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 |
---|---|---|---|---|---|---|---|---|---|
732 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ | 0.651 | 0.8164 | 0.7974 | [M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] | [M:[[-6], [-14], [6], [6], [-14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0 | 2*t^2.237 + t^2.354 + 2*t^2.47 + t^3.414 + t^3.53 + t^3.646 + t^3.879 + 3*t^4.475 + 2*t^4.591 + 5*t^4.707 + 3*t^4.823 + 3*t^4.939 + 2*t^5.652 + 2*t^5.768 + 3*t^5.884 + 2*t^6.116 + 2*t^6.348 + 4*t^6.712 + 4*t^6.828 + 8*t^6.945 + 6*t^7.061 + 6*t^7.177 + 2*t^7.293 + 2*t^7.409 + t^7.757 + 3*t^7.889 + 3*t^8.005 + 5*t^8.121 - t^8.237 + 2*t^8.354 - 4*t^8.47 + t^8.586 + 3*t^8.818 + 5*t^8.95 - t^4.177/y - (2*t^6.414)/y - t^6.53/y - t^6.646/y + t^7.475/y + (2*t^7.591)/y + (5*t^7.707)/y + (3*t^7.823)/y + (3*t^7.939)/y - t^8.652/y + t^8.768/y + (2*t^8.884)/y - t^4.177*y - 2*t^6.414*y - t^6.53*y - t^6.646*y + t^7.475*y + 2*t^7.591*y + 5*t^7.707*y + 3*t^7.823*y + 3*t^7.939*y - t^8.652*y + t^8.768*y + 2*t^8.884*y | (2*t^2.237)/g1^14 + t^2.354/g1^4 + 2*g1^6*t^2.47 + t^3.414/g1^16 + t^3.53/g1^6 + g1^4*t^3.646 + g1^24*t^3.879 + (3*t^4.475)/g1^28 + (2*t^4.591)/g1^18 + (5*t^4.707)/g1^8 + 3*g1^2*t^4.823 + 3*g1^12*t^4.939 + (2*t^5.652)/g1^30 + (2*t^5.768)/g1^20 + (3*t^5.884)/g1^10 + 2*g1^10*t^6.116 + 2*g1^30*t^6.348 + (4*t^6.712)/g1^42 + (4*t^6.828)/g1^32 + (8*t^6.945)/g1^22 + (6*t^7.061)/g1^12 + (6*t^7.177)/g1^2 + 2*g1^8*t^7.293 + 2*g1^18*t^7.409 + g1^48*t^7.757 + (3*t^7.889)/g1^44 + (3*t^8.005)/g1^34 + (5*t^8.121)/g1^24 - t^8.237/g1^14 + (2*t^8.354)/g1^4 - 4*g1^6*t^8.47 + g1^16*t^8.586 + 3*g1^36*t^8.818 + (5*t^8.95)/g1^56 - t^4.177/(g1^2*y) - (2*t^6.414)/(g1^16*y) - t^6.53/(g1^6*y) - (g1^4*t^6.646)/y + t^7.475/(g1^28*y) + (2*t^7.591)/(g1^18*y) + (5*t^7.707)/(g1^8*y) + (3*g1^2*t^7.823)/y + (3*g1^12*t^7.939)/y - t^8.652/(g1^30*y) + t^8.768/(g1^20*y) + (2*t^8.884)/(g1^10*y) - (t^4.177*y)/g1^2 - (2*t^6.414*y)/g1^16 - (t^6.53*y)/g1^6 - g1^4*t^6.646*y + (t^7.475*y)/g1^28 + (2*t^7.591*y)/g1^18 + (5*t^7.707*y)/g1^8 + 3*g1^2*t^7.823*y + 3*g1^12*t^7.939*y - (t^8.652*y)/g1^30 + (t^8.768*y)/g1^20 + (2*t^8.884*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
1203 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ | 0.6662 | 0.8424 | 0.7908 | [M:[1.1807, 0.7549, 0.8193, 0.8193, 0.7549, 0.8193], q:[0.8032, 0.4418], qb:[0.3775, 0.8032], phi:[0.3936]] | 2*t^2.265 + t^2.361 + 3*t^2.458 + t^3.446 + t^3.639 + t^3.832 + 3*t^4.53 + 2*t^4.626 + 7*t^4.723 + 4*t^4.819 + 6*t^4.916 + 2*t^5.71 + 3*t^5.903 - 2*t^6. - t^4.181/y - t^4.181*y | detail | |
