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 |
---|---|---|---|---|---|---|---|---|---|
924 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6973 | 0.8552 | 0.8154 | [M:[1.0176, 0.9472, 1.0528, 0.912, 1.0], q:[0.4648, 0.5176], qb:[0.4824, 0.5704], phi:[0.4912]] | [M:[[2], [-6], [6], [-10], [0]], q:[[-4], [2]], qb:[[-2], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.736 + t^2.842 + t^2.947 + t^3. + t^3.053 + t^3.106 + t^3.158 + t^4.262 + t^4.315 + t^4.368 + t^4.421 + t^4.474 + 2*t^4.579 + t^4.632 + t^4.738 + t^4.896 + t^5.472 + t^5.577 + t^5.683 + 2*t^5.789 + 2*t^5.894 + t^5.947 - t^6. + t^6.053 + t^6.106 + 2*t^6.211 + t^6.998 + t^7.051 + 2*t^7.104 + t^7.157 + 2*t^7.21 + 2*t^7.262 + 2*t^7.315 + 3*t^7.368 + 3*t^7.421 + t^7.474 + 2*t^7.526 + 2*t^7.579 + 2*t^7.685 + 2*t^7.738 + t^7.843 + t^7.896 + t^8.002 + t^8.055 + t^8.208 + t^8.313 + t^8.419 + 3*t^8.525 + t^8.577 + 3*t^8.63 + t^8.683 + t^8.736 - t^8.789 + t^8.842 + t^8.894 - t^4.474/y - t^7.21/y + t^7.738/y + t^8.577/y + t^8.683/y + t^8.736/y + (2*t^8.789)/y + (2*t^8.842)/y + (2*t^8.894)/y + (2*t^8.947)/y - t^4.474*y - t^7.21*y + t^7.738*y + t^8.577*y + t^8.683*y + t^8.736*y + 2*t^8.789*y + 2*t^8.842*y + 2*t^8.894*y + 2*t^8.947*y | t^2.736/g1^10 + t^2.842/g1^6 + t^2.947/g1^2 + t^3. + g1^2*t^3.053 + g1^4*t^3.106 + g1^6*t^3.158 + t^4.262/g1^9 + t^4.315/g1^7 + t^4.368/g1^5 + t^4.421/g1^3 + t^4.474/g1 + 2*g1^3*t^4.579 + g1^5*t^4.632 + g1^9*t^4.738 + g1^15*t^4.896 + t^5.472/g1^20 + t^5.577/g1^16 + t^5.683/g1^12 + (2*t^5.789)/g1^8 + (2*t^5.894)/g1^4 + t^5.947/g1^2 - t^6. + g1^2*t^6.053 + g1^4*t^6.106 + 2*g1^8*t^6.211 + t^6.998/g1^19 + t^7.051/g1^17 + (2*t^7.104)/g1^15 + t^7.157/g1^13 + (2*t^7.21)/g1^11 + (2*t^7.262)/g1^9 + (2*t^7.315)/g1^7 + (3*t^7.368)/g1^5 + (3*t^7.421)/g1^3 + t^7.474/g1 + 2*g1*t^7.526 + 2*g1^3*t^7.579 + 2*g1^7*t^7.685 + 2*g1^9*t^7.738 + g1^13*t^7.843 + g1^15*t^7.896 + g1^19*t^8.002 + g1^21*t^8.055 + t^8.208/g1^30 + t^8.313/g1^26 + t^8.419/g1^22 + (3*t^8.525)/g1^18 + t^8.577/g1^16 + (3*t^8.63)/g1^14 + t^8.683/g1^12 + t^8.736/g1^10 - t^8.789/g1^8 + t^8.842/g1^6 + t^8.894/g1^4 - t^4.474/(g1*y) - t^7.21/(g1^11*y) + (g1^9*t^7.738)/y + t^8.577/(g1^16*y) + t^8.683/(g1^12*y) + t^8.736/(g1^10*y) + (2*t^8.789)/(g1^8*y) + (2*t^8.842)/(g1^6*y) + (2*t^8.894)/(g1^4*y) + (2*t^8.947)/(g1^2*y) - (t^4.474*y)/g1 - (t^7.21*y)/g1^11 + g1^9*t^7.738*y + (t^8.577*y)/g1^16 + (t^8.683*y)/g1^12 + (t^8.736*y)/g1^10 + (2*t^8.789*y)/g1^8 + (2*t^8.842*y)/g1^6 + (2*t^8.894*y)/g1^4 + (2*t^8.947*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1419 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6991 | 0.8584 | 0.8143 | [M:[1.0201, 0.9398, 1.0602, 0.8997, 1.0, 0.9799], q:[0.4599, 0.5201], qb:[0.4799, 0.5802], phi:[0.49]] | t^2.699 + t^2.82 + 2*t^2.94 + t^3. + t^3.12 + t^3.18 + t^4.229 + t^4.289 + t^4.35 + t^4.41 + t^4.47 + 2*t^4.59 + t^4.65 + t^4.771 + t^4.951 + t^5.398 + t^5.519 + 2*t^5.639 + 2*t^5.759 + 3*t^5.88 + 2*t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
1417 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6958 | 0.8525 | 0.8162 | [M:[1.0151, 0.9546, 1.0454, 0.9243, 1.0, 1.0151], q:[0.4697, 0.5151], qb:[0.4849, 0.5606], phi:[0.4924]] | t^2.773 + t^2.864 + t^3. + 2*t^3.045 + t^3.091 + t^3.136 + t^4.295 + t^4.341 + t^4.386 + t^4.432 + t^4.477 + 2*t^4.568 + t^4.614 + t^4.705 + t^4.841 + t^5.546 + t^5.636 + 2*t^5.818 + 2*t^5.909 - 2*t^6. - t^4.477/y - t^4.477*y | detail | |
1420 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.701 | 0.8622 | 0.8131 | [M:[1.0224, 0.9327, 1.0673, 0.8879, 1.0, 0.9551], q:[0.4551, 0.5224], qb:[0.4776, 0.5897], phi:[0.4888]] | t^2.664 + t^2.798 + t^2.865 + t^2.933 + t^3. + t^3.067 + t^3.202 + t^4.197 + t^4.265 + t^4.332 + t^4.399 + t^4.466 + 2*t^4.601 + t^4.668 + t^4.803 + t^5.005 + t^5.327 + t^5.462 + t^5.529 + t^5.596 + t^5.664 + 3*t^5.731 + 3*t^5.865 + t^5.933 - t^6. - t^4.466/y - t^4.466*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 |
---|---|---|---|---|---|---|---|---|---|
590 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ | 0.7194 | 0.8833 | 0.8145 | [M:[0.8377, 1.0, 1.0, 0.8377, 1.0], q:[0.5812, 0.5812], qb:[0.4188, 0.5812], phi:[0.4594]] | 2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y | detail |