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 |
---|---|---|---|---|---|---|---|---|---|
3198 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6167 | 0.7962 | 0.7746 | [M:[1.0202, 0.6826, 0.9798, 0.7229, 1.2771, 0.7229, 0.8514], q:[0.6385, 0.3413], qb:[0.3816, 0.9358], phi:[0.4257]] | [M:[[14], [-22], [-14], [6], [-6], [6], [-4]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$ | ${}$ | -2 | t^2.048 + 2*t^2.169 + 2*t^2.554 + t^2.939 + t^3.061 + t^3.325 + t^3.567 + t^4.096 + 2*t^4.217 + 3*t^4.338 + 2*t^4.602 + 5*t^4.723 + t^4.987 + 6*t^5.108 + 2*t^5.229 + t^5.373 + 3*t^5.494 + 2*t^5.615 + 2*t^5.736 + 2*t^5.879 - 2*t^6. + 2*t^6.121 + t^6.143 + 3*t^6.264 + 2*t^6.385 + 3*t^6.506 + t^6.627 + 3*t^6.65 + 3*t^6.771 + 5*t^6.892 - t^7.013 + t^7.035 + t^7.134 + 5*t^7.156 + 10*t^7.277 + t^7.398 + t^7.42 + 3*t^7.541 + 10*t^7.662 + 3*t^7.783 + 3*t^7.904 + 2*t^7.927 + 3*t^8.048 - 3*t^8.169 + t^8.191 + 4*t^8.29 + 3*t^8.312 + 6*t^8.433 - 5*t^8.554 + 5*t^8.675 + 3*t^8.697 + 2*t^8.796 + 6*t^8.818 - 3*t^8.939 - t^4.277/y - t^6.325/y - t^6.446/y - (2*t^6.831)/y + (2*t^7.217)/y + t^7.338/y + (2*t^7.602)/y + (6*t^7.723)/y + t^7.987/y + (5*t^8.108)/y + (3*t^8.229)/y + (3*t^8.494)/y + (2*t^8.615)/y + (2*t^8.736)/y - t^4.277*y - t^6.325*y - t^6.446*y - 2*t^6.831*y + 2*t^7.217*y + t^7.338*y + 2*t^7.602*y + 6*t^7.723*y + t^7.987*y + 5*t^8.108*y + 3*t^8.229*y + 3*t^8.494*y + 2*t^8.615*y + 2*t^8.736*y | t^2.048/g1^22 + 2*g1^6*t^2.169 + (2*t^2.554)/g1^4 + t^2.939/g1^14 + g1^14*t^3.061 + t^3.325/g1^24 + g1^32*t^3.567 + t^4.096/g1^44 + (2*t^4.217)/g1^16 + 3*g1^12*t^4.338 + (2*t^4.602)/g1^26 + 5*g1^2*t^4.723 + t^4.987/g1^36 + (6*t^5.108)/g1^8 + 2*g1^20*t^5.229 + t^5.373/g1^46 + (3*t^5.494)/g1^18 + 2*g1^10*t^5.615 + 2*g1^38*t^5.736 + (2*t^5.879)/g1^28 - 2*t^6. + 2*g1^28*t^6.121 + t^6.143/g1^66 + (3*t^6.264)/g1^38 + (2*t^6.385)/g1^10 + 3*g1^18*t^6.506 + g1^46*t^6.627 + (3*t^6.65)/g1^48 + (3*t^6.771)/g1^20 + 5*g1^8*t^6.892 - g1^36*t^7.013 + t^7.035/g1^58 + g1^64*t^7.134 + (5*t^7.156)/g1^30 + (10*t^7.277)/g1^2 + g1^26*t^7.398 + t^7.42/g1^68 + (3*t^7.541)/g1^40 + (10*t^7.662)/g1^12 + 3*g1^16*t^7.783 + 3*g1^44*t^7.904 + (2*t^7.927)/g1^50 + (3*t^8.048)/g1^22 - 3*g1^6*t^8.169 + t^8.191/g1^88 + 4*g1^34*t^8.29 + (3*t^8.312)/g1^60 + (6*t^8.433)/g1^32 - (5*t^8.554)/g1^4 + 5*g1^24*t^8.675 + (3*t^8.697)/g1^70 + 2*g1^52*t^8.796 + (6*t^8.818)/g1^42 - (3*t^8.939)/g1^14 - t^4.277/(g1^2*y) - t^6.325/(g1^24*y) - (g1^4*t^6.446)/y - (2*t^6.831)/(g1^6*y) + (2*t^7.217)/(g1^16*y) + (g1^12*t^7.338)/y + (2*t^7.602)/(g1^26*y) + (6*g1^2*t^7.723)/y + t^7.987/(g1^36*y) + (5*t^8.108)/(g1^8*y) + (3*g1^20*t^8.229)/y + (3*t^8.494)/(g1^18*y) + (2*g1^10*t^8.615)/y + (2*g1^38*t^8.736)/y - (t^4.277*y)/g1^2 - (t^6.325*y)/g1^24 - g1^4*t^6.446*y - (2*t^6.831*y)/g1^6 + (2*t^7.217*y)/g1^16 + g1^12*t^7.338*y + (2*t^7.602*y)/g1^26 + 6*g1^2*t^7.723*y + (t^7.987*y)/g1^36 + (5*t^8.108*y)/g1^8 + 3*g1^20*t^8.229*y + (3*t^8.494*y)/g1^18 + 2*g1^10*t^8.615*y + 2*g1^38*t^8.736*y |
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 |
---|---|---|---|---|---|---|---|---|
5088 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6281 | 0.8157 | 0.77 | [M:[0.9985, 0.7167, 1.0015, 0.7136, 1.2864, 0.7136, 0.8576, 0.8546], q:[0.6432, 0.3583], qb:[0.3553, 0.928], phi:[0.4288]] | 2*t^2.141 + t^2.15 + t^2.564 + 2*t^2.573 + t^2.995 + t^3.005 + t^3.418 + 3*t^4.282 + 2*t^4.291 + t^4.3 + 2*t^4.705 + 6*t^4.714 + 2*t^4.723 + t^5.127 + 4*t^5.136 + 6*t^5.145 + t^5.155 + 3*t^5.559 + 3*t^5.568 + t^5.577 + t^5.982 + 2*t^5.991 - 2*t^6. - t^4.286/y - t^4.286*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 |
---|---|---|---|---|---|---|---|---|---|
2105 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6038 | 0.7739 | 0.7802 | [M:[1.0166, 0.6882, 0.9834, 0.7214, 1.2786, 0.7214], q:[0.6393, 0.3441], qb:[0.3773, 0.9345], phi:[0.4262]] | t^2.065 + 2*t^2.164 + t^2.557 + t^2.95 + t^3.05 + t^3.343 + t^3.443 + t^3.542 + t^4.129 + 2*t^4.229 + 3*t^4.328 + t^4.622 + 3*t^4.721 + t^5.015 + 4*t^5.114 + 2*t^5.214 + t^5.408 + 3*t^5.507 + 3*t^5.607 + 2*t^5.707 + t^5.9 - t^6. - t^4.279/y - t^4.279*y | detail |