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 |
---|---|---|---|---|---|---|---|---|---|
2055 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6868 | 0.8944 | 0.7679 | [M:[0.821, 1.179, 0.821, 0.7222, 1.1389, 0.679, 0.8179], q:[0.75, 0.429], qb:[0.3889, 0.4321], phi:[0.5]] | [M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [1, 0], [-1, -1], [0, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | t^2.037 + t^2.167 + 2*t^2.454 + 2*t^2.463 + t^3. + 2*t^3.417 + t^3.954 + 2*t^4.074 + t^4.083 + t^4.093 + t^4.204 + t^4.333 + 2*t^4.491 + 2*t^4.5 + 2*t^4.62 + 2*t^4.63 + 3*t^4.907 + 4*t^4.917 + 3*t^4.926 + t^5.037 + t^5.167 + 4*t^5.454 + 2*t^5.463 + 2*t^5.583 + 3*t^5.87 + 3*t^5.88 - 3*t^6. - t^6.009 + 2*t^6.111 + t^6.12 + 2*t^6.241 + t^6.25 + t^6.259 + t^6.37 + 2*t^6.407 + 2*t^6.417 + t^6.5 + 4*t^6.528 + 4*t^6.537 + 2*t^6.546 + 2*t^6.555 + 2*t^6.657 + 2*t^6.667 + 2*t^6.787 + 2*t^6.796 + 2*t^6.833 + 3*t^6.945 + 3*t^6.954 + t^6.963 + 4*t^7.074 + 3*t^7.083 + 3*t^7.093 + t^7.204 + t^7.333 + 4*t^7.361 + 6*t^7.37 + 4*t^7.38 + 4*t^7.389 + 4*t^7.491 + 2*t^7.62 + 2*t^7.75 + 6*t^7.907 + 5*t^7.917 + 2*t^7.926 + t^8.028 - t^8.037 + t^8.046 + 3*t^8.148 + t^8.157 - 2*t^8.167 + t^8.185 + 2*t^8.278 + t^8.287 + 4*t^8.324 + 4*t^8.333 + 4*t^8.343 + 2*t^8.408 + t^8.417 + t^8.426 - 6*t^8.454 - 8*t^8.463 - 2*t^8.472 + t^8.537 + 4*t^8.565 + 4*t^8.574 + t^8.667 + 4*t^8.695 + 4*t^8.704 + 2*t^8.713 + 2*t^8.722 + 2*t^8.824 + 2*t^8.833 + 3*t^8.861 + 5*t^8.87 + 2*t^8.88 + 2*t^8.954 + 2*t^8.963 + 6*t^8.982 + 5*t^8.991 - t^4.5/y - t^6.537/y - t^6.667/y - t^6.954/y - t^6.963/y + t^7.083/y + t^7.204/y + (2*t^7.491)/y + (2*t^7.5)/y + (2*t^7.62)/y + (2*t^7.63)/y + t^7.907/y + (3*t^7.917)/y + t^7.926/y + (2*t^8.037)/y + t^8.046/y + t^8.167/y + t^8.333/y + (4*t^8.454)/y + (3*t^8.463)/y - t^8.574/y + (2*t^8.583)/y - t^8.704/y - t^8.833/y + (4*t^8.87)/y + (4*t^8.88)/y - t^4.5*y - t^6.537*y - t^6.667*y - t^6.954*y - t^6.963*y + t^7.083*y + t^7.204*y + 2*t^7.491*y + 2*t^7.5*y + 2*t^7.62*y + 2*t^7.63*y + t^7.907*y + 3*t^7.917*y + t^7.926*y + 2*t^8.037*y + t^8.046*y + t^8.167*y + t^8.333*y + 4*t^8.454*y + 3*t^8.463*y - t^8.574*y + 2*t^8.583*y - t^8.704*y - t^8.833*y + 4*t^8.87*y + 4*t^8.88*y | t^2.037/(g1*g2) + t^2.167/g1^2 + (2*t^2.454)/g2 + 2*g1*g2*t^2.463 + t^3. + 2*g1*t^3.417 + t^3.954/g2 + (2*t^4.074)/(g1^2*g2^2) + t^4.083/g1 + g2^2*t^4.093 + t^4.204/(g1^3*g2) + t^4.333/g1^4 + (2*t^4.491)/(g1*g2^2) + 2*t^4.5 + (2*t^4.62)/(g1^2*g2) + (2*g2*t^4.63)/g1 + (3*t^4.907)/g2^2 + 4*g1*t^4.917 + 3*g1^2*g2^2*t^4.926 + t^5.037/(g1*g2) + t^5.167/g1^2 + (4*t^5.454)/g2 + 2*g1*g2*t^5.463 + (2*t^5.583)/g1 + (3*g1*t^5.87)/g2 + 3*g1^2*g2*t^5.88 - 3*t^6. - g1*g2^2*t^6.009 + (2*t^6.111)/(g1^3*g2^3) + t^6.12/(g1^2*g2) + (2*t^6.241)/(g1^4*g2^2) + t^6.25/g1^3 + (g2^2*t^6.259)/g1^2 + t^6.37/(g1^5*g2) + (2*t^6.407)/g2^2 + 2*g1*t^6.417 + t^6.5/g1^6 + (4*t^6.528)/(g1^2*g2^3) + (4*t^6.537)/(g1*g2) + 