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 |
---|---|---|---|---|---|---|---|---|---|
1867 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6567 | 0.8256 | 0.7954 | [M:[0.7658, 0.8514, 0.6801, 1.1486, 0.7658], q:[0.7658, 0.4685], qb:[0.3829, 0.8514], phi:[0.3829]] | [M:[[-2], [3], [-7], [-3], [-2]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 1 | t^2.04 + 3*t^2.297 + t^2.554 + 2*t^3.446 + t^3.703 + t^3.96 + t^4.081 + 3*t^4.338 + 7*t^4.595 + 4*t^4.851 + t^5.108 + 2*t^5.486 + 5*t^5.743 + t^6. + t^6.121 + 2*t^6.257 + 3*t^6.378 + t^6.514 + 7*t^6.635 + 15*t^6.892 + 6*t^7.149 + 2*t^7.527 + 5*t^7.784 + t^7.919 + 7*t^8.04 + t^8.162 - 2*t^8.297 + 3*t^8.419 - 2*t^8.554 + 7*t^8.675 + t^8.811 + 15*t^8.932 - t^4.149/y - t^6.189/y - (3*t^6.446)/y + (3*t^7.338)/y + (4*t^7.595)/y + (6*t^7.851)/y + t^8.108/y - t^8.23/y - t^8.486/y + t^8.743/y - t^4.149*y - t^6.189*y - 3*t^6.446*y + 3*t^7.338*y + 4*t^7.595*y + 6*t^7.851*y + t^8.108*y - t^8.23*y - t^8.486*y + t^8.743*y | t^2.04/g1^7 + (3*t^2.297)/g1^2 + g1^3*t^2.554 + (2*t^3.446)/g1^3 + g1^2*t^3.703 + g1^7*t^3.96 + t^4.081/g1^14 + (3*t^4.338)/g1^9 + (7*t^4.595)/g1^4 + 4*g1*t^4.851 + g1^6*t^5.108 + (2*t^5.486)/g1^10 + (5*t^5.743)/g1^5 + t^6. + t^6.121/g1^21 + 2*g1^5*t^6.257 + (3*t^6.378)/g1^16 + g1^10*t^6.514 + (7*t^6.635)/g1^11 + (15*t^6.892)/g1^6 + (6*t^7.149)/g1 + (2*t^7.527)/g1^17 + (5*t^7.784)/g1^12 + g1^14*t^7.919 + (7*t^8.04)/g1^7 + t^8.162/g1^28 - (2*t^8.297)/g1^2 + (3*t^8.419)/g1^23 - 2*g1^3*t^8.554 + (7*t^8.675)/g1^18 + g1^8*t^8.811 + (15*t^8.932)/g1^13 - t^4.149/(g1*y) - t^6.189/(g1^8*y) - (3*t^6.446)/(g1^3*y) + (3*t^7.338)/(g1^9*y) + (4*t^7.595)/(g1^4*y) + (6*g1*t^7.851)/y + (g1^6*t^8.108)/y - t^8.23/(g1^15*y) - t^8.486/(g1^10*y) + t^8.743/(g1^5*y) - (t^4.149*y)/g1 - (t^6.189*y)/g1^8 - (3*t^6.446*y)/g1^3 + (3*t^7.338*y)/g1^9 + (4*t^7.595*y)/g1^4 + 6*g1*t^7.851*y + g1^6*t^8.108*y - (t^8.23*y)/g1^15 - (t^8.486*y)/g1^10 + (t^8.743*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
2878 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6751 | 0.8593 | 0.7856 | [M:[0.7632, 0.8553, 0.671, 1.1447, 0.7632, 0.7632], q:[0.7632, 0.4737], qb:[0.3816, 0.8553], phi:[0.3816]] | t^2.013 + 4*t^2.289 + t^2.566 + 2*t^3.434 + t^3.987 + t^4.026 + 4*t^4.303 + 11*t^4.579 + 5*t^4.855 + t^5.132 + 2*t^5.447 + 6*t^5.724 - 2*t^6. - t^4.145/y - t^4.145*y | detail | |
2879 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6775 | 0.8668 | 0.7816 | [M:[0.7647, 0.853, 0.6764, 1.147, 0.7647, 0.6764], q:[0.7647, 0.4706], qb:[0.3823, 0.853], phi:[0.3823]] | 2*t^2.029 + 3*t^2.294 + t^2.559 + 2*t^3.441 + t^3.706 + 3*t^4.059 + 6*t^4.323 + 8*t^4.588 + 4*t^4.853 + t^5.118 + 4*t^5.47 + 6*t^5.735 - t^4.147/y - t^4.147*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 |
---|---|---|---|---|---|---|---|---|---|
515 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7296 | 0.8971 | 0.8133 | [M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | t^2.297 + 3*t^2.672 + t^2.953 + t^3.047 + t^3.608 + t^4.008 + t^4.289 + t^4.383 + t^4.569 + t^4.594 + 2*t^4.664 + t^4.759 + t^4.944 + 3*t^4.969 + t^5.039 + t^5.25 + t^5.32 + 6*t^5.344 + t^5.625 + t^5.72 + t^5.905 - 3*t^6. - t^4.336/y - t^4.336*y | detail |