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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6456 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{4}M_{9}$ | 0.6005 | 0.7283 | 0.8245 | [X:[1.4241], M:[1.1204, 0.5759, 0.7723, 0.9241, 1.0759, 1.0, 0.8796, 1.2277, 1.0759], q:[0.5916, 0.288], qb:[0.6361, 0.788], phi:[0.4241]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [0], [-10], [-6], [-2]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{9}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{9}$ | ${}$ | -2 | t^2.545 + t^2.639 + t^3. + 2*t^3.228 + t^3.683 + t^3.911 + t^4.045 + t^4.139 + t^4.272 + t^4.822 + t^5.089 + t^5.183 + t^5.277 + t^5.545 + t^5.639 + t^5.772 + t^5.866 - 2*t^6. - t^6.134 + 2*t^6.228 + t^6.322 - t^6.361 + 2*t^6.455 + t^6.55 + t^6.683 + t^6.777 + 2*t^6.911 + t^7.139 + 3*t^7.366 - t^7.406 + t^7.46 + t^7.634 + t^7.728 + 3*t^7.822 + t^7.916 + 2*t^8.05 + t^8.089 + t^8.183 + t^8.277 + t^8.317 + t^8.45 + 2*t^8.505 - 2*t^8.545 - 2*t^8.639 - t^8.678 + t^8.733 + t^8.866 - t^8.906 + 2*t^8.96 - t^4.272/y - t^6.817/y + t^7.045/y - t^7.5/y + t^7.728/y + t^8.183/y + t^8.545/y + t^8.639/y + (2*t^8.772)/y + (2*t^8.866)/y - t^4.272*y - t^6.817*y + t^7.045*y - t^7.5*y + t^7.728*y + t^8.183*y + t^8.545*y + t^8.639*y + 2*t^8.772*y + 2*t^8.866*y | g1^4*t^2.545 + t^2.639/g1^10 + t^3. + (2*t^3.228)/g1^2 + t^3.683/g1^6 + t^3.911/g1^8 + g1^4*t^4.045 + t^4.139/g1^10 + g1^2*t^4.272 + t^4.822/g1^16 + g1^8*t^5.089 + t^5.183/g1^6 + t^5.277/g1^20 + g1^4*t^5.545 + t^5.639/g1^10 + g1^2*t^5.772 + t^5.866/g1^12 - 2*t^6. - g1^12*t^6.134 + (2*t^6.228)/g1^2 + t^6.322/g1^16 - g1^10*t^6.361 + (2*t^6.455)/g1^4 + t^6.55/g1^18 + t^6.683/g1^6 + t^6.777/g1^20 + (2*t^6.911)/g1^8 + t^7.139/g1^10 + (3*t^7.366)/g1^12 - g1^14*t^7.406 + t^7.46/g1^26 + g1^12*t^7.634 + t^7.728/g1^2 + (3*t^7.822)/g1^16 + t^7.916/g1^30 + (2*t^8.05)/g1^18 + g1^8*t^8.089 + t^8.183/g1^6 + t^8.277/g1^20 + g1^6*t^8.317 + g1^18*t^8.45 + (2*t^8.505)/g1^22 - 2*g1^4*t^8.545 - (2*t^8.639)/g1^10 - g1^16*t^8.678 + t^8.733/g1^24 + t^8.866/g1^12 - g1^14*t^8.906 + (2*t^8.96)/g1^26 - (g1^2*t^4.272)/y - (g1^6*t^6.817)/y + (g1^4*t^7.045)/y - t^7.5/y + t^7.728/(g1^2*y) + t^8.183/(g1^6*y) + (g1^4*t^8.545)/y + t^8.639/(g1^10*y) + (2*g1^2*t^8.772)/y + (2*t^8.866)/(g1^12*y) - g1^2*t^4.272*y - g1^6*t^6.817*y + g1^4*t^7.045*y - t^7.5*y + (t^7.728*y)/g1^2 + (t^8.183*y)/g1^6 + g1^4*t^8.545*y + (t^8.639*y)/g1^10 + 2*g1^2*t^8.772*y + (2*t^8.866*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|---|
4837 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6076 | 0.7394 | 0.8219 | [X:[1.4215], M:[1.1074, 0.5785, 0.7644, 0.9215, 1.0785, 1.0, 0.8926, 1.2356], q:[0.6034, 0.2893], qb:[0.6322, 0.7893], phi:[0.4215]] | t^2.529 + t^2.678 + t^2.764 + t^3. + t^3.236 + t^3.707 + t^3.942 + t^4.029 + t^4.178 + t^4.264 + t^4.885 + t^5.058 + t^5.207 + t^5.293 + t^5.356 + t^5.442 + 2*t^5.529 + t^5.678 + t^5.764 - t^6. - t^4.264/y - t^4.264*y | detail |