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 |
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48170 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6682 | 0.8218 | 0.813 | [M:[0.9959, 1.0917, 1.0917, 0.9083, 0.725], q:[0.502, 0.502], qb:[0.4063, 0.7729], phi:[0.4542]] | [M:[[-22], [4], [4], [-4], [-12]], q:[[11], [11]], qb:[[-15], [1]], phi:[[-2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{2}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | -2 | t^2.175 + 2*t^2.725 + t^2.988 + t^3.275 + t^3.538 + t^3.8 + t^3.825 + 2*t^4.088 + t^4.35 + 3*t^4.375 + 2*t^4.9 + t^5.163 + 4*t^5.45 + t^5.713 + 2*t^5.975 - 2*t^6. + 4*t^6.263 - 2*t^6.287 + 4*t^6.525 + 3*t^6.55 + t^6.788 + 3*t^6.813 + 3*t^7.075 + 4*t^7.1 + 2*t^7.338 + t^7.601 + 5*t^7.625 - t^7.65 + 3*t^7.888 + t^7.912 + 2*t^8.151 + 4*t^8.175 + t^8.2 + 3*t^8.438 + 4*t^8.701 - 4*t^8.725 + 5*t^8.75 + 2*t^8.963 + 2*t^8.988 - t^4.363/y - t^6.538/y - t^7.35/y + t^7.375/y + (2*t^7.9)/y + t^8.163/y + t^8.187/y + (2*t^8.45)/y + (2*t^8.713)/y + t^8.975/y - t^4.363*y - t^6.538*y - t^7.35*y + t^7.375*y + 2*t^7.9*y + t^8.163*y + t^8.187*y + 2*t^8.45*y + 2*t^8.713*y + t^8.975*y | t^2.175/g1^12 + (2*t^2.725)/g1^4 + t^2.988/g1^22 + g1^4*t^3.275 + t^3.538/g1^14 + t^3.8/g1^32 + g1^12*t^3.825 + (2*t^4.088)/g1^6 + t^4.35/g1^24 + 3*g1^20*t^4.375 + (2*t^4.9)/g1^16 + t^5.163/g1^34 + (4*t^5.45)/g1^8 + t^5.713/g1^26 + (2*t^5.975)/g1^44 - 2*t^6. + (4*t^6.263)/g1^18 - 2*g1^26*t^6.287 + (4*t^6.525)/g1^36 + 3*g1^8*t^6.55 + t^6.788/g1^54 + (3*t^6.813)/g1^10 + (3*t^7.075)/g1^28 + 4*g1^16*t^7.1 + (2*t^7.338)/g1^46 + t^7.601/g1^64 + (5*t^7.625)/g1^20 - g1^24*t^7.65 + (3*t^7.888)/g1^38 + g1^6*t^7.912 + (2*t^8.151)/g1^56 + (4*t^8.175)/g1^12 + g1^32*t^8.2 + (3*t^8.438)/g1^30 + (4*t^8.701)/g1^48 - (4*t^8.725)/g1^4 + 5*g1^40*t^8.75 + (2*t^8.963)/g1^66 + (2*t^8.988)/g1^22 - t^4.363/(g1^2*y) - t^6.538/(g1^14*y) - t^7.35/(g1^24*y) + (g1^20*t^7.375)/y + (2*t^7.9)/(g1^16*y) + t^8.163/(g1^34*y) + (g1^10*t^8.187)/y + (2*t^8.45)/(g1^8*y) + (2*t^8.713)/(g1^26*y) + t^8.975/(g1^44*y) - (t^4.363*y)/g1^2 - (t^6.538*y)/g1^14 - (t^7.35*y)/g1^24 + g1^20*t^7.375*y + (2*t^7.9*y)/g1^16 + (t^8.163*y)/g1^34 + g1^10*t^8.187*y + (2*t^8.45*y)/g1^8 + (2*t^8.713*y)/g1^26 + (t^8.975*y)/g1^44 |
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 |
---|---|---|---|---|---|---|---|---|
