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 |
---|---|---|---|---|---|---|---|---|---|
1482 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{6}$ | 0.6918 | 0.8495 | 0.8143 | [M:[1.0084, 0.9972, 0.9916, 1.0139, 0.9861, 0.9861], q:[0.493, 0.4986], qb:[0.5153, 0.4875], phi:[0.5014]] | [M:[[-6], [2], [6], [-10], [10], [10]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -2 | t^2.942 + 2*t^2.958 + t^2.975 + t^2.992 + t^3.008 + t^3.025 + t^4.429 + t^4.446 + 2*t^4.462 + t^4.479 + t^4.496 + t^4.513 + t^4.529 + t^4.546 + t^4.596 + t^5.883 + 2*t^5.9 + 3*t^5.916 + 2*t^5.933 + 3*t^5.95 + 3*t^5.967 + t^5.983 - 2*t^6. - t^6.067 - t^6.084 + t^7.371 + 3*t^7.387 + 4*t^7.404 + 4*t^7.421 + 4*t^7.437 + 4*t^7.454 + 4*t^7.471 + 2*t^7.487 + t^7.538 + 2*t^7.554 - t^7.588 + t^7.604 + t^7.621 + t^8.825 + 2*t^8.841 + 4*t^8.858 + 5*t^8.875 + 6*t^8.891 + 7*t^8.908 + 5*t^8.925 - 3*t^8.958 - t^8.975 - 2*t^8.992 - t^4.504/y - t^7.462/y + t^7.546/y + (2*t^8.9)/y + (2*t^8.916)/y + (3*t^8.933)/y + (3*t^8.95)/y + (4*t^8.967)/y + (3*t^8.983)/y - t^4.504*y - t^7.462*y + t^7.546*y + 2*t^8.9*y + 2*t^8.916*y + 3*t^8.933*y + 3*t^8.95*y + 4*t^8.967*y + 3*t^8.983*y | g1^14*t^2.942 + 2*g1^10*t^2.958 + g1^6*t^2.975 + g1^2*t^2.992 + t^3.008/g1^2 + t^3.025/g1^6 + g1^17*t^4.429 + g1^13*t^4.446 + 2*g1^9*t^4.462 + g1^5*t^4.479 + g1*t^4.496 + t^4.513/g1^3 + t^4.529/g1^7 + t^4.546/g1^11 + t^4.596/g1^23 + g1^28*t^5.883 + 2*g1^24*t^5.9 + 3*g1^20*t^5.916 + 2*g1^16*t^5.933 + 3*g1^12*t^5.95 + 3*g1^8*t^5.967 + g1^4*t^5.983 - 2*t^6. - t^6.067/g1^16 - t^6.084/g1^20 + g1^31*t^7.371 + 3*g1^27*t^7.387 + 4*g1^23*t^7.404 + 4*g1^19*t^7.421 + 4*g1^15*t^7.437 + 4*g1^11*t^7.454 + 4*g1^7*t^7.471 + 2*g1^3*t^7.487 + t^7.538/g1^9 + (2*t^7.554)/g1^13 - t^7.588/g1^21 + t^7.604/g1^25 + t^7.621/g1^29 + g1^42*t^8.825 + 2*g1^38*t^8.841 + 4*g1^34*t^8.858 + 5*g1^30*t^8.875 + 6*g1^26*t^8.891 + 7*g1^22*t^8.908 + 5*g1^18*t^8.925 - 3*g1^10*t^8.958 - g1^6*t^8.975 - 2*g1^2*t^8.992 - t^4.504/(g1*y) - (g1^9*t^7.462)/y + t^7.546/(g1^11*y) + (2*g1^24*t^8.9)/y + (2*g1^20*t^8.916)/y + (3*g1^16*t^8.933)/y + (3*g1^12*t^8.95)/y + (4*g1^8*t^8.967)/y + (3*g1^4*t^8.983)/y - (t^4.504*y)/g1 - g1^9*t^7.462*y + (t^7.546*y)/g1^11 + 2*g1^24*t^8.9*y + 2*g1^20*t^8.916*y + 3*g1^16*t^8.933*y + 3*g1^12*t^8.95*y + 4*g1^8*t^8.967*y + 3*g1^4*t^8.983*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 |
---|---|---|---|---|---|---|---|---|
2585 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.693 | 0.8533 | 0.8121 | [M:[1.017, 0.9943, 0.983, 1.0284, 0.9716, 0.9716, 0.983], q:[0.4858, 0.4972], qb:[0.5312, 0.4744], phi:[0.5028]] | t^2.881 + 2*t^2.915 + 2*t^2.949 + t^2.983 + t^3.017 + t^4.355 + t^4.389 + 2*t^4.423 + t^4.457 + t^4.491 + t^4.526 + t^4.56 + t^4.594 + t^4.696 + t^5.761 + 2*t^5.796 + 4*t^5.83 + 4*t^5.864 + 5*t^5.898 + 3*t^5.932 - 3*t^6. - t^4.509/y - t^4.509*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 |
---|---|---|---|---|---|---|---|---|---|
958 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6916 | 0.8474 | 0.8161 | [M:[0.9938, 1.0021, 1.0062, 0.9897, 1.0103], q:[0.5051, 0.501], qb:[0.4887, 0.5092], phi:[0.499]] | t^2.969 + t^2.982 + t^2.994 + t^3.006 + t^3.018 + t^3.031 + t^3.043 + t^4.429 + t^4.466 + t^4.478 + t^4.491 + t^4.503 + t^4.515 + 2*t^4.528 + t^4.54 + t^4.552 + t^5.963 + t^5.975 + t^5.988 - t^6. - t^4.497/y - t^4.497*y | detail |