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 |
---|---|---|---|---|---|---|---|---|---|
3194 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.7023 | 0.8898 | 0.7893 | [M:[0.9666, 0.7815, 0.9203, 0.8278, 1.1722, 0.689, 0.8278], q:[0.6427, 0.3907], qb:[0.437, 0.7815], phi:[0.437]] | [M:[[-18], [2], [-13], [-3], [3], [12], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.067 + t^2.344 + 2*t^2.483 + t^2.622 + t^2.761 + t^2.9 + t^3.656 + t^3.794 + t^4.134 + t^4.273 + 2*t^4.411 + 3*t^4.55 + 2*t^4.689 + 3*t^4.828 + 5*t^4.967 + 3*t^5.105 + t^5.167 + 3*t^5.244 + 2*t^5.383 + 2*t^5.522 + t^5.661 + t^5.722 + t^5.799 - 2*t^6. + t^6.139 + t^6.201 + 2*t^6.278 + t^6.339 + t^6.416 + 2*t^6.478 + t^6.555 + 3*t^6.617 + 3*t^6.756 + 5*t^6.895 + 7*t^7.033 + 5*t^7.172 + t^7.234 + 6*t^7.311 + 9*t^7.45 + t^7.512 + 8*t^7.589 + t^7.65 + 6*t^7.727 + t^7.789 + 6*t^7.866 - t^7.928 + 4*t^8.005 - 2*t^8.067 + 4*t^8.144 - t^8.206 + t^8.267 + 3*t^8.283 - 3*t^8.344 + t^8.406 + 2*t^8.421 - 5*t^8.483 + 2*t^8.545 + t^8.56 - 2*t^8.622 + 3*t^8.684 + t^8.699 - t^8.761 + 4*t^8.823 - t^8.9 + 5*t^8.961 - t^4.311/y - t^6.378/y - t^6.656/y - t^6.794/y - t^6.933/y - t^7.072/y - t^7.211/y + (2*t^7.411)/y + (3*t^7.55)/y + (2*t^7.689)/y + (4*t^7.828)/y + (4*t^7.967)/y + (3*t^8.105)/y + (4*t^8.244)/y + (3*t^8.383)/y - t^8.445/y + t^8.522/y + t^8.661/y - t^4.311*y - t^6.378*y - t^6.656*y - t^6.794*y - t^6.933*y - t^7.072*y - t^7.211*y + 2*t^7.411*y + 3*t^7.55*y + 2*t^7.689*y + 4*t^7.828*y + 4*t^7.967*y + 3*t^8.105*y + 4*t^8.244*y + 3*t^8.383*y - t^8.445*y + t^8.522*y + t^8.661*y | g1^12*t^2.067 + g1^2*t^2.344 + (2*t^2.483)/g1^3 + t^2.622/g1^8 + t^2.761/g1^13 + t^2.9/g1^18 + t^3.656/g1^2 + t^3.794/g1^7 + g1^24*t^4.134 + g1^19*t^4.273 + 2*g1^14*t^4.411 + 3*g1^9*t^4.55 + 2*g1^4*t^4.689 + (3*t^4.828)/g1 + (5*t^4.967)/g1^6 + (3*t^5.105)/g1^11 + g1^30*t^5.167 + (3*t^5.244)/g1^16 + (2*t^5.383)/g1^21 + (2*t^5.522)/g1^26 + t^5.661/g1^31 + g1^10*t^5.722 + t^5.799/g1^36 - 2*t^6. + t^6.139/g1^5 + g1^36*t^6.201 + (2*t^6.278)/g1^10 + g1^31*t^6.339 + t^6.416/g1^15 + 2*g1^26*t^6.478 + t^6.555/g1^20 + 3*g1^21*t^6.617 + 3*g1^16*t^6.756 + 5*g1^11*t^6.895 + 7*g1^6*t^7.033 + 5*g1*t^7.172 + g1^42*t^7.234 + (6*t^7.311)/g1^4 + (9*t^7.45)/g1^9 + g1^32*t^7.512 + (8*t^7.589)/g1^14 + g1^27*t^7.65 + (6*t^7.727)/g1^19 + g1^22*t^7.789 + (6*t^7.866)/g1^24 - g1^17*t^7.928 + (4*t^8.005)/g1^29 - 2*g1^12*t^8.067 + (4*t^8.144)/g1^34 - g1^7*t^8.206 + g1^48*t^8.267 + (3*t^8.283)/g1^39 - 3*g1^2*t^8.344 + g1^43*t^8.406 + (2*t^8.421)/g1^44 - (5*t^8.483)/g1^3 + 