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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2583 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6469 | 0.7998 | 0.8088 | [X:[1.3381], M:[1.1079, 0.6763, 0.6619, 1.1223, 0.8777, 0.8777, 1.1223], q:[0.554, 0.3381], qb:[0.7842, 0.5395], phi:[0.446]] | [X:[[3]], M:[[-2], [6], [-3], [7], [-7], [-7], [7]], q:[[-1], [3]], qb:[[4], [-10]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{6}M_{7}$ | -1 | t^2.029 + t^2.633 + t^2.676 + t^3.281 + t^3.324 + 2*t^3.367 + t^3.971 + 2*t^4.014 + t^4.058 + t^4.575 + t^4.619 + t^4.662 + 2*t^4.705 + 2*t^5.309 + 2*t^5.353 + t^5.396 + t^5.914 + t^5.957 - t^6. + 4*t^6.043 + t^6.086 + t^6.561 + t^6.604 + 3*t^6.647 + 2*t^6.691 + 3*t^6.734 + t^7.208 + 2*t^7.252 + 2*t^7.295 + t^7.338 + 5*t^7.381 + t^7.425 + t^7.856 + t^7.899 + 2*t^7.942 + 2*t^7.986 + 4*t^8.072 + t^8.115 + t^8.547 + 2*t^8.59 - t^8.633 + 4*t^8.719 + 2*t^8.763 - t^4.338/y - t^6.367/y + t^7.662/y + t^7.705/y + (3*t^8.309)/y + t^8.353/y + t^8.396/y + t^8.914/y + (2*t^8.957)/y - t^4.338*y - t^6.367*y + t^7.662*y + t^7.705*y + 3*t^8.309*y + t^8.353*y + t^8.396*y + t^8.914*y + 2*t^8.957*y | g1^6*t^2.029 + t^2.633/g1^7 + g1^2*t^2.676 + t^3.281/g1^11 + t^3.324/g1^2 + 2*g1^7*t^3.367 + t^3.971/g1^6 + 2*g1^3*t^4.014 + g1^12*t^4.058 + t^4.575/g1^19 + t^4.619/g1^10 + t^4.662/g1 + 2*g1^8*t^4.705 + (2*t^5.309)/g1^5 + 2*g1^4*t^5.353 + g1^13*t^5.396 + t^5.914/g1^18 + t^5.957/g1^9 - t^6. + 4*g1^9*t^6.043 + g1^18*t^6.086 + t^6.561/g1^22 + t^6.604/g1^13 + (3*t^6.647)/g1^4 + 2*g1^5*t^6.691 + 3*g1^14*t^6.734 + t^7.208/g1^26 + (2*t^7.252)/g1^17 + (2*t^7.295)/g1^8 + g1*t^7.338 + 5*g1^10*t^7.381 + g1^19*t^7.425 + t^7.856/g1^30 + t^7.899/g1^21 + (2*t^7.942)/g1^12 + (2*t^7.986)/g1^3 + 4*g1^15*t^8.072 + g1^24*t^8.115 + t^8.547/g1^25 + (2*t^8.59)/g1^16 - t^8.633/g1^7 + 4*g1^11*t^8.719 + 2*g1^20*t^8.763 - (g1*t^4.338)/y - (g1^7*t^6.367)/y + t^7.662/(g1*y) + (g1^8*t^7.705)/y + (3*t^8.309)/(g1^5*y) + (g1^4*t^8.353)/y + (g1^13*t^8.396)/y + t^8.914/(g1^18*y) + (2*t^8.957)/(g1^9*y) - g1*t^4.338*y - g1^7*t^6.367*y + (t^7.662*y)/g1 + g1^8*t^7.705*y + (3*t^8.309*y)/g1^5 + g1^4*t^8.353*y + g1^13*t^8.396*y + (t^8.914*y)/g1^18 + (2*t^8.957*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
4662 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6567 | 0.8164 | 0.8044 | [X:[1.3357], M:[1.1095, 0.6715, 0.6643, 1.1167, 0.8833, 0.8833, 1.1167, 0.8905], q:[0.5548, 0.3357], qb:[0.781, 0.5475], phi:[0.4452]] | t^2.014 + t^2.65 + 2*t^2.671 + t^3.307 + 2*t^3.35 + t^3.986 + 2*t^4.007 + t^4.029 + t^4.621 + t^4.643 + t^4.664 + 3*t^4.686 + 3*t^5.321 + 3*t^5.343 + t^5.365 + t^5.957 + t^5.978 - 2*t^6. - t^4.336/y - t^4.336*y | detail | |
4663 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6677 | 0.8408 | 0.7941 | [X:[1.3377], M:[1.1082, 0.6754, 0.6623, 1.1213, 0.8787, 0.8787, 1.1213, 0.6754], q:[0.5541, 0.3377], qb:[0.7836, 0.5409], phi:[0.4459]] | 2*t^2.026 + t^2.636 + t^2.675 + t^3.285 + t^3.325 + 2*t^3.364 + 2*t^4.013 + 3*t^4.053 + t^4.583 + t^4.623 + 2*t^4.662 + 3*t^4.702 + 3*t^5.311 + 3*t^5.351 + 3*t^5.39 + t^5.921 + t^5.961 - 2*t^6. - t^4.338/y - t^4.338*y | detail | |
4661 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6372 | 0.7835 | 0.8133 | [X:[1.3405], M:[1.1063, 0.681, 0.6595, 1.1279, 0.8721, 0.8721, 1.1279, 1.1063], q:[0.5532, 0.3405], qb:[0.7874, 0.5316], phi:[0.4468]] | t^2.043 + t^2.616 + t^3.254 + 2*t^3.319 + 2*t^3.384 + t^3.957 + 2*t^4.022 + t^4.086 + t^4.53 + t^4.595 + t^4.659 + t^4.724 + t^5.297 + 2*t^5.362 + t^5.427 + t^5.871 + t^5.935 - 2*t^6. - t^4.341/y - t^4.341*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 |
---|---|---|---|---|---|---|---|---|---|
1477 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ | 0.6585 | 0.8203 | 0.8028 | [X:[1.3457], M:[1.1029, 0.6914, 0.6543, 1.14, 0.86, 0.86], q:[0.5514, 0.3457], qb:[0.7943, 0.5143], phi:[0.4486]] | t^2.074 + 2*t^2.58 + t^2.691 + t^3.197 + t^3.309 + t^3.42 + t^3.926 + 2*t^4.037 + t^4.149 + t^4.431 + t^4.543 + 2*t^4.654 + 2*t^4.766 + 2*t^5.16 + 3*t^5.271 + 2*t^5.383 + 2*t^5.777 + 2*t^5.889 - t^6. - t^4.346/y - t^4.346*y | detail |