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 |
---|---|---|---|---|---|---|---|---|---|
3490 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{8}$ | 0.6521 | 0.8149 | 0.8003 | [X:[1.6135], M:[0.7821, 1.2269, 0.764, 1.1596, 0.3865, 0.8404, 0.7148, 0.8404], q:[0.4493, 0.7685], qb:[0.3911, 0.8449], phi:[0.3865]] | [X:[[0, 1]], M:[[2, -8], [0, 2], [-2, 4], [0, -3], [0, -1], [0, 3], [2, -13], [0, 3]], q:[[-1, 7], [-1, 1]], qb:[[1, -4], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$ | ${}$ | -3 | t^2.144 + t^2.292 + t^2.346 + 2*t^2.521 + t^3.506 + 2*t^3.681 + t^3.883 + t^4.289 + t^4.436 + t^4.491 + t^4.584 + t^4.638 + 2*t^4.666 + t^4.693 + 2*t^4.813 + t^4.84 + 2*t^4.868 + 3*t^5.042 + t^5.65 + t^5.825 + t^5.852 + t^5.973 - 3*t^6. + 4*t^6.027 + 3*t^6.202 + t^6.229 + 2*t^6.404 + t^6.433 + t^6.581 + t^6.635 + t^6.728 + t^6.783 + 2*t^6.81 + t^6.837 + t^6.876 + t^6.93 + t^6.958 + t^6.985 + 3*t^7.012 + t^7.039 + 2*t^7.105 - t^7.16 + 4*t^7.187 + 2*t^7.214 + t^7.334 + t^7.362 + 3*t^7.389 - t^7.536 + 5*t^7.564 + t^7.766 + t^7.795 + t^7.97 + t^7.997 - 3*t^8.144 + 3*t^8.172 + t^8.199 + t^8.265 - 3*t^8.292 - 2*t^8.346 + 4*t^8.374 - 6*t^8.521 + 5*t^8.548 + t^8.576 + t^8.578 - t^8.696 + 4*t^8.723 + t^8.725 + 2*t^8.75 + t^8.78 + t^8.873 + 3*t^8.925 + t^8.927 + 2*t^8.954 + t^8.982 - t^4.16/y - t^6.304/y - t^6.452/y - t^6.506/y - t^6.681/y + t^7.436/y + t^7.491/y + (2*t^7.638)/y + (2*t^7.666)/y + (3*t^7.813)/y + (3*t^7.868)/y + t^8.015/y + t^8.042/y - t^8.448/y - t^8.596/y - t^8.743/y + t^8.825/y + t^8.973/y - t^4.16*y - t^6.304*y - t^6.452*y - t^6.506*y - t^6.681*y + t^7.436*y + t^7.491*y + 2*t^7.638*y + 2*t^7.666*y + 3*t^7.813*y + 3*t^7.868*y + t^8.015*y + t^8.042*y - t^8.448*y - t^8.596*y - t^8.743*y + t^8.825*y + t^8.973*y | (g1^2*t^2.144)/g2^13 + (g2^4*t^2.292)/g1^2 + (g1^2*t^2.346)/g2^8 + 2*g2^3*t^2.521 + (g1^2*t^3.506)/g2^9 + 2*g2^2*t^3.681 + g2^7*t^3.883 + (g1^4*t^4.289)/g2^26 + t^4.436/g2^9 + (g1^4*t^4.491)/g2^21 + (g2^8*t^4.584)/g1^4 + t^4.638/g2^4 + (2*g1^2*t^4.666)/g2^10 + (g1^4*t^4.693)/g2^16 + (2*g2^7*t^4.813)/g1^2 + g2*t^4.84 + (2*g1^2*t^4.868)/g2^5 + 3*g2^6*t^5.042 + (g1^4*t^5.65)/g2^22 + (g1^2*t^5.825)/g2^11 + (g1^4*t^5.852)/g2^17 + (g2^6*t^5.973)/g1^2 - 3*t^6. + (4*g1^2*t^6.027)/g2^6 + 3*g2^5*t^6.202 + (g1^2*t^6.229)/g2 + 2*g2^10*t^6.404 + (g1^6*t^6.433)/g2^39 + (g1^2*t^6.581)/g2^22 + (g1^6*t^6.635)/g2^34 + t^6.728/(g1^2*g2^5) + (g1^2*t^6.783)/g2^17 + (2*g1^4*t^6.81)/g2^23 + (g1^6*t^6.837)/g2^29 + (g2^12*t^6.876)/g1^6 + t^6.93/g1^2 + t^6.958/g2^6 + (g1^2*t^6.985)/g2^12 + (3*g1^4*t^7.012)/g2^18 + (g1^6*t^7.039)/g2^24 + (2*g2^11*t^7.105)/g1^4 - t^7.16/g2 + (4*g1^2*t^7.187)/g2^7 + (2*g1^4*t^7.214)/g2^13 + (g2^10*t^7.334)/g1^2 + g2^4*t^7.362 + (3*g1^2*t^7.389)/g2^2 - (g2^15*t^7.536)/g1^2 + 5*g2^9*t^7.564 + g2^14*t^7.766 + (g1^6*t^7.795)/g2^35 + (g1^4*t^7.97)/g2^24 + (g1^6*t^7.997)/g2^30 - (3*g1^2*t^8.144)/g2^13 + (3*g1^4*t^8.172)/g2^19 + (g1^6*t^8.199)/g2^25 + (g2^10*t^8.265)/g1^4 - (3*g2^4*t^8.292)/g1^2 - (2*g1^2*t^8.346)/g2^8 + (4*g1^4*t^8.374)/g2^14 - 6*g2^3*t^8.521 + (5*g1^2*t^8.548)/g2^3 + (g1^4*t^8.576)/g2^9 + (g1^8*t^8.578)/g2^52 - (g2^14*t^8.696)/g1^2 + 4*g2^8*t^8.723 + (g1^4*t^8.725)/g2^35 + 2*g1^2*g2^2*t^8.75 + (g1^8*t^8.78)/g2^47 + t^8.873/g2^18 + 3*g2^13*t^8.925 + (g1^4*t^8.927)/g2^30 + (2*g1^6*t^8.954)/g2^36 + (g1^8*t^8.982)/g2^42 - t^4.16/(g2*y) - (g1^2*t^6.304)/(g2^14*y) - (g2^3*t^6.452)/(g1^2*y) - (g1^2*t^6.506)/(g2^9*y) - (g2^2*t^6.681)/y + t^7.436/(g2^9*y) + (g1^4*t^7.491)/(g2^21*y) + (2*t^7.638)/(g2^4*y) + (2*g1^2*t^7.666)/(g2^10*y) + (3*g2^7*t^7.813)/(g1^2*y) + (3*g1^2*t^7.868)/(g2^5*y) + (g2^12*t^8.015)/(g1^2*y) + (g2^6*t^8.042)/y - (g1^4*t^8.448)/(g2^27*y) - t^8.596/(g2^10*y) - (g2^7*t^8.743)/(g1^4*y) + (g1^2*t^8.825)/(g2^11*y) + (g2^6*t^8.973)/(g1^2*y) - (t^4.16*y)/g2 - (g1^2*t^6.304*y)/g2^14 - (g2^3*t^6.452*y)/g1^2 - (g1^2*t^6.506*y)/g2^9 - g2^2*t^6.681*y + (t^7.436*y)/g2^9 + (g1^4*t^7.491*y)/g2^21 + (2*t^7.638*y)/g2^4 + (2*g1^2*t^7.666*y)/g2^10 + (3*g2^7*t^7.813*y)/g1^2 + (3*g1^2*t^7.868*y)/g2^5 + (g2^12*t^8.015*y)/g1^2 + g2^6*t^8.042*y - (g1^4*t^8.448*y)/g2^27 - (t^8.596*y)/g2^10 - (g2^7*t^8.743*y)/g1^4 + (g1^2*t^8.825*y)/g2^11 + (g2^6*t^8.973*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
5139 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{3}^{2}$ + ${ }M_{1}X_{2}$ | 0.5971 | 0.7479 | 0.7984 | [X:[1.5882, 1.3528], M:[0.6472, 1.1764, 1.0, 1.2354, 0.4118, 0.7646, 0.7062, 0.7646], q:[0.441, 0.9118], qb:[0.3236, 0.6764], phi:[0.4118]] | t^2.118 + 2*t^2.294 + t^3. + t^3.177 + t^3.352 + 2*t^3.529 + t^4.058 + t^4.237 + 2*t^4.412 + 3*t^4.588 + t^4.765 + t^5.118 + 2*t^5.294 + t^5.295 + 2*t^5.471 + 2*t^5.646 + t^5.648 + 3*t^5.823 - 2*t^6. - t^4.235/y - t^4.235*y | detail | |
5156 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{7}^{2}$ | 0.6035 | 0.7595 | 0.7946 | [X:[1.584], M:[0.92, 1.168, 0.7441, 1.248, 0.416, 0.752, 1.0, 0.752], q:[0.292, 0.788], qb:[0.46, 0.796], phi:[0.416]] | t^2.232 + 2*t^2.256 + t^2.76 + t^3. + t^3.264 + 2*t^3.504 + t^4.008 + t^4.464 + 2*t^4.488 + 3*t^4.512 + t^4.752 + t^4.992 + 2*t^5.016 + t^5.232 + 2*t^5.256 + 3*t^5.52 + t^5.736 + 4*t^5.76 - 2*t^6. - t^4.248/y - t^4.248*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 |
---|---|---|---|---|---|---|---|---|---|
2902 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6388 | 0.7919 | 0.8066 | [X:[1.6177], M:[0.7844, 1.2353, 0.7449, 1.147, 0.3823, 0.853, 0.696], q:[0.4608, 0.7548], qb:[0.3922, 0.8629], phi:[0.3823]] | t^2.088 + t^2.235 + t^2.353 + t^2.559 + t^3.441 + t^3.5 + 2*t^3.706 + t^3.971 + t^4.176 + t^4.323 + t^4.441 + t^4.469 + t^4.588 + t^4.647 + t^4.707 + t^4.794 + t^4.853 + t^4.912 + t^5.118 + t^5.529 + t^5.588 + t^5.676 + 2*t^5.794 + t^5.854 + t^5.941 - 2*t^6. - t^4.147/y - t^4.147*y | detail |