2*g1^38*t^8.545 + t^8.56/g1^49 - (2*t^8.622)/g1^8 + 3*g1^33*t^8.684 + t^8.699/g1^54 - t^8.761/g1^13 + 4*g1^28*t^8.823 - t^8.9/g1^18 + 5*g1^23*t^8.961 - t^4.311/(g1^4*y) - (g1^8*t^6.378)/y - t^6.656/(g1^2*y) - t^6.794/(g1^7*y) - t^6.933/(g1^12*y) - t^7.072/(g1^17*y) - t^7.211/(g1^22*y) + (2*g1^14*t^7.411)/y + (3*g1^9*t^7.55)/y + (2*g1^4*t^7.689)/y + (4*t^7.828)/(g1*y) + (4*t^7.967)/(g1^6*y) + (3*t^8.105)/(g1^11*y) + (4*t^8.244)/(g1^16*y) + (3*t^8.383)/(g1^21*y) - (g1^20*t^8.445)/y + t^8.522/(g1^26*y) + t^8.661/(g1^31*y) - (t^4.311*y)/g1^4 - g1^8*t^6.378*y - (t^6.656*y)/g1^2 - (t^6.794*y)/g1^7 - (t^6.933*y)/g1^12 - (t^7.072*y)/g1^17 - (t^7.211*y)/g1^22 + 2*g1^14*t^7.411*y + 3*g1^9*t^7.55*y + 2*g1^4*t^7.689*y + (4*t^7.828*y)/g1 + (4*t^7.967*y)/g1^6 + (3*t^8.105*y)/g1^11 + (4*t^8.244*y)/g1^16 + (3*t^8.383*y)/g1^21 - g1^20*t^8.445*y + (t^8.522*y)/g1^26 + (t^8.661*y)/g1^31 |
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 |
---|---|---|---|---|---|---|---|---|
5062 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6848 | 0.8587 | 0.7975 | [M:[0.9631, 0.7819, 0.9178, 0.8272, 1.1728, 0.6913, 0.8272, 1.2181], q:[0.646, 0.3909], qb:[0.4362, 0.7819], phi:[0.4362]] | t^2.074 + 2*t^2.482 + t^2.617 + t^2.753 + t^2.889 + 2*t^3.654 + t^3.79 + t^4.148 + t^4.284 + t^4.42 + 3*t^4.555 + t^4.691 + t^4.827 + 4*t^4.963 + 2*t^5.099 + t^5.185 + 2*t^5.235 + 2*t^5.371 + 2*t^5.507 + t^5.642 + 2*t^5.728 + t^5.778 - 3*t^6. - t^4.309/y - t^4.309*y | detail | |
5064 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7199 | 0.9211 | 0.7816 | [M:[0.9701, 0.7811, 0.9228, 0.8283, 1.1717, 0.6866, 0.8283, 0.7811], q:[0.6394, 0.3906], qb:[0.4378, 0.7811], phi:[0.4378]] | t^2.06 + 2*t^2.343 + 2*t^2.485 + t^2.627 + t^2.768 + t^2.91 + t^3.798 + t^4.12 + t^4.261 + 3*t^4.403 + 3*t^4.545 + 4*t^4.687 + 5*t^4.828 + 6*t^4.97 + 4*t^5.112 + t^5.15 + 4*t^5.253 + 2*t^5.395 + 2*t^5.537 + t^5.679 + t^5.82 - 3*t^6. - t^4.313/y - t^4.313*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 |
---|---|---|---|---|---|---|---|---|---|
2104 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6877 | 0.8645 | 0.7955 | [M:[0.9733, 0.7807, 0.9252, 0.8289, 1.1711, 0.6844], q:[0.6363, 0.3904], qb:[0.4385, 0.7807], phi:[0.4385]] | t^2.053 + t^2.342 + t^2.487 + t^2.631 + t^2.776 + t^2.92 + t^3.513 + t^3.658 + t^3.802 + t^4.107 + t^4.251 + 2*t^4.396 + 2*t^4.54 + 2*t^4.684 + 2*t^4.829 + 3*t^4.973 + 2*t^5.118 + t^5.133 + 2*t^5.262 + t^5.407 + 2*t^5.551 + t^5.567 + t^5.696 + t^5.711 + t^5.84 + t^5.856 - t^6. - t^4.316/y - t^4.316*y | detail |