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 |
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3027 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.7025 | 0.899 | 0.7815 | [M:[0.9494, 1.0925, 1.1344, 0.8656, 0.6806, 0.6806, 0.7226], q:[0.7731, 0.5462], qb:[0.5043, 0.3613], phi:[0.4538]] | [M:[[13], [-4], [5], [-5], [3], [3], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | 2*t^2.042 + t^2.168 + t^2.597 + t^2.723 + t^2.848 + t^3.277 + t^3.403 + t^3.529 + 4*t^4.084 + 2*t^4.21 + t^4.335 + t^4.387 + t^4.513 + 3*t^4.639 + 3*t^4.764 + 3*t^4.89 + t^5.016 + t^5.194 + 3*t^5.319 + 4*t^5.445 + 3*t^5.571 + 2*t^5.697 - t^6. + 7*t^6.126 + 6*t^6.251 + 3*t^6.377 + t^6.429 + t^6.503 + t^6.555 + 5*t^6.681 + 6*t^6.806 + 7*t^6.932 + t^6.984 + 4*t^7.058 + t^7.11 + t^7.184 + t^7.236 + 5*t^7.361 + 8*t^7.487 + 8*t^7.613 + 5*t^7.738 + 2*t^7.864 - t^7.916 - 2*t^8.042 + 10*t^8.168 + 11*t^8.293 - t^8.345 + 8*t^8.419 - t^8.471 + 4*t^8.545 - 3*t^8.597 + t^8.671 + 5*t^8.723 + t^8.774 + 7*t^8.848 + t^8.9 + 13*t^8.974 - t^4.361/y - (2*t^6.403)/y - t^6.529/y + t^7.084/y + t^7.21/y + t^7.513/y + (2*t^7.639)/y + (3*t^7.764)/y + (3*t^7.89)/y + t^8.016/y + t^8.194/y + (5*t^8.319)/y + t^8.445/y + (2*t^8.571)/y + t^8.874/y - t^4.361*y - 2*t^6.403*y - t^6.529*y + t^7.084*y + t^7.21*y + t^7.513*y + 2*t^7.639*y + 3*t^7.764*y + 3*t^7.89*y + t^8.016*y + t^8.194*y + 5*t^8.319*y + t^8.445*y + 2*t^8.571*y + t^8.874*y | 2*g1^3*t^2.042 + g1^12*t^2.168 + t^2.597/g1^5 + g1^4*t^2.723 + g1^13*t^2.848 + t^3.277/g1^4 + g1^5*t^3.403 + g1^14*t^3.529 + 4*g1^6*t^4.084 + 2*g1^15*t^4.21 + g1^24*t^4.335 + t^4.387/g1^20 + t^4.513/g1^11 + (3*t^4.639)/g1^2 + 3*g1^7*t^4.764 + 3*g1^16*t^4.89 + g1^25*t^5.016 + t^5.194/g1^10 + (3*t^5.319)/g1 + 4*g1^8*t^5.445 + 3*g1^17*t^5.571 + 2*g1^26*t^5.697 - t^6. + 7*g1^9*t^6.126 + 6*g1^18*t^6.251 + 3*g1^27*t^6.377 + t^6.429/g1^17 + g1^36*t^6.503 + t^6.555/g1^8 + 5*g1*t^6.681 + 6*g1^10*t^6.806 + 7*g1^19*t^6.932 + t^6.984/g1^25 + 4*g1^28*t^7.058 + t^7.11/g1^16 + g1^37*t^7.184 + t^7.236/g1^7 + 5*g1^2*t^7.361 + 8*g1^11*t^7.487 + 8*g1^20*t^7.613 + 5*g1^29*t^7.738 + 2*g1^38*t^7.864 - t^7.916/g1^6 - 2*g1^3*t^8.042 + 10*g1^12*t^8.168 + 11*g1^21*t^8.293 - t^8.345/g1^23 + 8*g1^30*t^8.419 - t^8.471/g1^14 + 4*g1^39*t^8.545 - (3*t^8.597)/g1^5 + g1^48*t^8.671 + 5*g1^4*t^8.723 + t^8.774/g1^40 + 7*g1^13*t^8.848 + t^8.9/g1^31 + 13*g1^22*t^8.974 - (g1^2*t^4.361)/y - (2*g1^5*t^6.403)/y - (g1^14*t^6.529)/y + (g1^6*t^7.084)/y + (g1^15*t^7.21)/y + t^7.513/(g1^11*y) + (2*t^7.639)/(g1^2*y) + (3*g1^7*t^7.764)/y + (3*g1^16*t^7.89)/y + (g1^25*t^8.016)/y + t^8.194/(g1^10*y) + (5*t^8.319)/(g1*y) + (g1^8*t^8.445)/y + (2*g1^17*t^8.571)/y + t^8.874/(g1^9*y) - g1^2*t^4.361*y - 2*g1^5*t^6.403*y - g1^14*t^6.529*y + g1^6*t^7.084*y + g1^15*t^7.21*y + (t^7.513*y)/g1^11 + (2*t^7.639*y)/g1^2 + 3*g1^7*t^7.764*y + 3*g1^16*t^7.89*y + g1^25*t^8.016*y + (t^8.194*y)/g1^10 + (5*t^8.319*y)/g1 + g1^8*t^8.445*y + 2*g1^17*t^8.571*y + (t^8.874*y)/g1^9 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1977 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6827 | 0.8615 | 0.7925 | [M:[0.9635, 1.0882, 1.1398, 0.8602, 0.6839, 0.6839], q:[0.772, 0.5441], qb:[0.4924, 0.3678], phi:[0.4559]] | 2*t^2.052 + t^2.581 + t^2.736 + t^2.89 + t^3.264 + t^3.419 + t^3.574 + t^3.793 + 4*t^4.103 + t^4.322 + t^4.477 + 3*t^4.632 + 2*t^4.787 + 2*t^4.942 + t^5.161 + 3*t^5.316 + 3*t^5.471 + 2*t^5.626 + t^5.781 + 2*t^5.845 - t^6. - t^4.368/y - t^4.368*y | detail |