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 |
---|---|---|---|---|---|---|---|---|---|
3405 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6327 | 0.7781 | 0.8131 | [X:[1.6123], M:[0.7448, 0.8061, 0.3877, 1.1632, 0.8368, 1.2552, 0.8061], q:[0.8521, 0.4031], qb:[0.7601, 0.4337], phi:[0.3877]] | [X:[[0, 1]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3], [-2, 10], [2, -5]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | t^2.326 + 2*t^2.418 + t^2.51 + t^3.49 + t^3.674 + 2*t^3.766 + t^3.858 + t^4.653 + 2*t^4.745 + 5*t^4.837 + 2*t^4.929 + t^5.021 - t^6. + 2*t^6.092 + 5*t^6.184 + 4*t^6.276 + t^6.368 + t^6.979 + 3*t^7.163 + 6*t^7.255 + 3*t^7.347 + 2*t^7.439 + 4*t^7.531 + 2*t^7.623 + t^7.715 - 2*t^8.234 - 2*t^8.326 - 6*t^8.418 + t^8.51 + 8*t^8.602 + 8*t^8.694 + 4*t^8.786 + t^8.878 - t^4.163/y - t^6.49/y - (2*t^6.582)/y + (4*t^7.745)/y + (3*t^7.837)/y + (2*t^7.929)/y - t^4.163*y - t^6.49*y - 2*t^6.582*y + 4*t^7.745*y + 3*t^7.837*y + 2*t^7.929*y | t^2.326/g2^2 + (g1^2*t^2.418)/g2^5 + (g2^6*t^2.418)/g1^2 + g2^3*t^2.51 + t^3.49/g2^3 + g2^2*t^3.674 + (g1^2*t^3.766)/g2 + (g2^10*t^3.766)/g1^2 + g2^7*t^3.858 + t^4.653/g2^4 + (g1^2*t^4.745)/g2^7 + (g2^4*t^4.745)/g1^2 + (g1^4*t^4.837)/g2^10 + 3*g2*t^4.837 + (g2^12*t^4.837)/g1^4 + (g1^2*t^4.929)/g2^2 + (g2^9*t^4.929)/g1^2 + g2^6*t^5.021 - t^6. + (g1^2*t^6.092)/g2^3 + (g2^8*t^6.092)/g1^2 + (g1^4*t^6.184)/g2^6 + 3*g2^5*t^6.184 + (g2^16*t^6.184)/g1^4 + 2*g1^2*g2^2*t^6.276 + (2*g2^13*t^6.276)/g1^2 + g2^10*t^6.368 + t^6.979/g2^6 + (g1^4*t^7.163)/g2^12 + t^7.163/g2 + (g2^10*t^7.163)/g1^4 + (g1^6*t^7.255)/g2^15 + (2*g1^2*t^7.255)/g2^4 + (2*g2^7*t^7.255)/g1^2 + (g2^18*t^7.255)/g1^6 + (g1^4*t^7.347)/g2^7 + g2^4*t^7.347 + (g2^15*t^7.347)/g1^4 + g1^2*g2*t^7.439 + (g2^12*t^7.439)/g1^2 + (g1^4*t^7.531)/g2^2 + 2*g2^9*t^7.531 + (g2^20*t^7.531)/g1^4 + g1^2*g2^6*t^7.623 + (g2^17*t^7.623)/g1^2 + g2^14*t^7.715 - (g1^2*t^8.234)/g2^10 - (g2*t^8.234)/g1^2 - (2*t^8.326)/g2^2 - (3*g1^2*t^8.418)/g2^5 - (3*g2^6*t^8.418)/g1^2 + (g1^4*t^8.51)/g2^8 - g2^3*t^8.51 + (g2^14*t^8.51)/g1^4 + 3*g1^2*t^8.602 + (g1^6*t^8.602)/g2^11 + (3*g2^11*t^8.602)/g1^2 + (g2^22*t^8.602)/g1^6 + (2*g1^4*t^8.694)/g2^3 + 4*g2^8*t^8.694 + (2*g2^19*t^8.694)/g1^4 + 2*g1^2*g2^5*t^8.786 + (2*g2^16*t^8.786)/g1^2 + g2^13*t^8.878 - t^4.163/(g2*y) - t^6.49/(g2^3*y) - (g1^2*t^6.582)/(g2^6*y) - (g2^5*t^6.582)/(g1^2*y) + (2*g1^2*t^7.745)/(g2^7*y) + (2*g2^4*t^7.745)/(g1^2*y) + (3*g2*t^7.837)/y + (g1^2*t^7.929)/(g2^2*y) + (g2^9*t^7.929)/(g1^2*y) - (t^4.163*y)/g2 - (t^6.49*y)/g2^3 - (g1^2*t^6.582*y)/g2^6 - (g2^5*t^6.582*y)/g1^2 + (2*g1^2*t^7.745*y)/g2^7 + (2*g2^4*t^7.745*y)/g1^2 + 3*g2*t^7.837*y + (g1^2*t^7.929*y)/g2^2 + (g2^9*t^7.929*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 |
---|---|---|---|---|---|---|---|---|
3891 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6507 | 0.8095 | 0.8039 | [X:[1.6151], M:[0.7322, 0.8075, 0.3849, 1.1548, 0.8452, 1.2678, 0.8075, 0.7699], q:[0.864, 0.4038], qb:[0.7511, 0.4414], phi:[0.3849]] | 2*t^2.31 + 2*t^2.423 + t^2.536 + t^3.464 + 2*t^3.803 + t^3.916 + 3*t^4.619 + 4*t^4.732 + 6*t^4.845 + 2*t^4.958 + t^5.071 + t^5.774 - 2*t^6. - t^4.155/y - t^4.155*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 |
---|---|---|---|---|---|---|---|---|---|
2845 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{6}$ | 0.6178 | 0.753 | 0.8204 | [X:[1.6134], M:[0.7771, 0.7693, 0.3866, 1.1598, 0.8402, 1.2229], q:[0.8383, 0.3846], qb:[0.7752, 0.4556], phi:[0.3866]] | t^2.308 + t^2.32 + t^2.521 + t^3.468 + t^3.479 + t^3.669 + t^3.68 + t^3.881 + t^3.893 + t^4.616 + t^4.627 + t^4.639 + t^4.828 + 2*t^4.84 + t^5.041 + t^5.775 + t^5.787 + t^5.976 + 2*t^5.988 - t^6. - t^4.16/y - t^4.16*y | detail |