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 |
---|---|---|---|---|---|---|---|---|---|
55261 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6827 | 0.8615 | 0.7925 | [M:[1.1398, 0.9635, 1.0882, 0.8602, 0.6839, 0.6839], q:[0.4924, 0.3678], qb:[0.5441, 0.772], phi:[0.4559]] | [M:[[-5], [-13], [4], [5], [-3], [-3]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | 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. + 7*t^6.155 + 2*t^6.31 + 2*t^6.374 + t^6.465 + t^6.529 + 5*t^6.684 + 3*t^6.839 + t^6.903 + 4*t^6.994 + 2*t^7.058 + t^7.149 + 2*t^7.213 + 5*t^7.368 + 5*t^7.523 + t^7.587 + 4*t^7.678 + 2*t^7.833 + 3*t^7.897 - 2*t^8.052 + t^8.116 + 11*t^8.207 + 4*t^8.362 + 2*t^8.426 + 2*t^8.516 - 2*t^8.581 + t^8.645 + t^8.671 + 6*t^8.736 + t^8.8 + 2*t^8.89 + 3*t^8.955 - t^4.368/y - (2*t^6.419)/y + t^7.103/y - t^7.258/y + t^7.477/y + (2*t^7.632)/y + (2*t^7.787)/y + (2*t^7.942)/y + (5*t^8.316)/y + (3*t^8.626)/y + (3*t^8.845)/y - t^4.368*y - 2*t^6.419*y + t^7.103*y - t^7.258*y + t^7.477*y + 2*t^7.632*y + 2*t^7.787*y + 2*t^7.942*y + 5*t^8.316*y + 3*t^8.626*y + 3*t^8.845*y | (2*t^2.052)/g1^3 + g1^5*t^2.581 + t^2.736/g1^4 + t^2.89/g1^13 + g1^4*t^3.264 + t^3.419/g1^5 + t^3.574/g1^14 + g1^12*t^3.793 + (4*t^4.103)/g1^6 + g1^20*t^4.322 + g1^11*t^4.477 + 3*g1^2*t^4.632 + (2*t^4.787)/g1^7 + (2*t^4.942)/g1^16 + g1^10*t^5.161 + 3*g1*t^5.316 + (3*t^5.471)/g1^8 + (2*t^5.626)/g1^17 + t^5.781/g1^26 + 2*g1^9*t^5.845 - t^6. + (7*t^6.155)/g1^9 + (2*t^6.31)/g1^18 + 2*g1^17*t^6.374 + t^6.465/g1^27 + g1^8*t^6.529 + (5*t^6.684)/g1 + (3*t^6.839)/g1^10 + g1^25*t^6.903 + (4*t^6.994)/g1^19 + 2*g1^16*t^7.058 + t^7.149/g1^28 + 2*g1^7*t^7.213 + (5*t^7.368)/g1^2 + (5*t^7.523)/g1^11 + g1^24*t^7.587 + (4*t^7.678)/g1^20 + (2*t^7.833)/g1^29 + 3*g1^6*t^7.897 - (2*t^8.052)/g1^3 + g1^32*t^8.116 + (11*t^8.207)/g1^12 + (4*t^8.362)/g1^21 + 2*g1^14*t^8.426 + (2*t^8.516)/g1^30 - 2*g1^5*t^8.581 + g1^40*t^8.645 + t^8.671/g1^39 + (6*t^8.736)/g1^4 + g1^31*t^8.8 + (2*t^8.89)/g1^13 + 3*g1^22*t^8.955 - t^4.368/(g1^2*y) - (2*t^6.419)/(g1^5*y) + t^7.103/(g1^6*y) - t^7.258/(g1^15*y) + (g1^11*t^7.477)/y + (2*g1^2*t^7.632)/y + (2*t^7.787)/(g1^7*y) + (2*t^7.942)/(g1^16*y) + (5*g1*t^8.316)/y + (3*t^8.626)/(g1^17*y) + (3*g1^9*t^8.845)/y - (t^4.368*y)/g1^2 - (2*t^6.419*y)/g1^5 + (t^7.103*y)/g1^6 - (t^7.258*y)/g1^15 + g1^11*t^7.477*y + 2*g1^2*t^7.632*y + (2*t^7.787*y)/g1^7 + (2*t^7.942*y)/g1^16 + 5*g1*t^8.316*y + (3*t^8.626*y)/g1^17 + 3*g1^9*t^8.845*y |
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 |
---|---|---|---|---|---|---|---|---|
56911 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.691 | 0.8759 | 0.7889 | [M:[1.1344, 0.9494, 1.0925, 0.8656, 0.6806, 0.6806, 0.9075], q:[0.5043, 0.3613], qb:[0.5462, 0.7731], phi:[0.4538]] | 2*t^2.042 + t^2.597 + 2*t^2.723 + t^2.848 + t^3.403 + t^3.529 + t^3.832 + 4*t^4.084 + t^4.387 + t^4.513 + 3*t^4.639 + 4*t^4.764 + 2*t^4.89 + t^5.194 + 2*t^5.319 + 5*t^5.445 + 3*t^5.571 + t^5.696 + t^5.874 - 2*t^6. - t^4.361/y - t^4.361*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 |
---|---|---|---|---|---|---|---|---|---|
46814 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.662 | 0.821 | 0.8063 | [M:[1.1403, 0.9647, 1.0878, 0.8597, 0.6842], q:[0.4914, 0.3683], qb:[0.5439, 0.7719], phi:[0.4561]] | t^2.052 + t^2.579 + t^2.737 + t^2.894 + t^3.263 + t^3.421 + t^3.578 + t^3.79 + t^3.948 + 2*t^4.105 + t^4.317 + t^4.474 + 2*t^4.632 + t^4.789 + t^4.946 + t^5.158 + 2*t^5.316 + 2*t^5.473 + t^5.631 + t^5.788 + t^5.843 - t^4.368/y - t^4.368*y | detail |