55927 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.662 | 0.811 | 0.8162 | [M:[1.0769, 1.0769, 1.0769, 0.9231, 0.7692], q:[0.4615, 0.4615], qb:[0.4615, 0.7692], phi:[0.4615]] | t^2.308 + 2*t^2.769 + 2*t^3.231 + 2*t^3.692 + 6*t^4.154 + t^4.615 + 2*t^5.077 + 5*t^5.538 - 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 23271/35152, c: 14255/17576, M1: 14/13, M2: 14/13, M3: 14/13, M4: 12/13, M5: 10/13, q1: 6/13, q2: 6/13, qb1: 6/13, qb2: 10/13, phi1: 6/13} |
55926 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6388 | 0.7821 | 0.8167 | [M:[1.1765, 1.0588, 1.0588, 0.9412, 0.8235], q:[0.4118, 0.4118], qb:[0.5294, 0.7647], phi:[0.4706]] | t^2.471 + 2*t^2.824 + t^3.176 + 2*t^3.529 + 4*t^3.882 + 2*t^4.235 + t^4.588 + t^4.941 + 2*t^5.294 + 2*t^5.647 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 50211/78608, c: 30741/39304, M1: 20/17, M2: 18/17, M3: 18/17, M4: 16/17, M5: 14/17, q1: 7/17, q2: 7/17, qb1: 9/17, qb2: 13/17, phi1: 8/17} |
55929 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6766 | 0.8365 | 0.8088 | [M:[0.9878, 1.0931, 1.0931, 0.9069, 0.7206, 0.9069], q:[0.5061, 0.5061], qb:[0.4008, 0.7733], phi:[0.4534]] | t^2.162 + 3*t^2.721 + t^2.964 + t^3.522 + t^3.765 + t^3.838 + 2*t^4.081 + t^4.324 + 3*t^4.397 + 3*t^4.883 + t^5.125 + 6*t^5.441 + 2*t^5.684 + 2*t^5.927 - 4*t^6. - t^4.36/y - t^4.36*y | detail | |
55928 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6599 | 0.8074 | 0.8173 | [M:[1.0041, 1.0902, 1.0902, 0.9098, 0.7295, 1.0902], q:[0.4979, 0.4979], qb:[0.4119, 0.7725], phi:[0.4549]] | t^2.189 + t^2.73 + t^3.012 + 2*t^3.27 + t^3.553 + t^3.811 + t^3.836 + 2*t^4.094 + 3*t^4.352 + t^4.377 + t^4.918 + t^5.201 + 3*t^5.459 - 2*t^6. - t^4.365/y - t^4.365*y | detail | |
53324 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6883 | 0.8591 | 0.8011 | [M:[1.0127, 1.0886, 1.0886, 0.9114, 0.7342, 0.7087], q:[0.4936, 0.4936], qb:[0.4178, 0.7721], phi:[0.4557]] | t^2.126 + t^2.203 + 2*t^2.734 + t^3.038 + t^3.266 + t^3.57 + t^3.797 + 2*t^4.101 + t^4.252 + 4*t^4.329 + t^4.405 + 2*t^4.86 + 2*t^4.937 + t^5.164 + t^5.241 + t^5.392 + 4*t^5.468 + t^5.696 + t^5.772 + t^5.924 - 2*t^6. - t^4.367/y - t^4.367*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 |
---|---|---|---|---|---|---|---|---|---|
46704 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6483 | 0.7846 | 0.8263 | [M:[1.005, 1.09, 1.09, 0.91], q:[0.4975, 0.4975], qb:[0.4125, 0.7725], phi:[0.455]] | 2*t^2.73 + t^3.015 + t^3.27 + t^3.555 + 2*t^3.81 + t^3.84 + 2*t^4.095 + 3*t^4.35 + 3*t^5.46 - 3*t^6. - t^4.365/y - t^4.365*y | detail |