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 |
---|---|---|---|---|---|---|---|---|---|
3986 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6765 | 0.8454 | 0.8002 | [X:[1.3496], M:[1.0516, 1.1003, 1.149, 0.9484, 0.6504, 0.851, 0.6991, 0.7478], q:[0.7751, 0.3739], qb:[0.5745, 0.4772], phi:[0.4499]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [12], [30]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$ | ${}$ | -1 | t^2.097 + t^2.243 + t^2.553 + t^2.845 + t^3.155 + t^3.301 + t^3.447 + t^3.593 + t^4.049 + 2*t^4.195 + t^4.213 + t^4.341 + t^4.487 + t^4.504 + t^4.65 + 2*t^4.796 + t^4.942 + t^5.088 + t^5.106 + t^5.252 + 2*t^5.398 + 2*t^5.544 + 2*t^5.69 + t^5.836 + t^5.854 - t^6. + 2*t^6.146 + 3*t^6.292 + t^6.31 + 3*t^6.438 + t^6.456 + t^6.584 + t^6.602 + t^6.73 + 2*t^6.748 + t^6.766 + 3*t^6.894 + 4*t^7.04 + 2*t^7.186 + t^7.332 + 2*t^7.35 + t^7.367 + 3*t^7.496 + 4*t^7.641 + t^7.659 + 4*t^7.787 + 2*t^7.933 + t^8.079 + t^8.243 + 5*t^8.389 + t^8.407 + t^8.425 + 4*t^8.535 - t^8.553 + 3*t^8.681 + t^8.699 + t^8.717 + t^8.827 + t^8.973 + 4*t^8.991 - t^4.35/y - t^6.447/y - t^6.593/y + t^7.341/y + t^7.65/y + t^7.796/y + t^7.942/y + t^8.088/y + t^8.106/y + (2*t^8.252)/y + (3*t^8.398)/y + t^8.544/y + t^8.69/y + t^8.708/y + t^8.854/y - t^4.35*y - t^6.447*y - t^6.593*y + t^7.341*y + t^7.65*y + t^7.796*y + t^7.942*y + t^8.088*y + t^8.106*y + 2*t^8.252*y + 3*t^8.398*y + t^8.544*y + t^8.69*y + t^8.708*y + t^8.854*y | g1^12*t^2.097 + g1^30*t^2.243 + t^2.553/g1^14 + g1^22*t^2.845 + t^3.155/g1^22 + t^3.301/g1^4 + g1^14*t^3.447 + g1^32*t^3.593 + g1^6*t^4.049 + 2*g1^24*t^4.195 + t^4.213/g1^56 + g1^42*t^4.341 + g1^60*t^4.487 + t^4.504/g1^20 + t^4.65/g1^2 + 2*g1^16*t^4.796 + g1^34*t^4.942 + g1^52*t^5.088 + t^5.106/g1^28 + t^5.252/g1^10 + 2*g1^8*t^5.398 + 2*g1^26*t^5.544 + 2*g1^44*t^5.69 + g1^62*t^5.836 + t^5.854/g1^18 - t^6. + 2*g1^18*t^6.146 + 3*g1^36*t^6.292 + t^6.31/g1^44 + 3*g1^54*t^6.438 + t^6.456/g1^26 + g1^72*t^6.584 + t^6.602/g1^8 + g1^90*t^6.73 + 2*g1^10*t^6.748 + t^6.766/g1^70 + 3*g1^28*t^6.894 + 4*g1^46*t^7.04 + 2*g1^64*t^7.186 + g1^82*t^7.332 + 2*g1^2*t^7.35 + t^7.367/g1^78 + 3*g1^20*t^7.496 + 4*g1^38*t^7.641 + t^7.659/g1^42 + 4*g1^56*t^7.787 + 2*g1^74*t^7.933 + g1^92*t^8.079 + g1^30*t^8.243 + 5*g1^48*t^8.389 + t^8.407/g1^32 + t^8.425/g1^112 + 4*g1^66*t^8.535 - t^8.553/g1^14 + 3*g1^84*t^8.681 + g1^4*t^8.699 + t^8.717/g1^76 + g1^102*t^8.827 + g1^120*t^8.973 + 4*g1^40*t^8.991 - (g1^2*t^4.35)/y - (g1^14*t^6.447)/y - (g1^32*t^6.593)/y + (g1^42*t^7.341)/y + t^7.65/(g1^2*y) + (g1^16*t^7.796)/y + (g1^34*t^7.942)/y + (g1^52*t^8.088)/y + t^8.106/(g1^28*y) + (2*t^8.252)/(g1^10*y) + (3*g1^8*t^8.398)/y + (g1^26*t^8.544)/y + (g1^44*t^8.69)/y + t^8.708/(g1^36*y) + t^8.854/(g1^18*y) - g1^2*t^4.35*y - g1^14*t^6.447*y - g1^32*t^6.593*y + g1^42*t^7.341*y + (t^7.65*y)/g1^2 + g1^16*t^7.796*y + g1^34*t^7.942*y + g1^52*t^8.088*y + (t^8.106*y)/g1^28 + (2*t^8.252*y)/g1^10 + 3*g1^8*t^8.398*y + g1^26*t^8.544*y + g1^44*t^8.69*y + (t^8.708*y)/g1^36 + (t^8.854*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
5513 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6935 | 0.8749 | 0.7927 | [X:[1.3536], M:[1.0367, 1.0976, 1.1585, 0.9633, 0.6464, 0.8415, 0.7073, 0.7681, 0.7806], q:[0.7744, 0.3841], qb:[0.5792, 0.4575], phi:[0.4512]] | t^2.122 + t^2.304 + t^2.342 + t^2.525 + t^2.89 + t^3.11 + t^3.293 + t^3.475 + t^4.061 + t^4.098 + 2*t^4.244 + t^4.426 + 2*t^4.464 + t^4.609 + 2*t^4.646 + t^4.684 + 2*t^4.829 + t^4.867 + t^5.012 + t^5.049 + t^5.194 + 2*t^5.232 + 2*t^5.415 + t^5.452 + 2*t^5.597 + t^5.635 + t^5.78 + 2*t^5.817 - t^6. - t^4.354/y - t^4.354*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 |
---|---|---|---|---|---|---|---|---|---|
1597 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6577 | 0.8109 | 0.8111 | [X:[1.3529], M:[1.0392, 1.098, 1.1569, 0.9608, 0.6471, 0.8431, 0.7059], q:[0.7745, 0.3823], qb:[0.5784, 0.4608], phi:[0.451]] | t^2.118 + t^2.529 + t^2.882 + t^3.118 + t^3.294 + t^3.471 + t^3.647 + t^3.706 + t^4.059 + t^4.118 + 2*t^4.235 + t^4.471 + t^4.647 + t^4.823 + t^5. + t^5.059 + t^5.235 + t^5.412 + t^5.588 + t^5.765 + 2*t^5.824 - t^6. - t^4.353/y - t^4.353*y | detail |