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 |
---|---|---|---|---|---|---|---|---|---|
56657 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6929 | 0.866 | 0.8001 | [M:[1.0273, 1.086, 1.086, 0.914, 0.8008, 0.914, 0.6876], q:[0.4864, 0.4864], qb:[0.4277, 0.7715], phi:[0.457]] | [M:[[-22], [4], [4], [-4], [14], [-4], [32]], q:[[11], [11]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$ | ${}$ | -5 | t^2.063 + t^2.403 + 3*t^2.742 + t^3.082 + 2*t^3.774 + 2*t^4.113 + t^4.126 + 3*t^4.289 + t^4.465 + 4*t^4.805 + 4*t^5.145 + 7*t^5.484 + t^5.824 + 2*t^5.836 - 5*t^6. + t^6.164 + 2*t^6.176 + t^6.189 - t^6.34 + 3*t^6.352 + 5*t^6.516 + t^6.528 + 3*t^6.692 + 5*t^6.855 + 4*t^6.868 + 6*t^7.031 - t^7.195 + 5*t^7.208 - 3*t^7.371 + 8*t^7.547 - 2*t^7.711 + 8*t^7.887 + 2*t^7.899 - t^8.063 + 11*t^8.226 + 2*t^8.239 + t^8.252 - 4*t^8.403 + 3*t^8.415 + t^8.566 + 10*t^8.579 + t^8.591 - 16*t^8.742 + 3*t^8.755 + t^8.906 + 4*t^8.918 + 4*t^8.931 - t^4.371/y - t^6.434/y - t^6.774/y - t^7.113/y + t^7.289/y - t^7.453/y + t^7.465/y + t^7.629/y + (3*t^7.805)/y + t^7.969/y + (4*t^8.145)/y + t^8.308/y + (4*t^8.484)/y - t^8.497/y + (3*t^8.824)/y + t^8.836/y - t^4.371*y - t^6.434*y - t^6.774*y - t^7.113*y + t^7.289*y - t^7.453*y + t^7.465*y + t^7.629*y + 3*t^7.805*y + t^7.969*y + 4*t^8.145*y + t^8.308*y + 4*t^8.484*y - t^8.497*y + 3*t^8.824*y + t^8.836*y | g1^32*t^2.063 + g1^14*t^2.403 + (3*t^2.742)/g1^4 + t^3.082/g1^22 + 2*g1^12*t^3.774 + (2*t^4.113)/g1^6 + g1^64*t^4.126 + 3*g1^20*t^4.289 + g1^46*t^4.465 + 4*g1^28*t^4.805 + 4*g1^10*t^5.145 + (7*t^5.484)/g1^8 + t^5.824/g1^26 + 2*g1^44*t^5.836 - 5*t^6. + t^6.164/g1^44 + 2*g1^26*t^6.176 + g1^96*t^6.189 - t^6.34/g1^18 + 3*g1^52*t^6.352 + 5*g1^8*t^6.516 + g1^78*t^6.528 + 3*g1^34*t^6.692 + (5*t^6.855)/g1^10 + 4*g1^60*t^6.868 + 6*g1^16*t^7.031 - t^7.195/g1^28 + 5*g1^42*t^7.208 - (3*t^7.371)/g1^2 + 8*g1^24*t^7.547 - (2*t^7.711)/g1^20 + 8*g1^6*t^7.887 + 2*g1^76*t^7.899 - g1^32*t^8.063 + (11*t^8.226)/g1^12 + 2*g1^58*t^8.239 + g1^128*t^8.252 - 4*g1^14*t^8.403 + 3*g1^84*t^8.415 + t^8.566/g1^30 + 10*g1^40*t^8.579 + g1^110*t^8.591 - (16*t^8.742)/g1^4 + 3*g1^66*t^8.755 + t^8.906/g1^48 + 4*g1^22*t^8.918 + 4*g1^92*t^8.931 - t^4.371/(g1^2*y) - (g1^30*t^6.434)/y - (g1^12*t^6.774)/y - t^7.113/(g1^6*y) + (g1^20*t^7.289)/y - t^7.453/(g1^24*y) + (g1^46*t^7.465)/y + (g1^2*t^7.629)/y + (3*g1^28*t^7.805)/y + t^7.969/(g1^16*y) + (4*g1^10*t^8.145)/y + t^8.308/(g1^34*y) + (4*t^8.484)/(g1^8*y) - (g1^62*t^8.497)/y + (3*t^8.824)/(g1^26*y) + (g1^44*t^8.836)/y - (t^4.371*y)/g1^2 - g1^30*t^6.434*y - g1^12*t^6.774*y - (t^7.113*y)/g1^6 + g1^20*t^7.289*y - (t^7.453*y)/g1^24 + g1^46*t^7.465*y + g1^2*t^7.629*y + 3*g1^28*t^7.805*y + (t^7.969*y)/g1^16 + 4*g1^10*t^8.145*y + (t^8.308*y)/g1^34 + (4*t^8.484*y)/g1^8 - g1^62*t^8.497*y + (3*t^8.824*y)/g1^26 + g1^44*t^8.836*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 |
---|---|---|---|---|---|---|---|---|
58693 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}q_{2}\tilde{q}_{2}$ | 0.7123 | 0.9011 | 0.7905 | [M:[1.0207, 1.0872, 1.0872, 0.9128, 0.805, 0.9128, 0.6972, 0.7385], q:[0.4897, 0.4897], qb:[0.4232, 0.7718], phi:[0.4564]] | t^2.092 + t^2.216 + t^2.415 + 3*t^2.739 + t^3.062 + t^3.784 + 2*t^4.108 + t^4.183 + 4*t^4.307 + t^4.431 + t^4.507 + t^4.631 + 4*t^4.83 + 3*t^4.954 + 4*t^5.154 + t^5.278 + 7*t^5.477 + t^5.801 + t^5.876 - 4*t^6. - t^4.369/y - t^4.369*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 |
---|---|---|---|---|---|---|---|---|---|
55061 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6723 | 0.8258 | 0.8141 | [M:[1.0184, 1.0876, 1.0876, 0.9124, 0.8064, 0.9124], q:[0.4908, 0.4908], qb:[0.4217, 0.7719], phi:[0.4562]] | t^2.419 + 3*t^2.737 + t^3.055 + 2*t^3.788 + t^3.899 + 2*t^4.106 + 3*t^4.313 + t^4.839 + 3*t^5.157 + 7*t^5.475 + t^5.793 - 5*t^6. - t^4.369/y - t^4.369*y | detail |