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 |
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2561 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6921 | 0.8506 | 0.8137 | [M:[1.0113, 0.9962, 0.9887, 1.0188, 0.9812, 0.9962, 0.9812], q:[0.4906, 0.4981], qb:[0.5206, 0.4831], phi:[0.5019]] | [M:[[-6], [2], [6], [-10], [10], [2], [10]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$ | ${}$ | -3 | t^2.921 + 2*t^2.944 + t^2.966 + 2*t^2.989 + t^3.034 + t^4.404 + t^4.427 + 2*t^4.449 + t^4.472 + t^4.494 + t^4.517 + t^4.539 + t^4.562 + t^4.629 + t^5.842 + 2*t^5.865 + 3*t^5.887 + 3*t^5.91 + 4*t^5.932 + 2*t^5.955 + 2*t^5.977 - 3*t^6. - t^6.045 - t^6.09 - t^6.113 + t^7.326 + 3*t^7.348 + 4*t^7.371 + 5*t^7.393 + 4*t^7.416 + 5*t^7.438 + 3*t^7.461 + 2*t^7.483 + t^7.551 + t^7.573 + t^7.663 + t^8.764 + 2*t^8.786 + 4*t^8.809 + 6*t^8.831 + 7*t^8.854 + 8*t^8.876 + 5*t^8.899 + 2*t^8.921 - 4*t^8.944 - 2*t^8.966 - 6*t^8.989 - t^4.506/y - t^7.449/y - t^7.494/y + t^7.517/y + t^7.562/y + (2*t^8.865)/y + (2*t^8.887)/y + (4*t^8.91)/y + (4*t^8.932)/y + (3*t^8.955)/y + (3*t^8.977)/y - t^4.506*y - t^7.449*y - t^7.494*y + t^7.517*y + t^7.562*y + 2*t^8.865*y + 2*t^8.887*y + 4*t^8.91*y + 4*t^8.932*y + 3*t^8.955*y + 3*t^8.977*y | g1^14*t^2.921 + 2*g1^10*t^2.944 + g1^6*t^2.966 + 2*g1^2*t^2.989 + t^3.034/g1^6 + g1^17*t^4.404 + g1^13*t^4.427 + 2*g1^9*t^4.449 + g1^5*t^4.472 + g1*t^4.494 + t^4.517/g1^3 + t^4.539/g1^7 + t^4.562/g1^11 + t^4.629/g1^23 + g1^28*t^5.842 + 2*g1^24*t^5.865 + 3*g1^20*t^5.887 + 3*g1^16*t^5.91 + 4*g1^12*t^5.932 + 2*g1^8*t^5.955 + 2*g1^4*t^5.977 - 3*t^6. - t^6.045/g1^8 - t^6.09/g1^16 - t^6.113/g1^20 + g1^31*t^7.326 + 3*g1^27*t^7.348 + 4*g1^23*t^7.371 + 5*g1^19*t^7.393 + 4*g1^15*t^7.416 + 5*g1^11*t^7.438 + 3*g1^7*t^7.461 + 2*g1^3*t^7.483 + t^7.551/g1^9 + t^7.573/g1^13 + t^7.663/g1^29 + g1^42*t^8.764 + 2*g1^38*t^8.786 + 4*g1^34*t^8.809 + 6*g1^30*t^8.831 + 7*g1^26*t^8.854 + 8*g1^22*t^8.876 + 5*g1^18*t^8.899 + 2*g1^14*t^8.921 - 4*g1^10*t^8.944 - 2*g1^6*t^8.966 - 6*g1^2*t^8.989 - t^4.506/(g1*y) - (g1^9*t^7.449)/y - (g1*t^7.494)/y + t^7.517/(g1^3*y) + t^7.562/(g1^11*y) + (2*g1^24*t^8.865)/y + (2*g1^20*t^8.887)/y + (4*g1^16*t^8.91)/y + (4*g1^12*t^8.932)/y + (3*g1^8*t^8.955)/y + (3*g1^4*t^8.977)/y - (t^4.506*y)/g1 - g1^9*t^7.449*y - g1*t^7.494*y + (t^7.517*y)/g1^3 + (t^7.562*y)/g1^11 + 2*g1^24*t^8.865*y + 2*g1^20*t^8.887*y + 4*g1^16*t^8.91*y + 4*g1^12*t^8.932*y + 3*g1^8*t^8.955*y + 3*g1^4*t^8.977*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 |
---|---|---|---|---|---|---|---|---|
4637 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6935 | 0.855 | 0.8112 | [M:[1.0199, 0.9934, 0.9801, 1.0332, 0.9668, 0.9934, 0.9668, 0.9801], q:[0.4834, 0.4967], qb:[0.5365, 0.4701], phi:[0.5033]] | t^2.86 + 2*t^2.9 + 2*t^2.94 + 2*t^2.98 + t^4.331 + t^4.37 + 2*t^4.41 + t^4.45 + t^4.49 + t^4.53 + t^4.57 + t^4.61 + t^4.729 + t^5.721 + 2*t^5.761 + 4*t^5.801 + 5*t^5.841 + 6*t^5.88 + 3*t^5.92 - 4*t^6. - t^4.51/y - t^4.51*y | detail | |
4634 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6914 | 0.848 | 0.8153 | [M:[1.0025, 0.9992, 0.9975, 1.0042, 0.9958, 0.9992, 0.9958, 1.0025], q:[0.4979, 0.4996], qb:[0.5047, 0.4962], phi:[0.5004]] | t^2.982 + 2*t^2.987 + 2*t^2.997 + 2*t^3.008 + t^4.478 + t^4.483 + 2*t^4.489 + t^4.494 + t^4.499 + t^4.504 + t^4.509 + t^4.514 + t^4.529 + t^5.964 + 2*t^5.969 + 2*t^5.975 + t^5.98 + 3*t^5.985 + t^5.99 + 4*t^5.995 - 4*t^6. - t^4.501/y - t^4.501*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 |
---|---|---|---|---|---|---|---|---|---|
1485 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6915 | 0.8474 | 0.816 | [M:[0.9967, 1.0011, 1.0033, 0.9946, 1.0054, 1.0011], q:[0.5027, 0.5005], qb:[0.494, 0.5049], phi:[0.4995]] | t^2.984 + t^2.99 + 2*t^3.003 + t^3.01 + t^3.016 + t^3.023 + t^4.462 + t^4.482 + t^4.489 + t^4.495 + t^4.502 + t^4.508 + 2*t^4.515 + t^4.521 + t^4.528 + t^5.987 + t^5.993 - 2*t^6. - t^4.498/y - t^4.498*y | detail |