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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46312 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ | 0.6177 | 0.7659 | 0.8065 | [M:[0.7433, 0.8717, 1.0, 0.8717], q:[1.0067, 0.6217], qb:[0.5067, 0.3783], phi:[0.3717]] | [M:[[-2, -2], [-3, 3], [0, 0], [1, -5]], q:[[1, 4], [0, -3]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.23 + 2*t^2.615 + t^2.655 + t^3. + 2*t^4.155 + 3*t^4.46 + t^4.54 + 4*t^4.845 + 3*t^4.885 + 4*t^5.23 + 2*t^5.27 + t^5.31 + t^5.655 - 2*t^6. - t^6.345 + 2*t^6.385 + 4*t^6.69 - 2*t^6.73 + 4*t^6.77 + 2*t^6.81 + 6*t^7.075 + 3*t^7.115 + 2*t^7.155 + t^7.195 + 7*t^7.46 + 4*t^7.5 + t^7.54 + 2*t^7.845 + 3*t^7.885 + t^7.965 - 5*t^8.23 - 2*t^8.27 + 3*t^8.31 - t^8.575 - 4*t^8.615 - 4*t^8.655 + 2*t^8.695 + 5*t^8.92 - 4*t^8.96 - t^4.115/y - (2*t^6.345)/y - (2*t^6.73)/y + t^7.46/y + (2*t^7.5)/y + (4*t^7.845)/y + (4*t^7.885)/y + (3*t^8.23)/y + (2*t^8.27)/y - (3*t^8.575)/y + (2*t^8.615)/y + t^8.655/y - (4*t^8.96)/y - t^4.115*y - 2*t^6.345*y - 2*t^6.73*y + t^7.46*y + 2*t^7.5*y + 4*t^7.845*y + 4*t^7.885*y + 3*t^8.23*y + 2*t^8.27*y - 3*t^8.575*y + 2*t^8.615*y + t^8.655*y - 4*t^8.96*y | (2*t^2.23)/(g1^2*g2^2) + (g1*t^2.615)/g2^5 + (g2^3*t^2.615)/g1^3 + g1^3*g2^3*t^2.655 + t^3. + (g1^5*t^4.155)/g2 + g1*g2^7*t^4.155 + (3*t^4.46)/(g1^4*g2^4) + g1^4*g2^4*t^4.54 + (2*t^4.845)/(g1*g2^7) + (2*g2*t^4.845)/g1^5 + 3*g1*g2*t^4.885 + (g1^2*t^5.23)/g2^10 + (2*t^5.23)/(g1^2*g2^2) + (g2^6*t^5.23)/g1^6 + (g1^4*t^5.27)/g2^2 + g2^6*t^5.27 + g1^6*g2^6*t^5.31 + g1^3*g2^3*t^5.655 - 2*t^6. - t^6.345/(g1^3*g2^3) + (g1^3*t^6.385)/g2^3 + (g2^5*t^6.385)/g1 + (4*t^6.69)/(g1^6*g2^6) - t^6.73/g2^6 - (g2^2*t^6.73)/g1^4 + (g1^6*t^6.77)/g2^6 + 2*g1^2*g2^2*t^6.77 + (g2^10*t^6.77)/g1^2 + g1^8*g2^2*t^6.81 + g1^4*g2^10*t^6.81 + (3*t^7.075)/(g1^3*g2^9) + (3*t^7.075)/(g1^7*g2) + (3*t^7.115)/(g1*g2) + (g1^5*t^7.155)/g2 + g1*g2^7*t^7.155 + g1^7*g2^7*t^7.195 + (2*t^7.46)/g2^12 + (3*t^7.46)/(g1^4*g2^4) + (2*g2^4*t^7.46)/g1^8 + (2*g1^2*t^7.5)/g2^4 + (2*g2^4*t^7.5)/g1^2 + g1^4*g2^4*t^7.54 + (g1^3*t^7.845)/g2^15 + (g2^9*t^7.845)/g1^9 + (g1^5*t^7.885)/g2^7 + g1*g2*t^7.885 + (g2^9*t^7.885)/g1^3 + g1^9*g2^9*t^7.965 - (5*t^8.23)/(g1^2*g2^2) - (g1^4*t^8.27)/g2^2 - g2^6*t^8.27 + (g1^10*t^8.31)/g2^2 + g1^6*g2^6*t^8.31 + g1^2*g2^14*t^8.31 - t^8.575/(g1^5*g2^5) - (2*g1*t^8.615)/g2^5 - (2*g2^3*t^8.615)/g1^3 - 4*g1^3*g2^3*t^8.655 + g1^9*g2^3*t^8.695 + g1^5*g2^11*t^8.695 + (5*t^8.92)/(g1^8*g2^8) - (2*t^8.96)/g1^6 - (2*t^8.96)/(g1^2*g2^8) - t^4.115/(g1*g2*y) - (2*t^6.345)/(g1^3*g2^3*y) - t^6.73/(g2^6*y) - (g2^2*t^6.73)/(g1^4*y) + t^7.46/(g1^4*g2^4*y) + (g1^2*t^7.5)/(g2^4*y) + (g2^4*t^7.5)/(g1^2*y) + (2*t^7.845)/(g1*g2^7*y) + (2*g2*t^7.845)/(g1^5*y) + (4*g1*g2*t^7.885)/y + (3*t^8.23)/(g1^2*g2^2*y) + (g1^4*t^8.27)/(g2^2*y) + (g2^6*t^8.27)/y - (3*t^8.575)/(g1^5*g2^5*y) + (g1*t^8.615)/(g2^5*y) + (g2^3*t^8.615)/(g1^3*y) + (g1^3*g2^3*t^8.655)/y - (2*t^8.96)/(g1^6*y) - (2*t^8.96)/(g1^2*g2^8*y) - (t^4.115*y)/(g1*g2) - (2*t^6.345*y)/(g1^3*g2^3) - (t^6.73*y)/g2^6 - (g2^2*t^6.73*y)/g1^4 + (t^7.46*y)/(g1^4*g2^4) + (g1^2*t^7.5*y)/g2^4 + (g2^4*t^7.5*y)/g1^2 + (2*t^7.845*y)/(g1*g2^7) + (2*g2*t^7.845*y)/g1^5 + 4*g1*g2*t^7.885*y + (3*t^8.23*y)/(g1^2*g2^2) + (g1^4*t^8.27*y)/g2^2 + g2^6*t^8.27*y - (3*t^8.575*y)/(g1^5*g2^5) + (g1*t^8.615*y)/g2^5 + (g2^3*t^8.615*y)/g1^3 + g1^3*g2^3*t^8.655*y - (2*t^8.96*y)/g1^6 - (2*t^8.96*y)/(g1^2*g2^8) |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
45963 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6898 | 0.8768 | 0.7867 | [M:[0.6991, 0.6887, 0.6783, 0.6887], q:[0.8096, 0.8408], qb:[0.4704, 0.4809], phi:[0.3496]] | t^2.035 + 2*t^2.066 + 2*t^2.097 + t^2.854 + t^3.84 + 2*t^3.871 + t^4.07 + 2*t^4.101 + 5*t^4.132 + 4*t^4.164 + 3*t^4.195 + t^4.889 + 2*t^4.92 + 3*t^4.951 + t^5.708 + t^5.875 + 4*t^5.906 + 5*t^5.938 + 2*t^5.969 - 3*t^6. - t^4.049/y - t^4.049*y | detail |