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 |
---|---|---|---|---|---|---|---|---|---|
57385 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4532 | 1.64 | 0.8861 | [X:[1.3357], M:[0.9965], q:[0.5053, 0.4982], qb:[0.4982, 0.5053], phi:[0.3322]] | [X:[[0, 2]], M:[[0, -3]], q:[[-1, 9], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | 3*t^2.989 + t^3.011 + t^3.032 + t^3.986 + 3*t^4.007 + t^4.028 + t^4.982 + 2*t^5.004 + t^5.025 + 2*t^5.502 + 2*t^5.523 + 4*t^5.979 - t^6. + 2*t^6.021 + t^6.042 + t^6.063 + 2*t^6.498 + 2*t^6.519 + t^6.975 + 7*t^6.996 + 5*t^7.018 + 4*t^7.039 + t^7.06 + 2*t^7.474 + 2*t^7.537 + 2*t^7.972 + 7*t^7.993 + 8*t^8.014 + 5*t^8.035 + 2*t^8.056 - 2*t^8.47 + 2*t^8.512 + 2*t^8.533 + 2*t^8.554 + 6*t^8.968 - t^8.989 + t^8.989/y^2 - t^3.996/y - t^4.993/y - (3*t^6.986)/y - t^7.007/y - t^7.028/y - (3*t^7.982)/y - t^8.004/y - t^8.025/y + (2*t^8.979)/y - t^3.996*y - t^4.993*y - 3*t^6.986*y - t^7.007*y - t^7.028*y - 3*t^7.982*y - t^8.004*y - t^8.025*y + 2*t^8.979*y + t^8.989*y^2 | (3*t^2.989)/g2^3 + g2^3*t^3.011 + g2^9*t^3.032 + t^3.986/g2^4 + 3*g2^2*t^4.007 + g2^8*t^4.028 + t^4.982/g2^5 + 2*g2*t^5.004 + g2^7*t^5.025 + (g1^3*t^5.502)/g2^13 + (g2^14*t^5.502)/g1^3 + (g1^3*t^5.523)/g2^7 + (g2^20*t^5.523)/g1^3 + (4*t^5.979)/g2^6 - t^6. + 2*g2^6*t^6.021 + g2^12*t^6.042 + g2^18*t^6.063 + (g1^3*t^6.498)/g2^14 + (g2^13*t^6.498)/g1^3 + (g1^3*t^6.519)/g2^8 + (g2^19*t^6.519)/g1^3 + t^6.975/g2^7 + (7*t^6.996)/g2 + 5*g2^5*t^7.018 + 4*g2^11*t^7.039 + g2^17*t^7.06 + (g1^3*t^7.474)/g2^21 + (g2^6*t^7.474)/g1^3 + (g1^3*t^7.537)/g2^3 + (g2^24*t^7.537)/g1^3 + (2*t^7.972)/g2^8 + (7*t^7.993)/g2^2 + 8*g2^4*t^8.014 + 5*g2^10*t^8.035 + 2*g2^16*t^8.056 - (g1^3*t^8.47)/g2^22 - (g2^5*t^8.47)/g1^3 + (g1^3*t^8.512)/g2^10 + (g2^17*t^8.512)/g1^3 + (g1^3*t^8.533)/g2^4 + (g2^23*t^8.533)/g1^3 + g1^3*g2^2*t^8.554 + (g2^29*t^8.554)/g1^3 + (6*t^8.968)/g2^9 - t^8.989/g2^3 + t^8.989/(g2^3*y^2) - t^3.996/(g2*y) - t^4.993/(g2^2*y) - (3*t^6.986)/(g2^4*y) - (g2^2*t^7.007)/y - (g2^8*t^7.028)/y - (3*t^7.982)/(g2^5*y) - (g2*t^8.004)/y - (g2^7*t^8.025)/y + (2*t^8.979)/(g2^6*y) - (t^3.996*y)/g2 - (t^4.993*y)/g2^2 - (3*t^6.986*y)/g2^4 - g2^2*t^7.007*y - g2^8*t^7.028*y - (3*t^7.982*y)/g2^5 - g2*t^8.004*y - g2^7*t^8.025*y + (2*t^8.979*y)/g2^6 + (t^8.989*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
58495 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.474 | 1.6815 | 0.8766 | [X:[1.3355], M:[0.9967, 0.671], q:[0.5049, 0.4984], qb:[0.4984, 0.5049], phi:[0.3322]] | t^2.01 + 3*t^2.99 + t^3.01 + t^3.03 + 3*t^4.01 + 2*t^4.03 + t^4.98 + 5*t^5. + 2*t^5.02 + t^5.04 + 2*t^5.5 + 2*t^5.52 + 4*t^5.98 - t^6. - t^4./y - t^4.99/y - t^4.*y - t^4.99*y | detail | |
58494 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4539 | 1.64 | 0.8865 | [X:[1.3404], M:[0.9894, 0.9894], q:[0.5159, 0.4947], qb:[0.4947, 0.5159], phi:[0.3298]] | 4*t^2.97 + t^3.1 + t^3.96 + 3*t^4.02 + t^4.08 + t^4.95 + 2*t^5.01 + t^5.07 + 2*t^5.51 + 2*t^5.57 + 8*t^5.94 - 4*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*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 |
---|---|---|---|---|---|---|---|---|---|
47886 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6417 | 0.8864 | [X:[1.3445], M:[0.9482], q:[0.49, 0.5268], qb:[0.4916, 0.525], phi:[0.3278]] | t^2.845 + t^2.945 + t^2.95 + t^3.045 + t^3.055 + t^3.928 + t^4.028 + t^4.033 + t^4.038 + t^4.139 + t^4.911 + t^5.012 + t^5.022 + t^5.122 + t^5.504 + t^5.508 + t^5.608 + t^5.614 + t^5.689 + t^5.789 + t^5.794 + t^5.89 + t^5.895 + t^5.9 + t^5.99 + t^5.995 - 3*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y | detail |