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 |
---|---|---|---|---|---|---|---|---|---|
1910 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6251 | 0.8126 | 0.7692 | [M:[0.9888, 1.0335, 1.0112, 0.7584, 0.736], q:[0.7472, 0.264], qb:[0.4721, 0.4944], phi:[0.5056]] | [M:[[4], [-12], [-4], [-3], [5]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{4}q_{1}\tilde{q}_{2}$ | -2 | 2*t^2.208 + 2*t^2.275 + 2*t^3.034 + 2*t^3.101 + t^3.658 + t^3.725 + t^4.349 + 4*t^4.416 + 5*t^4.483 + 3*t^4.55 + 4*t^5.242 + 7*t^5.309 + 3*t^5.376 + 2*t^5.866 + 2*t^5.933 - 2*t^6. + 4*t^6.134 + 3*t^6.201 + 2*t^6.557 + 6*t^6.624 + 8*t^6.691 + 8*t^6.758 + 3*t^6.825 - t^6.892 + t^7.383 + 5*t^7.45 + 11*t^7.517 + 10*t^7.584 + 4*t^7.651 + t^8.007 + 4*t^8.074 + t^8.141 - 7*t^8.208 - 5*t^8.275 + 6*t^8.342 + 10*t^8.409 + 4*t^8.476 + t^8.698 + 4*t^8.765 + 9*t^8.832 + 11*t^8.899 + 10*t^8.966 - t^4.517/y - t^6.725/y - t^6.792/y + (2*t^7.416)/y + (5*t^7.483)/y - t^7.617/y + (5*t^8.242)/y + (9*t^8.309)/y + (4*t^8.376)/y + (2*t^8.866)/y + (3*t^8.933)/y - t^4.517*y - t^6.725*y - t^6.792*y + 2*t^7.416*y + 5*t^7.483*y - t^7.617*y + 5*t^8.242*y + 9*t^8.309*y + 4*t^8.376*y + 2*t^8.866*y + 3*t^8.933*y | 2*g1^5*t^2.208 + (2*t^2.275)/g1^3 + (2*t^3.034)/g1^4 + (2*t^3.101)/g1^12 + g1^11*t^3.658 + g1^3*t^3.725 + g1^18*t^4.349 + 4*g1^10*t^4.416 + 5*g1^2*t^4.483 + (3*t^4.55)/g1^6 + 4*g1*t^5.242 + (7*t^5.309)/g1^7 + (3*t^5.376)/g1^15 + 2*g1^16*t^5.866 + 2*g1^8*t^5.933 - 2*t^6. + (4*t^6.134)/g1^16 + (3*t^6.201)/g1^24 + 2*g1^23*t^6.557 + 6*g1^15*t^6.624 + 8*g1^7*t^6.691 + (8*t^6.758)/g1 + (3*t^6.825)/g1^9 - t^6.892/g1^17 + g1^14*t^7.383 + 5*g1^6*t^7.45 + (11*t^7.517)/g1^2 + (10*t^7.584)/g1^10 + (4*t^7.651)/g1^18 + g1^29*t^8.007 + 4*g1^21*t^8.074 + g1^13*t^8.141 - 7*g1^5*t^8.208 - (5*t^8.275)/g1^3 + (6*t^8.342)/g1^11 + (10*t^8.409)/g1^19 + (4*t^8.476)/g1^27 + g1^36*t^8.698 + 4*g1^28*t^8.765 + 9*g1^20*t^8.832 + 11*g1^12*t^8.899 + 10*g1^4*t^8.966 - t^4.517/(g1^2*y) - (g1^3*t^6.725)/y - t^6.792/(g1^5*y) + (2*g1^10*t^7.416)/y + (5*g1^2*t^7.483)/y - t^7.617/(g1^14*y) + (5*g1*t^8.242)/y + (9*t^8.309)/(g1^7*y) + (4*t^8.376)/(g1^15*y) + (2*g1^16*t^8.866)/y + (3*g1^8*t^8.933)/y - (t^4.517*y)/g1^2 - g1^3*t^6.725*y - (t^6.792*y)/g1^5 + 2*g1^10*t^7.416*y + 5*g1^2*t^7.483*y - (t^7.617*y)/g1^14 + 5*g1*t^8.242*y + (9*t^8.309*y)/g1^7 + (4*t^8.376*y)/g1^15 + 2*g1^16*t^8.866*y + 3*g1^8*t^8.933*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 |
---|---|---|---|---|---|---|---|---|
2942 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6432 | 0.8457 | 0.7606 | [M:[0.9963, 1.011, 1.0037, 0.7527, 0.7454, 0.7601], q:[0.7491, 0.2546], qb:[0.4909, 0.4982], phi:[0.5018]] | 2*t^2.236 + 2*t^2.258 + t^2.28 + 2*t^3.011 + 2*t^3.033 + t^3.742 + t^4.451 + 4*t^4.473 + 5*t^4.495 + 5*t^4.516 + 2*t^4.538 + t^4.56 + 4*t^5.247 + 7*t^5.269 + 5*t^5.291 + 2*t^5.313 - 2*t^6. - t^4.505/y - t^4.505*y | detail | |
2943 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6438 | 0.8465 | 0.7605 | [M:[0.9908, 1.0275, 1.0092, 0.7569, 0.7385, 0.7569], q:[0.7477, 0.2615], qb:[0.477, 0.4954], phi:[0.5046]] | 2*t^2.216 + 3*t^2.271 + 2*t^3.028 + 2*t^3.083 + t^3.674 + t^4.376 + 4*t^4.431 + 7*t^4.486 + 6*t^4.541 + 4*t^5.243 + 9*t^5.298 + 5*t^5.353 + 2*t^5.89 + t^5.945 - 4*t^6. - t^4.514/y - t^4.514*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 |
---|---|---|---|---|---|---|---|---|---|
544 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6254 | 0.8129 | 0.7694 | [M:[0.9847, 1.0459, 1.0153, 0.7462, 0.7462], q:[0.7462, 0.2691], qb:[0.477, 0.477], phi:[0.5077]] | 4*t^2.239 + 2*t^3.046 + 2*t^3.138 + 2*t^3.67 + 3*t^4.385 + 10*t^4.477 + 8*t^5.284 + 6*t^5.376 + 7*t^5.908 - 6*t^6. - t^4.523/y - t^4.523*y | detail |