2*g2*t^6.546 + 2*g1*g2^3*t^6.555 + (2*t^6.657)/(g1^3*g2^2) + (2*t^6.667)/g1^2 + (2*t^6.787)/(g1^4*g2) + (2*g2*t^6.796)/g1^3 + 2*g1^2*t^6.833 + (3*t^6.945)/(g1*g2^3) + (3*t^6.954)/g2 + g1*g2*t^6.963 + (4*t^7.074)/(g1^2*g2^2) + (3*t^7.083)/g1 + 3*g2^2*t^7.093 + t^7.204/(g1^3*g2) + t^7.333/g1^4 + (4*t^7.361)/g2^3 + (6*g1*t^7.37)/g2 + 4*g1^2*g2*t^7.38 + 4*g1^3*g2^3*t^7.389 + (4*t^7.491)/(g1*g2^2) + (2*t^7.62)/(g1^2*g2) + (2*t^7.75)/g1^3 + (6*t^7.907)/g2^2 + 5*g1*t^7.917 + 2*g1^2*g2^2*t^7.926 + t^8.028/(g1^2*g2^3) - t^8.037/(g1*g2) + g2*t^8.046 + (3*t^8.148)/(g1^4*g2^4) + t^8.157/(g1^3*g2^2) - (2*t^8.167)/g1^2 + g2^4*t^8.185 + (2*t^8.278)/(g1^5*g2^3) + t^8.287/(g1^4*g2) + (4*g1*t^8.324)/g2^2 + 4*g1^2*t^8.333 + 4*g1^3*g2^2*t^8.343 + (2*t^8.408)/(g1^6*g2^2) + t^8.417/g1^5 + (g2^2*t^8.426)/g1^4 - (6*t^8.454)/g2 - 8*g1*g2*t^8.463 - 2*g1^2*g2^3*t^8.472 + t^8.537/(g1^7*g2) + (4*t^8.565)/(g1^3*g2^4) + (4*t^8.574)/(g1^2*g2^2) + t^8.667/g1^8 + (4*t^8.695)/(g1^4*g2^3) + (4*t^8.704)/(g1^3*g2) + (2*g2*t^8.713)/g1^2 + (2*g2^3*t^8.722)/g1 + (2*t^8.824)/(g1^5*g2^2) + (2*t^8.833)/g1^4 + (3*t^8.861)/g2^3 + (5*g1*t^8.87)/g2 + 2*g1^2*g2*t^8.88 + (2*t^8.954)/(g1^6*g2) + (2*g2*t^8.963)/g1^5 + (6*t^8.982)/(g1^2*g2^4) + (5*t^8.991)/(g1*g2^2) - t^4.5/y - t^6.537/(g1*g2*y) - t^6.667/(g1^2*y) - t^6.954/(g2*y) - (g1*g2*t^6.963)/y + t^7.083/(g1*y) + t^7.204/(g1^3*g2*y) + (2*t^7.491)/(g1*g2^2*y) + (2*t^7.5)/y + (2*t^7.62)/(g1^2*g2*y) + (2*g2*t^7.63)/(g1*y) + t^7.907/(g2^2*y) + (3*g1*t^7.917)/y + (g1^2*g2^2*t^7.926)/y + (2*t^8.037)/(g1*g2*y) + (g2*t^8.046)/y + t^8.167/(g1^2*y) + (g1^2*t^8.333)/y + (4*t^8.454)/(g2*y) + (3*g1*g2*t^8.463)/y - t^8.574/(g1^2*g2^2*y) + (2*t^8.583)/(g1*y) - t^8.704/(g1^3*g2*y) - t^8.833/(g1^4*y) + (4*g1*t^8.87)/(g2*y) + (4*g1^2*g2*t^8.88)/y - t^4.5*y - (t^6.537*y)/(g1*g2) - (t^6.667*y)/g1^2 - (t^6.954*y)/g2 - g1*g2*t^6.963*y + (t^7.083*y)/g1 + (t^7.204*y)/(g1^3*g2) + (2*t^7.491*y)/(g1*g2^2) + 2*t^7.5*y + (2*t^7.62*y)/(g1^2*g2) + (2*g2*t^7.63*y)/g1 + (t^7.907*y)/g2^2 + 3*g1*t^7.917*y + g1^2*g2^2*t^7.926*y + (2*t^8.037*y)/(g1*g2) + g2*t^8.046*y + (t^8.167*y)/g1^2 + g1^2*t^8.333*y + (4*t^8.454*y)/g2 + 3*g1*g2*t^8.463*y - (t^8.574*y)/(g1^2*g2^2) + (2*t^8.583*y)/g1 - (t^8.704*y)/(g1^3*g2) - (t^8.833*y)/g1^4 + (4*g1*t^8.87*y)/g2 + 4*g1^2*g2*t^8.88*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
882 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6721 | 0.8687 | 0.7736 | [M:[0.8103, 1.1897, 0.8103, 0.7064, 1.1468, 0.6897], q:[0.75, 0.4397], qb:[0.3968, 0.4135], phi:[0.5]] | t^2.069 + t^2.119 + 2*t^2.431 + t^2.51 + t^3. + 2*t^3.44 + t^3.49 + t^3.981 + t^4.01 + t^4.06 + 2*t^4.138 + t^4.189 + t^4.239 + 2*t^4.5 + 2*t^4.55 + t^4.579 + t^4.629 + 3*t^4.862 + 2*t^4.94 + t^5.019 + t^5.069 + t^5.119 + 2*t^5.431 + 3*t^5.51 + 3*t^5.56 + t^5.61 + 3*t^5.871 + t^5.921 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail |