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 |
---|---|---|---|---|---|---|---|---|---|
1954 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.7356 | 0.9231 | 0.7969 | [M:[0.9431, 0.6737, 0.6737, 0.9431, 0.6737, 1.0569, 1.0569], q:[0.5284, 0.5284], qb:[0.7979, 0.5284], phi:[0.4042]] | [M:[[0, -7, 1], [0, -1, -1], [1, -8, 1], [-1, 0, -1], [-1, -1, 0], [0, 7, -1], [1, 0, 1]], q:[[-1, 7, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, -2, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{5}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -9 | 3*t^2.021 + t^2.425 + 3*t^3.171 + 6*t^4.042 + 6*t^4.383 + 3*t^4.446 + t^4.85 + 9*t^5.192 + 3*t^5.596 - 9*t^6. + 10*t^6.063 + 6*t^6.341 + 15*t^6.404 + 6*t^6.467 + 3*t^6.808 + 3*t^6.871 - t^7.15 + 10*t^7.213 + t^7.276 + 15*t^7.554 + 9*t^7.617 - 6*t^7.958 - 24*t^8.021 + 15*t^8.084 + 10*t^8.362 + 18*t^8.425 + 10*t^8.488 + 18*t^8.766 + 12*t^8.829 + 6*t^8.892 - t^4.213/y - (3*t^6.234)/y - t^6.638/y + (3*t^7.042)/y + (3*t^7.446)/y + t^7.787/y + (12*t^8.192)/y - (6*t^8.255)/y + (3*t^8.596)/y - (3*t^8.659)/y - t^4.213*y - 3*t^6.234*y - t^6.638*y + 3*t^7.042*y + 3*t^7.446*y + t^7.787*y + 12*t^8.192*y - 6*t^8.255*y + 3*t^8.596*y - 3*t^8.659*y | t^2.021/(g1*g2) + t^2.021/(g2*g3) + (g1*g3*t^2.021)/g2^8 + t^2.425/g2^4 + (g2^7*t^3.171)/g1 + (g2^7*t^3.171)/g3 + g1*g3*t^3.171 + (g1*t^4.042)/g2^9 + t^4.042/(g1^2*g2^2) + t^4.042/(g2^2*g3^2) + t^4.042/(g1*g2^2*g3) + (g3*t^4.042)/g2^9 + (g1^2*g3^2*t^4.042)/g2^16 + (g1^2*t^4.383)/g2^2 + (g2^5*t^4.383)/g1 + (g2^12*t^4.383)/(g1^2*g3^2) + (g2^5*t^4.383)/g3 + (g1*g3*t^4.383)/g2^2 + (g3^2*t^4.383)/g2^2 + t^4.446/(g1*g2^5) + t^4.446/(g2^5*g3) + (g1*g3*t^4.446)/g2^12 + t^4.85/g2^8 + (2*g1*t^5.192)/g2 + (g2^6*t^5.192)/g1^2 + (g2^6*t^5.192)/g3^2 + (2*g2^6*t^5.192)/(g1*g3) + (2*g3*t^5.192)/g2 + (g1^2*g3^2*t^5.192)/g2^8 + (g2^3*t^5.596)/g1 + (g2^3*t^5.596)/g3 + (g1*g3*t^5.596)/g2^4 - 3*t^6. - (g2^7*t^6.)/(g1*g3^2) - (g1*t^6.)/g3 - (g2^7*t^6.)/(g1^2*g3) - (g3*t^6.)/g1 - (g1^2*g3*t^6.)/g2^7 - (g1*g3^2*t^6.)