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 |
---|---|---|---|---|---|---|---|---|---|
1146 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ | 0.6657 | 0.8235 | 0.8084 | [M:[0.9836, 1.082, 1.1475, 0.8525, 0.7869, 0.918], q:[0.7705, 0.541], qb:[0.4754, 0.3771], phi:[0.459]] | [M:[[13], [-4], [5], [-5], [-14], [4]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.361 + t^2.557 + 2*t^2.754 + t^2.951 + t^3.443 + t^3.738 + 2*t^3.934 + t^4.131 + t^4.229 + t^4.426 + t^4.623 + t^4.721 + t^4.918 + 3*t^5.115 + 3*t^5.311 + 3*t^5.508 + t^5.705 + t^5.902 - 2*t^6. + t^6.098 + 2*t^6.295 + t^6.393 + 2*t^6.492 + t^6.59 + 3*t^6.689 + 2*t^6.787 + 2*t^6.885 + 3*t^6.984 + t^7.082 + t^7.18 + t^7.279 + t^7.377 + 3*t^7.475 + 4*t^7.672 + 5*t^7.869 + t^7.967 + 4*t^8.066 + 2*t^8.164 + 4*t^8.262 - 2*t^8.361 + 3*t^8.459 - 3*t^8.557 + 4*t^8.656 - 4*t^8.754 + 3*t^8.852 + t^8.853 - 2*t^8.951 - t^4.377/y - t^6.738/y - t^7.131/y - t^7.328/y + t^7.426/y + t^7.623/y + t^7.918/y + t^8.016/y + (2*t^8.115)/y + (3*t^8.311)/y + (2*t^8.508)/y + (2*t^8.705)/y + t^8.803/y - t^4.377*y - t^6.738*y - t^7.131*y - t^7.328*y + t^7.426*y + t^7.623*y + t^7.918*y + t^8.016*y + 2*t^8.115*y + 3*t^8.311*y + 2*t^8.508*y + 2*t^8.705*y + t^8.803*y | t^2.361/g1^14 + t^2.557/g1^5 + 2*g1^4*t^2.754 + g1^13*t^2.951 + g1^5*t^3.443 + t^3.738/g1^12 + (2*t^3.934)/g1^3 + g1^6*t^4.131 + t^4.229/g1^20 + t^4.426/g1^11 + t^4.623/g1^2 + t^4.721/g1^28 + t^4.918/g1^19 + (3*t^5.115)/g1^10 + (3*t^5.311)/g1 + 3*g1^8*t^5.508 + g1^17*t^5.705 + g1^26*t^5.902 - 2*t^6. + t^6.098/g1^26 + (2*t^6.295)/g1^17 + g1^18*t^6.393 + (2*t^6.492)/g1^8 + t^6.59/g1^34 + 3*g1*t^6.689 + (2*t^6.787)/g1^25 + 2*g1^10*t^6.885 + (3*t^6.984)/g1^16 + t^7.082/g1^42 + t^7.18/g1^7 + t^7.279/g1^33 + g1^2*t^7.377 + (3*t^7.475)/g1^24 + (4*t^7.672)/g1^15 + (5*t^7.869)/g1^6 + t^7.967/g1^32 + 4*g1^3*t^8.066 + (2*t^8.164)/g1^23 + 4*g1^12*t^8.262 - (2*t^8.361)/g1^14 + (2*t^8.459)/g1^40 + g1^21*t^8.459 - (3*t^8.557)/g1^5 + (3*t^8.656)/g1^31 + g1^30*t^8.656 - 4*g1^4*t^8.754 + (3*t^8.852)/g1^22 + g1^39*t^8.853 + t^8.951/g1^48 - 3*g1^13*t^8.951 - (g1^2*t^4.377)/y - t^6.738/(g1^12*y) - (g1^6*t^7.131)/y - (g1^15*t^7.328)/y + t^7.426/(g1^11*y) + t^7.623/(g1^2*y) + t^7.918/(g1^19*y) + (g1^16*t^8.016)/y + (2*t^8.115)/(g1^10*y) + (3*t^8.311)/(g1*y) + (2*g1^8*t^8.508)/y + (2*g1^17*t^8.705)/y + t^8.803/(g1^9*y) - g1^2*t^4.377*y - (t^6.738*y)/g1^12 - g1^6*t^7.131*y - g1^15*t^7.328*y + (t^7.426*y)/g1^11 + (t^7.623*y)/g1^2 + (t^7.918*y)/g1^19 + g1^16*t^8.016*y + (2*t^8.115*y)/g1^10 + (3*t^8.311*y)/g1 + 2*g1^8*t^8.508*y + 2*g1^17*t^8.705*y + (t^8.803*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 |
---|---|---|---|---|---|---|---|---|
2174 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6864 | 0.8636 | 0.7948 | [M:[0.9824, 1.0823, 1.1471, 0.8529, 0.7882, 0.9177, 0.6882], q:[0.7706, 0.5412], qb:[0.4764, 0.3765], phi:[0.4588]] | t^2.065 + t^2.365 + t^2.559 + 2*t^2.753 + t^2.947 + t^3.441 + t^3.741 + t^3.935 + 2*t^4.129 + t^4.235 + 2*t^4.429 + 2*t^4.624 + t^4.729 + 2*t^4.818 + t^4.923 + t^5.012 + 3*t^5.118 + 3*t^5.312 + 4*t^5.506 + t^5.7 + t^5.806 + t^5.894 - t^6. - t^4.376/y - t^4.376*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 |
---|---|---|---|---|---|---|---|---|---|
703 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6584 | 0.8119 | 0.8109 | [M:[0.9956, 1.0783, 1.1521, 0.8479, 0.774], q:[0.7696, 0.5391], qb:[0.4653, 0.3826], phi:[0.4609]] | t^2.322 + t^2.544 + t^2.765 + t^2.987 + t^3.235 + t^3.456 + t^3.705 + 2*t^3.926 + t^4.148 + t^4.174 + t^4.396 + t^4.617 + t^4.644 + t^4.866 + 2*t^5.087 + 2*t^5.309 + t^5.53 + t^5.557 + t^5.778 + t^5.973 - t^6. - t^4.383/y - t^4.383*y | detail |