1201 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{6}$ | 0.6362 | 0.7913 | 0.804 | [M:[1.1727, 0.7364, 0.8273, 0.8273, 0.7364, 1.1727], q:[0.8045, 0.4591], qb:[0.3682, 0.8045], phi:[0.3909]] | 2*t^2.209 + t^2.345 + t^2.482 + t^3.382 + 2*t^3.518 + t^3.655 + t^3.927 + 3*t^4.418 + 2*t^4.555 + 3*t^4.691 + 2*t^4.827 + t^4.964 + 2*t^5.591 + 4*t^5.727 + 3*t^5.864 - t^4.173/y - t^4.173*y | detail | |
1204 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6685 | 0.8477 | 0.7886 | [M:[1.1747, 0.7409, 0.8253, 0.8253, 0.7409, 0.7831], q:[0.8042, 0.4549], qb:[0.3704, 0.8042], phi:[0.3916]] | 2*t^2.223 + 2*t^2.349 + 2*t^2.476 + t^3.397 + t^3.524 + t^3.904 + 3*t^4.445 + 4*t^4.572 + 7*t^4.699 + 5*t^4.825 + 3*t^4.952 + 2*t^5.62 + 3*t^5.747 + 2*t^5.873 - t^6. - t^4.175/y - t^4.175*y | detail | |
1984 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6716 | 0.8566 | 0.784 | [M:[1.1734, 0.7379, 0.8266, 0.8266, 0.7379, 0.6935], q:[0.8044, 0.4577], qb:[0.3689, 0.8044], phi:[0.3911]] | t^2.08 + 2*t^2.214 + t^2.347 + 2*t^2.48 + t^3.387 + t^3.52 + t^3.653 + t^4.161 + 2*t^4.294 + 4*t^4.427 + 4*t^4.56 + 5*t^4.693 + 3*t^4.827 + 3*t^4.96 + t^5.467 + 3*t^5.6 + 3*t^5.734 + 3*t^5.867 - t^4.173/y - t^4.173*y | detail | |
1202 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6644 | 0.8389 | 0.792 | [M:[1.1879, 0.7717, 0.8121, 0.8121, 0.7717, 0.8324], q:[0.802, 0.4263], qb:[0.3858, 0.802], phi:[0.396]] | 2*t^2.315 + t^2.376 + 2*t^2.436 + t^2.497 + t^3.564 + t^3.624 + t^3.746 + 3*t^4.63 + 2*t^4.691 + 5*t^4.751 + 5*t^4.812 + 4*t^4.873 + 2*t^4.934 + t^4.994 + t^5.879 + t^5.939 - t^4.188/y - t^4.188*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 |
---|---|---|---|---|---|---|---|---|---|
438 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ | 0.7163 | 0.8881 | 0.8066 | [M:[0.9996, 0.9212, 1.0004, 0.7481, 0.6689], q:[0.7913, 0.5398], qb:[0.4606, 0.539], phi:[0.4173]] | t^2.007 + t^2.244 + t^2.504 + t^2.764 + t^2.999 + t^3.001 + t^3.991 + t^4.013 + t^4.016 + 2*t^4.251 + t^4.253 + t^4.486 + 2*t^4.488 + t^4.491 + t^4.51 + t^4.748 + t^4.77 + t^5.005 + 3*t^5.008 + t^5.243 + t^5.245 + t^5.267 + t^5.503 + t^5.505 + t^5.527 + t^5.998 - 2*t^6. - t^4.252/y - t^4.252*y | detail |