/g2^7 + t^6.063/g2^10 + t^6.063/(g1^3*g2^3) + t^6.063/(g2^3*g3^3) + t^6.063/(g1*g2^3*g3^2) + (g1*t^6.063)/(g2^10*g3) + t^6.063/(g1^2*g2^3*g3) + (g1^2*g3*t^6.063)/g2^17 + (g3*t^6.063)/(g1*g2^10) + (g1*g3^2*t^6.063)/g2^17 + (g1^3*g3^3*t^6.063)/g2^24 + g1*g2^7*t^6.341 + (g2^14*t^6.341)/g1^2 + (g2^14*t^6.341)/g3^2 + (g2^14*t^6.341)/(g1*g3) + g2^7*g3*t^6.341 + g1^2*g3^2*t^6.341 + (2*g1*t^6.404)/g2^3 + (g2^4*t^6.404)/g1^2 + (g2^11*t^6.404)/(g1^2*g3^3) + (g2^4*t^6.404)/g3^2 + (g2^11*t^6.404)/(g1^3*g3^2) + (g1^2*t^6.404)/(g2^3*g3) + (2*g2^4*t^6.404)/(g1*g3) + (g1^3*g3*t^6.404)/g2^10 + (2*g3*t^6.404)/g2^3 + (g1^2*g3^2*t^6.404)/g2^10 + (g3^2*t^6.404)/(g1*g2^3) + (g1*g3^3*t^6.404)/g2^10 + (g1*t^6.467)/g2^13 + t^6.467/(g1^2*g2^6) + t^6.467/(g2^6*g3^2) + t^6.467/(g1*g2^6*g3) + (g3*t^6.467)/g2^13 + (g1^2*g3^2*t^6.467)/g2^20 + (g1^2*t^6.808)/g2^6 + (g2^8*t^6.808)/(g1^2*g3^2) + (g3^2*t^6.808)/g2^6 + t^6.871/(g1*g2^9) + t^6.871/(g2^9*g3) + (g1*g3*t^6.871)/g2^16 - g2^8*t^7.15 + t^7.213/g2^2 + (g2^5*t^7.213)/g1^3 + (g2^5*t^7.213)/g3^3 + (g2^5*t^7.213)/(g1*g3^2) + (g1*t^7.213)/(g2^2*g3) + (g2^5*t^7.213)/(g1^2*g3) + (g1^2*g3*t^7.213)/g2^9 + (g3*t^7.213)/(g1*g2^2) + (g1*g3^2*t^7.213)/g2^9 + (g1^3*g3^3*t^7.213)/g2^16 + t^7.276/g2^12 + 2*g1*g2^5*t^7.554 + (g2^12*t^7.554)/g1^2 + (g2^19*t^7.554)/(g1^2*g3^3) + (g2^12*t^7.554)/g3^2 + (g2^19*t^7.554)/(g1^3*g3^2) + (g1^2*g2^5*t^7.554)/g3 + (2*g2^12*t^7.554)/(g1*g3) + (g1^3*g3*t^7.554)/g2^2 + 2*g2^5*g3*t^7.554 + (g1^2*g3^2*t^7.554)/g2^2 + (g2^5*g3^2*t^7.554)/g1 + (g1*g3^3*t^7.554)/g2^2 + (2*g1*t^7.617)/g2^5 + (g2^2*t^7.617)/g1^2 + (g2^2*t^7.617)/g3^2 + (2*g2^2*t^7.617)/(g1*g3) + (2*g3*t^7.617)/g2^5 + (g1^2*g3^2*t^7.617)/g2^12 - g1^2*g2^2*t^7.958 - (g2^9*t^7.958)/g1 - (g2^16*t^7.958)/(g1^2*g3^2) - (g2^9*t^7.958)/g3 - g1*g2^2*g3*t^7.958 - g2^2*g3^2*t^7.958 - (2*g1^2*t^8.021)/g2^8 - (4*t^8.021)/(g1*g2) - (g2^6*t^8.021)/(g1*g3^3) - (g1*t^8.021)/(g2*g3^2) - (2*g2^6*t^8.021)/(g1^2*g3^2) - (4*t^8.021)/(g2*g3) - (g2^6*t^8.021)/(g1^3*g3) - (4*g1*g3*t^8.021)/g2^8 - (g3*t^8.021)/(g1^2*g2) - (g1^3*g3^2*t^8.021)/g2^15 - (2*g3^2*t^8.021)/g2^8 - (g1^2*g3^3*t^8.021)/g2^15 + (g1^2*t^8.084)/g2^18 + t^8.084/(g1*g2^11) + t^8.084/(g1^4*g2^4) + t^8.084/(g2^4*g3^4) + t^8.084/(g1*g2^4*g3^3) + (g1*t^8.084)/(g2^11*g3^2) + t^8.084/(g1^2*g2^4*g3^2) + t^8.084/(g2^11*g3) + t^8.084/(g1^3*g2^4*g3) + (g1*g3*t^8.084)/g2^18 + (g3*t^8.084)/(g1^2*g2^11) + (g1^3*g3^2*t^8.084)/g2^25 + (g3^2*t^8.084)/g2^18 + (g1^2*g3^3*t^8.084)/g2^25 + (g1^4*g3^4*t^8.084)/g2^32 + g2^6*t^8.362 + (g2^13*t^8.362)/g1^3 + (g2^13*t^8.362)/g3^3 + (g2^13*t^8.362)/(g1*g3^2) + (g1*g2^6*t^8.362)/g3 + (g2^13*t^8.362)/(g1^2*g3) + (g1^2*g3*t^8.362)/g2 + (g2^6*g3*t^8.362)/g1 + (g1*g3^2*t^8.362)/g2 + (g1^3*g3^3*t^8.362)/g2^8 + (g1^3*t^8.425)/g2^11 + (g2^3*t^8.425)/g1^3 + (g2^10*t^8.425)/(g1^2*g3^4) + (g2^3*t^8.425)/g3^3 + (g2^10*t^8.425)/(g1^3*g3^3) + (g1^2*t^8.425)/(g2^4*g3^2) + (g2^3*t^8.425)/(g1*g3^2) + (g2^10*t^8.425)/(g1^4*g3^2) + (g1*t^8.425)/(g2^4*g3) + (g2^3*t^8.425)/(g1^2*g3) + (g1^2*g3*t^8.425)/g2^11 + (g3*t^8.425)/(g1*g2^4) + (g1^4*g3^2*t^8.425)/g2^18 + (g1*g3^2*t^8.425)/g2^11 + (g3^2*t^8.425)/(g1^2*g2^4) + (g1^3*g3^3*t^8.425)/g2^18 + (g3^3*t^8.425)/g2^11 + (g1^2*g3^4*t^8.425)/g2^18 + t^8.488/g2^14 + t^8.488/(g1^3*g2^7) + t^8.488/(g2^7*g3^3) + t^8.488/(g1*g2^7*g3^2) + (g1*t^8.488)/(g2^14*g3) + t^8.488/(g1^2*g2^7*g3) + (g1^2*g3*t^8.488)/g2^21 + (g3*t^8.488)/(g1*g2^14) + (g1*g3^2*t^8.488)/g2^21 + (g1^3*g3^3*t^8.488)/g2^28 + (g1^4*t^8.766)/g2^4 + g1*g2^3*t^8.766 + (2*g2^10*t^8.766)/g1^2 + (g2^24*t^8.766)/(g1^4*g3^4) + (g2^17*t^8.766)/(g1^2*g3^3) + (2*g2^10*t^8.766)/g3^2 + (g2^17*t^8.766)/(g1^3*g3^2) + (g1^2*g2^3*t^8.766)/g3 + (g2^10*t^8.766)/(g1*g3) + (g1^3*g3*t^8.766)/g2^4 + g2^3*g3*t^8.766 + (2*g1^2*g3^2*t^8.766)/g2^4 + (g2^3*g3^2*t^8.766)/g1 + (g1*g3^3*t^8.766)/g2^4 + (g3^4*t^8.766)/g2^4 + t^8.829/g1^2 + (g1*t^8.829)/g2^7 + (g2^7*t^8.829)/(g1^2*g3^3) + t^8.829/g3^2 + (g2^7*t^8.829)/(g1^3*g3^2) + t^8.829/(g1*g3) + (g1^2*t^8.829)/(g2^7*g3) + (g1^3*g3*t^8.829)/g2^14 + (g3*t^8.829)/g2^7 + (g1^2*g3^2*t^8.829)/g2^14 + (g3^2*t^8.829)/(g1*g2^7) + (g1*g3^3*t^8.829)/g2^14 + (g1*t^8.892)/g2^17 + t^8.892/(g1^2*g2^10) + t^8.892/(g2^10*g3^2) + t^8.892/(g1*g2^10*g3) + (g3*t^8.892)/g2^17 + (g1^2*g3^2*t^8.892)/g2^24 - t^4.213/(g2^2*y) - t^6.234/(g1*g2^3*y) - t^6.234/(g2^3*g3*y) - (g1*g3*t^6.234)/(g2^10*y) - t^6.638/(g2^6*y) + (g1*t^7.042)/(g2^9*y) + t^7.042/(g1*g2^2*g3*y) + (g3*t^7.042)/(g2^9*y) + t^7.446/(g1*g2^5*y) + t^7.446/(g2^5*g3*y) + (g1*g3*t^7.446)/(g2^12*y) + (g2^2*t^7.787)/y + (3*g1*t^8.192)/(g2*y) + (g2^6*t^8.192)/(g1^2*y) + (g2^6*t^8.192)/(g3^2*y) + (3*g2^6*t^8.192)/(g1*g3*y) + (3*g3*t^8.192)/(g2*y) + (g1^2*g3^2*t^8.192)/(g2^8*y) - (g1*t^8.255)/(g2^11*y) - t^8.255/(g1^2*g2^4*y) - t^8.255/(g2^4*g3^2*y) - t^8.255/(g1*g2^4*g3*y) - (g3*t^8.255)/(g2^11*y) - (g1^2*g3^2*t^8.255)/(g2^18*y) + (g2^3*t^8.596)/(g1*y) + (g2^3*t^8.596)/(g3*y) + (g1*g3*t^8.596)/(g2^4*y) - t^8.659/(g1*g2^7*y) - t^8.659/(g2^7*g3*y) - (g1*g3*t^8.659)/(g2^14*y) - (t^4.213*y)/g2^2 - (t^6.234*y)/(g1*g2^3) - (t^6.234*y)/(g2^3*g3) - (g1*g3*t^6.234*y)/g2^10 - (t^6.638*y)/g2^6 + (g1*t^7.042*y)/g2^9 + (t^7.042*y)/(g1*g2^2*g3) + (g3*t^7.042*y)/g2^9 + (t^7.446*y)/(g1*g2^5) + (t^7.446*y)/(g2^5*g3) + (g1*g3*t^7.446*y)/g2^12 + g2^2*t^7.787*y + (3*g1*t^8.192*y)/g2 + (g2^6*t^8.192*y)/g1^2 + (g2^6*t^8.192*y)/g3^2 + (3*g2^6*t^8.192*y)/(g1*g3) + (3*g3*t^8.192*y)/g2 + (g1^2*g3^2*t^8.192*y)/g2^8 - (g1*t^8.255*y)/g2^11 - (t^8.255*y)/(g1^2*g2^4) - (t^8.255*y)/(g2^4*g3^2) - (t^8.255*y)/(g1*g2^4*g3) - (g3*t^8.255*y)/g2^11 - (g1^2*g3^2*t^8.255*y)/g2^18 + (g2^3*t^8.596*y)/g1 + (g2^3*t^8.596*y)/g3 + (g1*g3*t^8.596*y)/g2^4 - (t^8.659*y)/(g1*g2^7) - (t^8.659*y)/(g2^7*g3) - (g1*g3*t^8.659*y)/g2^14 |
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 |
---|---|---|---|---|---|---|---|---|
3003 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6271 | 0.8146 | 0.7698 | [M:[0.9334, 1.0, 0.7084, 1.225, 0.7084, 1.0666, 0.775], q:[0.5333, 0.5333], qb:[0.7583, 0.2417], phi:[0.4834]] | 2*t^2.125 + 2*t^2.325 + 2*t^2.9 + t^3. + t^3.2 + 2*t^3.775 + 3*t^4.25 + 4*t^4.45 + 6*t^4.65 + 4*t^5.025 + 4*t^5.225 + 4*t^5.325 + 2*t^5.525 + 3*t^5.8 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
614 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7577 | 0.9271 | 0.8174 | [M:[0.8388, 0.7655, 0.7655, 0.8388, 0.7655, 1.1612, 1.1612], q:[0.5806, 0.5806], qb:[0.6539, 0.5806], phi:[0.4011]] | 3*t^2.296 + t^2.406 + 3*t^3.484 + 6*t^4.593 + 6*t^4.687 + 3*t^4.703 + t^4.813 + 3*t^4.907 + t^5.127 + 6*t^5.78 + 3*t^5.89 - 10*t^6. - t^4.203/y - t^4.203*y | detail |