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 |
---|---|---|---|---|---|---|---|---|---|
55375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6686 | 0.8353 | 0.8005 | [M:[0.9278, 1.1423, 1.0955, 0.8577, 0.8811, 0.69], q:[0.5127, 0.5595], qb:[0.345, 0.7739], phi:[0.4522]] | [M:[[-10], [-8], [4], [8], [2], [-6]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.07 + t^2.573 + t^2.643 + t^2.713 + t^2.784 + t^3.287 + t^3.427 + t^3.86 + t^4. + t^4.07 + t^4.14 + t^4.433 + t^4.573 + t^4.643 + 2*t^4.713 + t^4.784 + t^4.854 + t^5.146 + t^5.216 + 2*t^5.287 + 2*t^5.357 + 2*t^5.427 + t^5.497 + t^5.567 + 2*t^5.93 - t^6. + 2*t^6.07 + t^6.14 + 2*t^6.21 + t^6.433 + t^6.503 + t^6.573 + t^6.643 + t^6.713 + 3*t^6.784 + 2*t^6.854 + t^6.924 + t^7.006 + t^7.076 + 2*t^7.146 + t^7.216 + 2*t^7.287 + 2*t^7.357 + 3*t^7.427 + 3*t^7.497 + t^7.567 + t^7.637 + 2*t^7.72 + 2*t^7.86 + t^7.93 + 3*t^8. + 4*t^8.14 + 2*t^8.21 + 2*t^8.28 + t^8.293 + t^8.351 + t^8.433 + t^8.573 - 2*t^8.643 + t^8.713 - t^8.784 + 4*t^8.854 + t^8.866 + 2*t^8.924 + 2*t^8.994 - t^4.357/y - t^6.427/y - t^7./y - t^7.14/y + t^7.573/y + t^7.643/y + (2*t^7.713)/y + t^7.784/y + t^7.854/y + t^8.216/y + (2*t^8.287)/y + (3*t^8.357)/y + t^8.427/y + t^8.497/y + t^8.86/y + (2*t^8.93)/y - t^4.357*y - t^6.427*y - t^7.*y - t^7.14*y + t^7.573*y + t^7.643*y + 2*t^7.713*y + t^7.784*y + t^7.854*y + t^8.216*y + 2*t^8.287*y + 3*t^8.357*y + t^8.427*y + t^8.497*y + t^8.86*y + 2*t^8.93*y | t^2.07/g1^6 + g1^8*t^2.573 + g1^2*t^2.643 + t^2.713/g1^4 + t^2.784/g1^10 + g1^4*t^3.287 + t^3.427/g1^8 + g1^12*t^3.86 + t^4. + t^4.07/g1^6 + t^4.14/g1^12 + g1^20*t^4.433 + g1^8*t^4.573 + g1^2*t^4.643 + (2*t^4.713)/g1^4 + t^4.784/g1^10 + t^4.854/g1^16 + g1^16*t^5.146 + g1^10*t^5.216 + 2*g1^4*t^5.287 + (2*t^5.357)/g1^2 + (2*t^5.427)/g1^8 + t^5.497/g1^14 + t^5.567/g1^20 + 2*g1^6*t^5.93 - t^6. + (2*t^6.07)/g1^6 + t^6.14/g1^12 + (2*t^6.21)/g1^18 + g1^20*t^6.433 + g1^14*t^6.503 + g1^8*t^6.573 + g1^2*t^6.643 + t^6.713/g1^4 + (3*t^6.784)/g1^10 + (2*t^6.854)/g1^16 + t^6.924/g1^22 + g1^28*t^7.006 + g1^22*t^7.076 + 2*g1^16*t^7.146 + g1^10*t^7.216 + 2*g1^4*t^7.287 + (2*t^7.357)/g1^2 + (3*t^7.427)/g1^8 + (3*t^7.497)/g1^14 + t^7.567/g1^20 + t^7.637/g1^26 + 2*g1^24*t^7.72 + 2*g1^12*t^7.86 + g1^6*t^7.93 + 3*t^8. + (4*t^8.14)/g1^12 + (2*t^8.21)/g1^18 + (2*t^8.28)/g1^24 + g1^32*t^8.293 + t^8.351/g1^30 + g1^20*t^8.433 + g1^8*t^8.573 - 2*g1^2*t^8.643 + t^8.713/g1^4 - t^8.784/g1^10 + (4*t^8.854)/g1^16 + g1^40*t^8.866 + (2*t^8.924)/g1^22 + (2*t^8.994)/g1^28 - t^4.357/(g1^2*y) - t^6.427/(g1^8*y) - t^7./y - t^7.14/(g1^12*y) + (g1^8*t^7.573)/y + (g1^2*t^7.643)/y + (2*t^7.713)/(g1^4*y) + t^7.784/(g1^10*y) + t^7.854/(g1^16*y) + (g1^10*t^8.216)/y + (2*g1^4*t^8.287)/y + (3*t^8.357)/(g1^2*y) + t^8.427/(g1^8*y) + t^8.497/(g1^14*y) + (g1^12*t^8.86)/y + (2*g1^6*t^8.93)/y - (t^4.357*y)/g1^2 - (t^6.427*y)/g1^8 - t^7.*y - (t^7.14*y)/g1^12 + g1^8*t^7.573*y + g1^2*t^7.643*y + (2*t^7.713*y)/g1^4 + (t^7.784*y)/g1^10 + (t^7.854*y)/g1^16 + g1^10*t^8.216*y + 2*g1^4*t^8.287*y + (3*t^8.357*y)/g1^2 + (t^8.427*y)/g1^8 + (t^8.497*y)/g1^14 + g1^12*t^8.86*y + 2*g1^6*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
56988 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6635 | 0.8279 | 0.8015 | [M:[0.9627, 1.1701, 1.0816, 0.8299, 0.8741, 0.7109, 1.0373], q:[0.4744, 0.5629], qb:[0.3555, 0.7704], phi:[0.4592]] | t^2.133 + t^2.49 + t^2.622 + t^2.755 + t^3.112 + t^3.245 + t^3.51 + t^3.734 + t^4. + t^4.133 + t^4.224 + t^4.266 + t^4.49 + t^4.622 + 2*t^4.755 + t^4.888 + t^4.979 + t^5.112 + 3*t^5.245 + t^5.378 + t^5.51 + t^5.602 + t^5.734 + 3*t^5.867 - t^6. - t^4.378/y - t^4.378*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 |
---|---|---|---|---|---|---|---|---|---|
46963 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.648 | 0.7954 | 0.8147 | [M:[0.931, 1.1448, 1.0943, 0.8552, 0.8805], q:[0.5093, 0.5598], qb:[0.346, 0.7736], phi:[0.4529]] | t^2.566 + t^2.641 + t^2.717 + t^2.793 + t^3.283 + t^3.434 + t^3.849 + t^3.924 + t^4. + t^4.076 + t^4.414 + t^4.566 + t^4.717 + t^5.131 + t^5.207 + 2*t^5.283 + t^5.359 + 2*t^5.434 + t^5.586 + t^5.924 - t^6. - t^4.359/y - t^4.359*y | detail |