(g1^14*y) + (6*g1^8*t^8.534)/y + (2*g1^30*t^8.753)/y + (5*t^8.781)/(g1^22*y) - (t^4.616*y)/g1^2 - (t^6.699*y)/g1^12 + (t^7.164*y)/g1^20 + 3*g1^2*t^7.384*y + g1^24*t^7.603*y + (5*t^7.849*y)/g1^6 + 4*g1^16*t^8.068*y + (2*t^8.315*y)/g1^14 + 6*g1^8*t^8.534*y + 2*g1^30*t^8.753*y + (5*t^8.781*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
1352 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6352 | 0.8516 | 0.7459 | [M:[0.9231, 1.2307, 0.9231, 0.7693, 0.6922, 0.6922], q:[0.7308, 0.3461], qb:[0.3461, 0.4232], phi:[0.5384]] | 3*t^2.077 + 2*t^2.308 + 2*t^2.769 + t^3.231 + t^3.462 + 3*t^3.692 + 6*t^4.153 + t^4.155 + 6*t^4.385 + 3*t^4.616 + 6*t^4.846 + 4*t^5.077 + 3*t^5.307 + 7*t^5.539 + 7*t^5.769 + 2*t^5.77 + t^6. - t^4.615/y - t^4.615*y | detail | |
2035 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6218 | 0.8242 | 0.7544 | [M:[0.9205, 1.2386, 0.9205, 0.7614, 0.6988, 0.9205], q:[0.7301, 0.3494], qb:[0.3494, 0.412], phi:[0.5398]] | 2*t^2.096 + 2*t^2.284 + 3*t^2.761 + t^3.426 + 3*t^3.716 + t^3.904 + t^4.091 + 3*t^4.193 + 4*t^4.381 + 3*t^4.568 + 6*t^4.858 + 6*t^5.046 + 7*t^5.523 + 2*t^5.711 + 4*t^5.812 + t^6. - t^4.619/y - t^4.619*y | detail | |
2037 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6288 | 0.8365 | 0.7518 | [M:[0.9289, 1.2133, 0.9289, 0.7867, 0.6777, 0.8199], q:[0.7322, 0.3389], qb:[0.3389, 0.4479], phi:[0.5355]] | 2*t^2.033 + 2*t^2.36 + t^2.46 + 2*t^2.787 + t^3.213 + 3*t^3.64 + t^3.967 + 3*t^4.066 + t^4.294 + 4*t^4.393 + 2*t^4.493 + 3*t^4.72 + 6*t^4.82 + t^4.919 + 4*t^5.147 + 4*t^5.246 + 4*t^5.573 + 5*t^5.673 + 3*t^6. - t^4.607/y - t^4.607*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 |
---|---|---|---|---|---|---|---|---|---|
546 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.594 | 0.7723 | 0.7691 | [M:[0.9215, 1.2355, 0.9215, 0.7645], q:[0.7304, 0.3481], qb:[0.3481, 0.4164], phi:[0.5392]] | t^2.089 + 2*t^2.294 + 2*t^2.765 + t^3.235 + t^3.44 + 3*t^3.706 + 2*t^3.911 + t^4.116 + t^4.177 + 2*t^4.382 + 3*t^4.587 + 2*t^4.853 + 4*t^5.058 + t^5.324 + 5*t^5.529 + 2*t^5.734 + t^5.795 + 3*t^6. - t^4.618/y - t^4.618*y | detail |