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 |
---|---|---|---|---|---|---|---|---|---|
1868 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.6359 | 0.7849 | 0.8102 | [X:[1.616], M:[0.7681, 1.1521, 0.384, 0.8479, 0.7681], q:[0.4639, 0.7681], qb:[0.384, 0.8479], phi:[0.384]] | [X:[[1]], M:[[-2], [-3], [-1], [3], [-2]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0 | 3*t^2.304 + t^2.544 + 2*t^3.456 + t^3.696 + 2*t^3.935 + 6*t^4.608 + 4*t^4.848 + t^5.087 + 4*t^5.761 + 5*t^6.239 + 2*t^6.479 + 11*t^6.913 + 5*t^7.152 + 2*t^7.392 + t^7.631 + 3*t^7.87 + 6*t^8.065 - 4*t^8.304 + 3*t^8.544 + 5*t^8.783 - t^4.152/y - (3*t^6.456)/y + (3*t^7.608)/y + (6*t^7.848)/y - t^4.152*y - 3*t^6.456*y + 3*t^7.608*y + 6*t^7.848*y | (3*t^2.304)/g1^2 + g1^3*t^2.544 + (2*t^3.456)/g1^3 + g1^2*t^3.696 + 2*g1^7*t^3.935 + (6*t^4.608)/g1^4 + 4*g1*t^4.848 + g1^6*t^5.087 + (4*t^5.761)/g1^5 + 5*g1^5*t^6.239 + 2*g1^10*t^6.479 + (11*t^6.913)/g1^6 + (5*t^7.152)/g1 + 2*g1^4*t^7.392 + g1^9*t^7.631 + 3*g1^14*t^7.87 + (6*t^8.065)/g1^7 - (4*t^8.304)/g1^2 + 3*g1^3*t^8.544 + 5*g1^8*t^8.783 - t^4.152/(g1*y) - (3*t^6.456)/(g1^3*y) + (3*t^7.608)/(g1^4*y) + (6*g1*t^7.848)/y - (t^4.152*y)/g1 - (3*t^6.456*y)/g1^3 + (3*t^7.608*y)/g1^4 + 6*g1*t^7.848*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 |
---|---|---|---|---|---|---|---|---|
2881 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ | 0.6497 | 0.8094 | 0.8027 | [X:[1.6113], M:[0.7774, 1.166, 0.3887, 0.834, 0.7774, 0.834], q:[0.4453, 0.7774], qb:[0.3887, 0.834], phi:[0.3887]] | 3*t^2.332 + 2*t^2.502 + t^3.498 + t^3.668 + 2*t^3.838 + 6*t^4.664 + 7*t^4.834 + 3*t^5.004 + t^5.83 - t^4.166/y - t^4.166*y | detail | |
2880 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6542 | 0.8179 | 0.7999 | [X:[1.618], M:[0.7639, 1.1459, 0.382, 0.8541, 0.7639, 0.7639], q:[0.4722, 0.7639], qb:[0.382, 0.8541], phi:[0.382]] | 4*t^2.292 + t^2.562 + 2*t^3.438 + 2*t^3.979 + 10*t^4.583 + 5*t^4.854 + t^5.125 + 6*t^5.729 - 3*t^6. - t^4.146/y - t^4.146*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 |