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 |
---|---|---|---|---|---|---|---|---|---|
46304 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.7125 | 0.866 | 0.8228 | [M:[0.9101, 1.0, 1.0, 0.9101], q:[0.6348, 0.4551], qb:[0.5449, 0.5449], phi:[0.4551]] | [M:[[-2, -2], [-1, 1], [1, -1], [-2, -2]], q:[[3, 3], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}M_{2}^{2}$, ${ }M_{3}^{2}$ | -3 | 3*t^2.73 + 2*t^3. + 2*t^3.539 + t^4.095 + 2*t^4.365 + 4*t^4.635 + 2*t^4.905 + t^5.174 + 5*t^5.461 + 2*t^5.73 - 3*t^6. + 2*t^6.27 + 2*t^6.539 + 2*t^6.826 + 3*t^7.079 + 4*t^7.095 + 9*t^7.365 + 6*t^7.635 + t^7.905 + 4*t^8.174 + 9*t^8.191 + 2*t^8.444 + 2*t^8.461 + 2*t^8.714 - 8*t^8.73 - t^4.365/y - (3*t^7.095)/y + (3*t^7.635)/y + (3*t^8.461)/y + (6*t^8.73)/y - t^4.365*y - 3*t^7.095*y + 3*t^7.635*y + 3*t^8.461*y + 6*t^8.73*y | (3*t^2.73)/(g1^2*g2^2) + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g1^5*g2^3*t^3.539 + g1^3*g2^5*t^3.539 + t^4.095/(g1^3*g2^3) + t^4.365/g1^2 + t^4.365/g2^2 + (g1^3*t^4.635)/g2 + 2*g1*g2*t^4.635 + (g2^3*t^4.635)/g1 + g1^4*g2^2*t^4.905 + g1^2*g2^4*t^4.905 + g1^5*g2^5*t^5.174 + (5*t^5.461)/(g1^4*g2^4) + t^5.73/(g1*g2^3) + t^5.73/(g1^3*g2) - 3*t^6. + g1^3*g2*t^6.27 + g1*g2^3*t^6.27 + g1^6*g2^2*t^6.539 + g1^2*g2^6*t^6.539 + (2*t^6.826)/(g1^5*g2^5) + g1^10*g2^6*t^7.079 + g1^8*g2^8*t^7.079 + g1^6*g2^10*t^7.079 + (2*t^7.095)/(g1^2*g2^4) + (2*t^7.095)/(g1^4*g2^2) + (3*g1*t^7.365)/g2^3 + (3*t^7.365)/(g1*g2) + (3*g2*t^7.365)/g1^3 + 2*g1^2*t^7.635 + (g1^4*t^7.635)/g2^2 + 2*g2^2*t^7.635 + (g2^4*t^7.635)/g1^2 + g1^3*g2^3*t^7.905 + g1^8*g2^2*t^8.174 + g1^6*g2^4*t^8.174 + g1^4*g2^6*t^8.174 + g1^2*g2^8*t^8.174 + (9*t^8.191)/(g1^6*g2^6) + g1^9*g2^5*t^8.444 + g1^5*g2^9*t^8.444 + t^8.461/(g1^3*g2^5) + t^8.461/(g1^5*g2^3) + g1^10*g2^8*t^8.714 + g1^8*g2^10*t^8.714 - (8*t^8.73)/(g1^2*g2^2) - t^4.365/(g1*g2*y) - (3*t^7.095)/(g1^3*g2^3*y) + (3*g1*g2*t^7.635)/y + (3*t^8.461)/(g1^4*g2^4*y) + (3*t^8.73)/(g1*g2^3*y) + (3*t^8.73)/(g1^3*g2*y) - (t^4.365*y)/(g1*g2) - (3*t^7.095*y)/(g1^3*g2^3) + 3*g1*g2*t^7.635*y + (3*t^8.461*y)/(g1^4*g2^4) + (3*t^8.73*y)/(g1*g2^3) + (3*t^8.73*y)/(g1^3*g2) |
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 |
---|---|---|---|---|---|---|---|---|
46619 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.7296 | 0.8971 | 0.8133 | [M:[0.8907, 0.9842, 1.0158, 0.8907, 0.7657], q:[0.6639, 0.4454], qb:[0.5704, 0.5389], 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 | |
46613 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6359 | 0.7849 | 0.8102 | [M:[0.7681, 0.8479, 1.1521, 0.7681], q:[0.8479, 0.384], qb:[0.7681, 0.4639], 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 | |
46428 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6393 | 0.7913 | 0.808 | [M:[0.8612, 0.7847, 1.2153, 0.8612], q:[0.7081, 0.4306], qb:[0.7847, 0.3541], phi:[0.4306]] | t^2.354 + 3*t^2.584 + t^3.187 + t^3.416 + 2*t^3.646 + t^3.876 + 2*t^4.479 + 2*t^4.708 + 2*t^4.938 + 5*t^5.167 + 2*t^5.541 + 3*t^5.77 + t^6. - t^4.292/y - t^4.292*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 |
---|---|---|---|---|---|---|---|---|---|
46056 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7737 | 0.9544 | 0.8107 | [M:[0.7809, 0.7498, 0.7498, 0.7809], q:[0.5785, 0.6406], qb:[0.6095, 0.6095], phi:[0.3905]] | 2*t^2.25 + 3*t^2.343 + 2*t^3.564 + 3*t^4.499 + 6*t^4.592 + t^4.642 + 6*t^4.686 + 2*t^4.735 + 4*t^4.829 + 2*t^4.922 + t^5.015 + 3*t^5.814 + 2*t^5.907 - 6*t^6. - t^4.171/y - t^4.171*y | detail |