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 |
---|---|---|---|---|---|---|---|---|---|
1440 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.6951 | 0.8524 | 0.8155 | [M:[1.0, 0.9778, 1.0222, 0.9556, 1.0444, 0.9556], q:[0.5111, 0.4889], qb:[0.4667, 0.5555], phi:[0.4944]] | [M:[[0], [-4], [4], [-8], [8], [-8]], q:[[2], [-2]], qb:[[-6], [10]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.867 + t^2.933 + t^2.967 + t^3. + t^3.067 + t^3.2 + t^4.283 + t^4.35 + 2*t^4.417 + t^4.483 + 2*t^4.55 + t^4.617 + t^4.683 + t^4.816 + 2*t^5.733 + t^5.8 + 2*t^5.833 + t^5.867 + t^5.9 + 2*t^5.933 + t^5.967 - 2*t^6. + t^6.033 + t^6.167 + t^6.4 + 2*t^7.15 + 2*t^7.217 + t^7.25 + 4*t^7.283 + 3*t^7.35 + t^7.383 + 4*t^7.417 - t^7.45 + 3*t^7.483 + t^7.517 + 2*t^7.55 - t^7.583 + 2*t^7.617 + 2*t^7.683 - t^7.717 + 2*t^7.75 + t^7.783 + t^7.816 - t^7.85 + 2*t^7.883 + t^8.016 + t^8.567 + 2*t^8.6 + t^8.634 + t^8.667 + 4*t^8.7 + 3*t^8.767 + t^8.8 + 5*t^8.833 - 5*t^8.867 + 5*t^8.9 - 4*t^8.933 + 2*t^8.967 - t^4.483/y - t^7.35/y - t^7.45/y + t^7.517/y + t^7.617/y + t^8.733/y + (2*t^8.8)/y + (2*t^8.833)/y + (2*t^8.867)/y + t^8.9/y + (3*t^8.933)/y + t^8.967/y - t^4.483*y - t^7.35*y - t^7.45*y + t^7.517*y + t^7.617*y + t^8.733*y + 2*t^8.8*y + 2*t^8.833*y + 2*t^8.867*y + t^8.9*y + 3*t^8.933*y + t^8.967*y | (2*t^2.867)/g1^8 + t^2.933/g1^4 + t^2.967/g1^2 + t^3. + g1^4*t^3.067 + g1^12*t^3.2 + t^4.283/g1^13 + t^4.35/g1^9 + (2*t^4.417)/g1^5 + t^4.483/g1 + 2*g1^3*t^4.55 + g1^7*t^4.617 + g1^11*t^4.683 + g1^19*t^4.816 + (2*t^5.733)/g1^16 + t^5.8/g1^12 + (2*t^5.833)/g1^10 + t^5.867/g1^8 + t^5.9/g1^6 + (2*t^5.933)/g1^4 + t^5.967/g1^2 - 2*t^6. + g1^2*t^6.033 + g1^10*t^6.167 + g1^24*t^6.4 + (2*t^7.15)/g1^21 + (2*t^7.217)/g1^17 + t^7.25/g1^15 + (4*t^7.283)/g1^13 + (3*t^7.35)/g1^9 + t^7.383/g1^7 + (4*t^7.417)/g1^5 - t^7.45/g1^3 + (3*t^7.483)/g1 + g1*t^7.517 + 2*g1^3*t^7.55 - g1^5*t^7.583 + 2*g1^7*t^7.617 + 2*g1^11*t^7.683 - g1^13*t^7.717 + 2*g1^15*t^7.75 + g1^17*t^7.783 + g1^19*t^7.816 - g1^21*t^7.85 + 2*g1^23*t^7.883 + g1^31*t^8.016 + t^8.567/g1^26 + (2*t^8.6)/g1^24 + t^8.634/g1^22 + t^8.667/g1^20 + (4*t^8.7)/g1^18 + (3*t^8.767)/g1^14 + t^8.8/g1^12 + (5*t^8.833)/g1^10 - (5*t^8.867)/g1^8 + (5*t^8.9)/g1^6 - (4*t^8.933)/g1^4 + (2*t^8.967)/g1^2 - t^4.483/(g1*y) - t^7.35/(g1^9*y) - t^7.45/(g1^3*y) + (g1*t^7.517)/y + (g1^7*t^7.617)/y + t^8.733/(g1^16*y) + (2*t^8.8)/(g1^12*y) + (2*t^8.833)/(g1^10*y) + (2*t^8.867)/(g1^8*y) + t^8.9/(g1^6*y) + (3*t^8.933)/(g1^4*y) + t^8.967/(g1^2*y) - (t^4.483*y)/g1 - (t^7.35*y)/g1^9 - (t^7.45*y)/g1^3 + g1*t^7.517*y + g1^7*t^7.617*y + (t^8.733*y)/g1^16 + (2*t^8.8*y)/g1^12 + (2*t^8.833*y)/g1^10 + (2*t^8.867*y)/g1^8 + (t^8.9*y)/g1^6 + (3*t^8.933*y)/g1^4 + (t^8.967*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 |
---|---|---|---|---|---|---|---|---|
2504 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6975 | 0.8568 | 0.814 | [M:[1.0, 0.9714, 1.0286, 0.9429, 1.0571, 0.9429, 0.9714], q:[0.5143, 0.4857], qb:[0.4572, 0.5714], phi:[0.4929]] | 2*t^2.829 + 2*t^2.914 + t^2.957 + t^3. + t^3.257 + t^4.221 + t^4.307 + 2*t^4.393 + t^4.479 + 2*t^4.564 + t^4.65 + t^4.736 + t^4.907 + 2*t^5.657 + 3*t^5.743 + 2*t^5.786 + 3*t^5.829 + 2*t^5.871 + t^5.914 + t^5.957 - 3*t^6. - t^4.479/y - t^4.479*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 |
---|---|---|---|---|---|---|---|---|---|
937 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}^{2}$ | 0.6921 | 0.8476 | 0.8165 | [M:[1.0, 0.9903, 1.0097, 0.9807, 1.0193], q:[0.5048, 0.4952], qb:[0.4855, 0.5242], phi:[0.4976]] | t^2.942 + t^2.971 + t^2.985 + t^3. + t^3.029 + t^3.058 + t^3.087 + t^4.406 + t^4.435 + 2*t^4.464 + t^4.493 + 2*t^4.522 + t^4.551 + t^4.58 + t^4.638 + t^5.927 + t^5.956 + t^5.971 + t^5.985 - t^6. - t^4.493/y - t^4.493*y | detail |