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 |
---|---|---|---|---|---|---|---|---|---|
46346 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4729 | 0.5526 | 0.8558 | [X:[1.4498], M:[0.8995, 1.1005, 0.7512, 0.8995], q:[0.4127, 0.6878], qb:[0.4869, 1.3122], phi:[0.2751]] | [X:[[4]], M:[[8], [-8], [-20], [8]], q:[[-3], [-5]], qb:[[11], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.254 + 2*t^2.699 + t^3.524 + t^4.349 + t^4.507 + 2*t^4.952 + 3*t^5.397 - 2*t^6. + t^6.223 + t^6.761 - t^6.825 + t^7.048 + 2*t^7.206 + 2*t^7.651 + 3*t^8.096 - 2*t^8.254 - 4*t^8.699 + t^8.921 - t^3.825/y - t^6.079/y - t^6.524/y + t^7.127/y + t^7.572/y + (2*t^7.952)/y - t^8.332/y + t^8.397/y - t^3.825*y - t^6.079*y - t^6.524*y + t^7.127*y + t^7.572*y + 2*t^7.952*y - t^8.332*y + t^8.397*y | t^2.254/g1^20 + 2*g1^8*t^2.699 + g1^6*t^3.524 + g1^4*t^4.349 + t^4.507/g1^40 + (2*t^4.952)/g1^12 + 3*g1^16*t^5.397 - 2*t^6. + g1^14*t^6.223 + t^6.761/g1^60 - t^6.825/g1^2 + g1^12*t^7.048 + (2*t^7.206)/g1^32 + (2*t^7.651)/g1^4 + 3*g1^24*t^8.096 - (2*t^8.254)/g1^20 - 4*g1^8*t^8.699 + g1^22*t^8.921 - t^3.825/(g1^2*y) - t^6.079/(g1^22*y) - (g1^6*t^6.524)/y + t^7.127/(g1^10*y) + (g1^18*t^7.572)/y + (2*t^7.952)/(g1^12*y) - t^8.332/(g1^42*y) + (g1^16*t^8.397)/y - (t^3.825*y)/g1^2 - (t^6.079*y)/g1^22 - g1^6*t^6.524*y + (t^7.127*y)/g1^10 + g1^18*t^7.572*y + (2*t^7.952*y)/g1^12 - (t^8.332*y)/g1^42 + g1^16*t^8.397*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 |
---|---|---|---|---|---|---|---|---|
46857 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}^{2}$ | 0.4439 | 0.5252 | 0.8453 | [X:[1.4], M:[0.8, 1.2, 1.0, 0.8], q:[0.45, 0.75], qb:[0.35, 1.25], phi:[0.3]] | 2*t^2.4 + t^3. + t^3.3 + t^4.2 + 3*t^4.8 + 2*t^5.4 + t^5.7 - t^6. - t^3.9/y - t^3.9*y | detail | {a: 2841/6400, c: 3361/6400, X1: 7/5, M1: 4/5, M2: 6/5, M3: 1, M4: 4/5, q1: 9/20, q2: 3/4, qb1: 7/20, qb2: 5/4, phi1: 3/10} |
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 |
---|---|---|---|---|---|---|---|---|---|
46178 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.5873 | 0.7232 | 0.8121 | [M:[1.0024, 0.9976, 0.7764, 1.0024], q:[0.5858, 0.4118], qb:[0.4165, 1.0236], phi:[0.3906]] | t^2.329 + t^2.343 + t^2.485 + 2*t^3.007 + t^3.642 + t^3.657 + t^4.306 + t^4.32 + t^4.658 + t^4.673 + t^4.687 + t^4.814 + 2*t^4.828 + t^4.97 + t^5.336 + t^5.351 + 2*t^5.492 + t^5.972 + t^5.986 - 2*t^6. - t^4.172/y - t^4.172*y | detail |