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 |
---|---|---|---|---|---|---|---|---|---|
48288 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.7083 | 0.8692 | 0.8149 | [M:[0.9973, 1.0492, 1.0027, 0.8523, 0.9042, 0.9973], q:[0.4261, 0.5766], qb:[0.5246, 0.5712], phi:[0.4754]] | [M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-1, -1], [-3, 1]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -3 | t^2.557 + t^2.713 + t^2.852 + 2*t^2.992 + t^3.148 + t^3.304 + t^3.983 + t^4.278 + t^4.418 + t^4.434 + t^4.574 + t^4.714 + t^4.73 + t^4.853 + t^4.869 + t^4.885 + t^5.114 + t^5.269 + t^5.409 + t^5.425 + t^5.549 + 3*t^5.705 + t^5.844 + t^5.86 + 2*t^5.984 - 3*t^6. + t^6.14 + t^6.295 - t^6.435 + t^6.54 + t^6.607 + t^6.696 + 2*t^6.835 + 2*t^6.975 + t^6.991 + 2*t^7.131 + t^7.147 + 2*t^7.27 + 2*t^7.286 + 2*t^7.41 + t^7.426 + t^7.442 + 2*t^7.566 + t^7.582 + t^7.598 + t^7.67 + 2*t^7.705 + t^7.738 + t^7.826 + 2*t^7.845 + t^7.877 + 2*t^7.966 + t^7.982 + t^8.033 + t^8.106 + t^8.138 + t^8.189 + 3*t^8.261 + t^8.401 + 3*t^8.417 + t^8.541 - 2*t^8.557 + t^8.573 + 3*t^8.696 - 3*t^8.713 + 2*t^8.836 - t^8.852 + 2*t^8.976 - 6*t^8.992 - t^4.426/y - t^6.983/y - t^7.139/y - t^7.418/y + t^7.434/y + t^7.714/y + t^7.869/y + t^8.269/y + t^8.409/y + (2*t^8.549)/y + t^8.565/y + (3*t^8.705)/y + (2*t^8.844)/y + (2*t^8.86)/y + t^8.984/y - t^4.426*y - t^6.983*y - t^7.139*y - t^7.418*y + t^7.434*y + t^7.714*y + t^7.869*y + t^8.269*y + t^8.409*y + 2*t^8.549*y + t^8.565*y + 3*t^8.705*y + 2*t^8.844*y + 2*t^8.86*y + t^8.984*y | t^2.557/g1^6 + t^2.713/(g1*g2) + t^2.852/g1^2 + (2*g2*t^2.992)/g1^3 + g1^2*t^3.148 + (g1^7*t^3.304)/g2 + t^3.983/g1^7 + t^4.278/g1^3 + (g2*t^4.418)/g1^4 + (g1^2*t^4.434)/g2 + g1*t^4.574 + g2*t^4.714 + (g1^6*t^4.73)/g2 + (g2^2*t^4.853)/g1 + g1^5*t^4.869 + (g1^11*t^4.885)/g2^2 + t^5.114/g1^12 + t^5.269/(g1^7*g2) + t^5.409/g1^8 + t^5.425/(g1^2*g2^2) + (g2*t^5.549)/g1^9 + (3*t^5.705)/g1^4 + (g2*t^5.844)/g1^5 + (g1*t^5.86)/g2 + (2*g2^2*t^5.984)/g1^6 - 3*t^6. + (g2*t^6.14)/g1 + g1^4*t^6.295 - g1^3*g2*t^6.435 + t^6.54/g1^13 + (g1^14*t^6.607)/g2^2 + t^6.696/(g1^8*g2) + (2*t^6.835)/g1^9 + (2*g2*t^6.975)/g1^10 + t^6.991/(g1^4*g2) + (2*t^7.131)/g1^5 + (g1*t^7.147)/g2^2 + (2*g2*t^7.27)/g1^6 + (2*t^7.286)/g2 + (2*g2^2*t^7.41)/g1^7 + t^7.426/g1 + (g1^5*t^7.442)/g2^2 + (2*g2*t^7.566)/g1^2 + (g1^4*t^7.582)/g2 + (g1^10*t^7.598)/g2^3 + t^7.67/g1^18 + (2*g2^2*t^7.705)/g1^3 + (g1^9*t^7.738)/g2^2 + t^7.826/(g1^13*g2) + (2*g2^3*t^7.845)/g1^4 + (g1^8*t^7.877)/g2 + (2*t^7.966)/g1^14 + t^7.982/(g1^8*g2^2) + (g1^13*t^8.033)/g2^2 + (g2*t^8.106)/g1^15 + t^8.138/(g1^3*g2^3) + (g1^18*t^8.189)/g2^3 + (3*t^8.261)/g1^10 + (g2*t^8.401)/g1^11 + (3*t^8.417)/(g1^5*g2) + (g2^2*t^8.541)/g1^12 - (2*t^8.557)/g1^6 + t^8.573/g2^2 + (3*g2*t^8.696)/g1^7 - (3*t^8.713)/(g1*g2) + (2*g2^2*t^8.836)/g1^8 - t^8.852/g1^2 + (2*g2^3*t^8.976)/g1^9 - (6*g2*t^8.992)/g1^3 - t^4.426/(g1*y) - t^6.983/(g1^7*y) - t^7.139/(g1^2*g2*y) - (g2*t^7.418)/(g1^4*y) + (g1^2*t^7.434)/(g2*y) + (g2*t^7.714)/y + (g1^5*t^7.869)/y + t^8.269/(g1^7*g2*y) + t^8.409/(g1^8*y) + (2*g2*t^8.549)/(g1^9*y) + t^8.565/(g1^3*g2*y) + (3*t^8.705)/(g1^4*y) + (2*g2*t^8.844)/(g1^5*y) + (2*g1*t^8.86)/(g2*y) + (g2^2*t^8.984)/(g1^6*y) - (t^4.426*y)/g1 - (t^6.983*y)/g1^7 - (t^7.139*y)/(g1^2*g2) - (g2*t^7.418*y)/g1^4 + (g1^2*t^7.434*y)/g2 + g2*t^7.714*y + g1^5*t^7.869*y + (t^8.269*y)/(g1^7*g2) + (t^8.409*y)/g1^8 + (2*g2*t^8.549*y)/g1^9 + (t^8.565*y)/(g1^3*g2) + (3*t^8.705*y)/g1^4 + (2*g2*t^8.844*y)/g1^5 + (2*g1*t^8.86*y)/g2 + (g2^2*t^8.984*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
56001 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7291 | 0.9105 | 0.8008 | [M:[0.9974, 1.0487, 1.0026, 0.8538, 0.9052, 0.9974, 0.6705], q:[0.4269, 0.5757], qb:[0.5244, 0.5705], phi:[0.4756]] | t^2.012 + t^2.561 + t^2.716 + t^2.854 + 2*t^2.992 + t^3.146 + t^3.3 + t^4.023 + t^4.281 + t^4.419 + t^4.435 + 2*t^4.573 + t^4.711 + 2*t^4.727 + t^4.85 + 2*t^4.865 + t^4.881 + 2*t^5.004 + t^5.123 + t^5.158 + t^5.277 + t^5.312 + t^5.415 + t^5.431 + t^5.554 + 3*t^5.708 + t^5.846 + t^5.862 + 2*t^5.984 - 3*t^6. - t^4.427/y - t^4.427*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 |
---|---|---|---|---|---|---|---|---|---|
46383 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7095 | 0.8721 | 0.8136 | [M:[1.0279, 1.0487, 0.9721, 0.8538, 0.8746], q:[0.4269, 0.5452], qb:[0.5244, 0.601], phi:[0.4756]] | t^2.561 + t^2.624 + t^2.854 + t^2.916 + t^3.084 + t^3.146 + t^3.209 + t^3.988 + t^4.281 + t^4.343 + t^4.511 + t^4.573 + t^4.636 + t^4.698 + t^4.803 + t^4.866 + t^5.033 + t^5.123 + t^5.185 + t^5.248 + t^5.415 + t^5.478 + t^5.54 + 2*t^5.708 + 2*t^5.77 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |