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 |
---|---|---|---|---|---|---|---|---|---|
2880 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 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]] | [X:[[1]], M:[[-2], [-3], [-1], [3], [-2], [-2]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | -3 | 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. + 6*t^6.271 + 2*t^6.541 + 21*t^6.875 + 8*t^7.146 + 2*t^7.417 - t^7.687 + 3*t^7.958 + 12*t^8.021 - 13*t^8.292 + 5*t^8.562 + 6*t^8.833 - t^4.146/y - (4*t^6.438)/y + (6*t^7.583)/y + (8*t^7.854)/y - (2*t^8.729)/y - t^4.146*y - 4*t^6.438*y + 6*t^7.583*y + 8*t^7.854*y - 2*t^8.729*y | (4*t^2.292)/g1^2 + g1^3*t^2.562 + (2*t^3.438)/g1^3 + 2*g1^7*t^3.979 + (10*t^4.583)/g1^4 + 5*g1*t^4.854 + g1^6*t^5.125 + (6*t^5.729)/g1^5 - 3*t^6. + 6*g1^5*t^6.271 + 2*g1^10*t^6.541 + (21*t^6.875)/g1^6 + (8*t^7.146)/g1 + 2*g1^4*t^7.417 - g1^9*t^7.687 + 3*g1^14*t^7.958 + (12*t^8.021)/g1^7 - (13*t^8.292)/g1^2 + 5*g1^3*t^8.562 + 6*g1^8*t^8.833 - t^4.146/(g1*y) - (4*t^6.438)/(g1^3*y) + (6*t^7.583)/(g1^4*y) + (8*g1*t^7.854)/y - (2*t^8.729)/(g1^5*y) - (t^4.146*y)/g1 - (4*t^6.438*y)/g1^3 + (6*t^7.583*y)/g1^4 + 8*g1*t^7.854*y - (2*t^8.729*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 |
---|---|---|---|---|---|---|---|---|
3445 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6676 | 0.8409 | 0.7939 | [X:[1.6134], M:[0.7732, 1.1598, 0.3866, 0.8402, 0.7732, 0.7732, 0.8402], q:[0.4536, 0.7732], qb:[0.3866, 0.8402], phi:[0.3866]] | 4*t^2.32 + 2*t^2.521 + t^3.479 + 2*t^3.882 + 10*t^4.639 + 9*t^4.84 + 3*t^5.041 + 2*t^5.799 - 3*t^6. - t^4.16/y - t^4.16*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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 - t^4.152/y - t^4.152*y | detail |