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 |
---|---|---|---|---|---|---|---|---|---|
46542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6566 | 0.8083 | 0.8123 | [M:[1.1451, 0.7177, 0.8549, 0.9921], q:[0.496, 0.3588], qb:[0.7863, 0.6491], phi:[0.4274]] | [M:[[4], [6], [-4], [-14]], q:[[-7], [3]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 3 | t^2.153 + 2*t^2.565 + t^2.976 + 3*t^3.435 + t^3.847 + t^4.259 + 3*t^4.306 + 3*t^4.718 + 3*t^5.129 + t^5.177 + t^5.541 + 2*t^5.588 + t^5.953 + 3*t^6. + 2*t^6.412 + 2*t^6.459 + 2*t^6.823 + 6*t^6.871 + t^7.235 + 4*t^7.282 + t^7.33 + 4*t^7.694 + 6*t^7.741 + 3*t^8.106 + t^8.153 + 2*t^8.517 + 5*t^8.612 + t^8.929 - t^4.282/y - t^6.435/y - t^6.847/y - t^7.259/y + t^7.306/y + (3*t^7.718)/y + (3*t^8.129)/y + (2*t^8.541)/y + (2*t^8.588)/y - t^4.282*y - t^6.435*y - t^6.847*y - t^7.259*y + t^7.306*y + 3*t^7.718*y + 3*t^8.129*y + 2*t^8.541*y + 2*t^8.588*y | g1^6*t^2.153 + (2*t^2.565)/g1^4 + t^2.976/g1^14 + 3*g1^4*t^3.435 + t^3.847/g1^6 + t^4.259/g1^16 + 3*g1^12*t^4.306 + 3*g1^2*t^4.718 + (3*t^5.129)/g1^8 + g1^20*t^5.177 + t^5.541/g1^18 + 2*g1^10*t^5.588 + t^5.953/g1^28 + 3*t^6. + (2*t^6.412)/g1^10 + 2*g1^18*t^6.459 + (2*t^6.823)/g1^20 + 6*g1^8*t^6.871 + t^7.235/g1^30 + (4*t^7.282)/g1^2 + g1^26*t^7.33 + (4*t^7.694)/g1^12 + 6*g1^16*t^7.741 + (3*t^8.106)/g1^22 + g1^6*t^8.153 + (2*t^8.517)/g1^32 + 5*g1^24*t^8.612 + t^8.929/g1^42 - t^4.282/(g1^2*y) - (g1^4*t^6.435)/y - t^6.847/(g1^6*y) - t^7.259/(g1^16*y) + (g1^12*t^7.306)/y + (3*g1^2*t^7.718)/y + (3*t^8.129)/(g1^8*y) + (2*t^8.541)/(g1^18*y) + (2*g1^10*t^8.588)/y - (t^4.282*y)/g1^2 - g1^4*t^6.435*y - (t^6.847*y)/g1^6 - (t^7.259*y)/g1^16 + g1^12*t^7.306*y + 3*g1^2*t^7.718*y + (3*t^8.129*y)/g1^8 + (2*t^8.541*y)/g1^18 + 2*g1^10*t^8.588*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 |
---|---|---|---|---|---|---|---|---|
46853 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6695 | 0.8304 | 0.8062 | [M:[1.1494, 0.7241, 0.8506, 0.977, 0.8506], q:[0.4885, 0.3621], qb:[0.7874, 0.6609], phi:[0.4253]] | t^2.172 + 3*t^2.552 + t^2.931 + 2*t^3.448 + t^3.828 + t^4.207 + 3*t^4.345 + 4*t^4.724 + 6*t^5.104 + t^5.241 + 2*t^5.483 + t^5.621 + t^5.862 + 3*t^6. - t^4.276/y - t^4.276*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 |
---|---|---|---|---|---|---|---|---|---|
46145 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6955 | 0.8466 | 0.8215 | [M:[1.0, 0.7479, 1.0, 0.9217], q:[0.4608, 0.5392], qb:[0.7913, 0.5392], phi:[0.4174]] | t^2.244 + t^2.504 + t^2.765 + 2*t^3. + 2*t^3.991 + t^4.017 + 2*t^4.252 + 4*t^4.487 + t^4.748 + 2*t^5.009 + 2*t^5.244 + t^5.269 + 2*t^5.504 + t^5.53 - 2*t^6. - t^4.252/y - t^4.252*y | detail |