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 |
---|---|---|---|---|---|---|---|---|---|
427 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6373 | 0.7771 | 0.8201 | [M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | [M:[[8], [-4], [10], [-8]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -1 | t^2.582 + t^2.709 + t^2.773 + t^3.291 + t^3.355 + t^3.418 + t^3.873 + t^3.936 + t^4. + t^4.064 + t^4.455 + t^4.582 + t^4.709 + t^5.164 + t^5.291 + t^5.418 + t^5.545 + t^5.936 - t^6. + t^6.064 + t^6.127 + t^6.191 + t^6.455 + t^6.582 + t^6.645 + t^6.709 + 2*t^6.773 + t^6.836 + t^7.037 + 2*t^7.164 + t^7.227 + 2*t^7.291 + t^7.355 + 2*t^7.418 + t^7.482 + 2*t^7.746 + t^7.809 + 2*t^7.873 + t^7.936 + t^8. + 2*t^8.127 + t^8.318 + t^8.328 + t^8.391 + t^8.455 + t^8.518 - t^8.582 - t^8.709 - t^8.773 + t^8.9 + t^8.909 + t^8.963 - t^4.355/y - t^7.127/y + t^7.582/y + t^8.291/y + t^8.355/y + t^8.482/y + t^8.873/y + t^8.936/y - t^4.355*y - t^7.127*y + t^7.582*y + t^8.291*y + t^8.355*y + t^8.482*y + t^8.873*y + t^8.936*y | t^2.582/g1^8 + g1^4*t^2.709 + g1^10*t^2.773 + t^3.291/g1^4 + g1^2*t^3.355 + g1^8*t^3.418 + t^3.873/g1^12 + t^3.936/g1^6 + t^4. + g1^6*t^4.064 + t^4.455/g1^20 + t^4.582/g1^8 + g1^4*t^4.709 + t^5.164/g1^16 + t^5.291/g1^4 + g1^8*t^5.418 + g1^20*t^5.545 + t^5.936/g1^6 - t^6. + g1^6*t^6.064 + g1^12*t^6.127 + g1^18*t^6.191 + t^6.455/g1^20 + t^6.582/g1^8 + t^6.645/g1^2 + g1^4*t^6.709 + 2*g1^10*t^6.773 + g1^16*t^6.836 + t^7.037/g1^28 + (2*t^7.164)/g1^16 + t^7.227/g1^10 + (2*t^7.291)/g1^4 + g1^2*t^7.355 + 2*g1^8*t^7.418 + g1^14*t^7.482 + (2*t^7.746)/g1^24 + t^7.809/g1^18 + (2*t^7.873)/g1^12 + t^7.936/g1^6 + t^8. + 2*g1^12*t^8.127 + g1^30*t^8.318 + t^8.328/g1^32 + t^8.391/g1^26 + t^8.455/g1^20 + t^8.518/g1^14 - t^8.582/g1^8 - g1^4*t^8.709 - g1^10*t^8.773 + g1^22*t^8.9 + t^8.909/g1^40 + g1^28*t^8.963 - (g1^2*t^4.355)/y - (g1^12*t^7.127)/y + t^7.582/(g1^8*y) + t^8.291/(g1^4*y) + (g1^2*t^8.355)/y + (g1^14*t^8.482)/y + t^8.873/(g1^12*y) + t^8.936/(g1^6*y) - g1^2*t^4.355*y - g1^12*t^7.127*y + (t^7.582*y)/g1^8 + (t^8.291*y)/g1^4 + g1^2*t^8.355*y + g1^14*t^8.482*y + (t^8.873*y)/g1^12 + (t^8.936*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
711 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6503 | 0.8006 | 0.8123 | [M:[1.1584, 1.0875, 0.948, 0.8416, 0.8416], q:[0.7719, 0.3511], qb:[0.4905, 0.5615], phi:[0.4563]] | 2*t^2.525 + t^2.738 + t^2.844 + t^3.262 + t^3.369 + t^3.787 + t^3.894 + t^4. + t^4.106 + t^4.312 + t^4.525 + t^4.738 + 3*t^5.05 + 2*t^5.262 + t^5.369 + t^5.475 + t^5.688 + t^5.787 + 2*t^5.894 - 2*t^6. - t^4.369/y - t^4.369*y | detail | |
715 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}^{2}$ | 0.6302 | 0.7718 | 0.8165 | [M:[1.2, 1.0667, 1.0, 0.8], q:[0.7667, 0.3667], qb:[0.4333, 0.5667], phi:[0.4667]] | t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 2*t^4.8 + t^5.2 + t^5.6 + t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 3781/6000, c: 4631/6000, M1: 6/5, M2: 16/15, M3: 1, M4: 4/5, q1: 23/30, q2: 11/30, qb1: 13/30, qb2: 17/30, phi1: 7/15} |
712 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.658 | 0.8173 | 0.8051 | [M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | t^2.059 + t^2.588 + t^2.706 + t^2.765 + t^3.294 + t^3.353 + t^3.412 + t^3.882 + t^4. + t^4.059 + t^4.118 + t^4.471 + t^4.588 + t^4.647 + t^4.706 + t^4.765 + t^4.823 + t^5.177 + t^5.294 + t^5.353 + 2*t^5.412 + t^5.47 + t^5.529 + 2*t^5.941 - t^6. - t^4.353/y - t^4.353*y | detail | |
713 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.648 | 0.7954 | 0.8147 | [M:[1.1448, 1.0943, 0.931, 0.8552, 0.8805], q:[0.7736, 0.346], qb:[0.5093, 0.5598], phi:[0.4529]] | t^2.566 + t^2.641 + t^2.717 + t^2.793 + t^3.283 + t^3.434 + t^3.849 + t^3.924 + t^4. + t^4.076 + t^4.414 + t^4.566 + t^4.717 + t^5.131 + t^5.207 + 2*t^5.283 + t^5.359 + 2*t^5.434 + t^5.586 + t^5.924 - t^6. - t^4.359/y - t^4.359*y | detail | |
1845 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6577 | 0.8161 | 0.8059 | [M:[1.1325, 1.1004, 0.9156, 0.8675, 0.6987], q:[0.7751, 0.3414], qb:[0.5262, 0.5582], phi:[0.4498]] | t^2.096 + t^2.603 + t^2.699 + t^2.747 + t^3.301 + t^3.349 + t^3.397 + t^3.952 + t^4. + t^4.048 + t^4.192 + t^4.506 + t^4.603 + 2*t^4.699 + t^4.795 + t^4.843 + t^5.205 + t^5.301 + 2*t^5.397 + t^5.446 + 2*t^5.494 + t^5.952 - t^6. - t^4.349/y - t^4.349*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 |
---|---|---|---|---|---|---|---|---|---|
266 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6704 | 0.8232 | 0.8144 | [M:[0.9756, 1.1208, 0.9809, 0.6759], q:[0.7802, 0.4423], qb:[0.5821, 0.437], phi:[0.4396]] | t^2.028 + t^2.638 + t^2.927 + t^2.943 + t^3.362 + t^3.651 + t^3.667 + t^3.941 + t^3.957 + t^4.055 + t^4.087 + t^4.376 + t^4.392 + t^4.665 + t^4.811 + t^4.954 + t^4.97 + t^5.275 + t^5.39 + t^5.679 + t^5.695 + t^5.854 + t^5.87 + t^5.886 + t^5.968 - 2*t^6. - t^4.319/y - t^4.319*y | detail |