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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47210 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6846 | 0.8444 | 0.8107 | [M:[0.9869, 1.0, 1.114, 0.772, 0.785], q:[0.5635, 0.4495], qb:[0.4365, 0.7785], phi:[0.443]] | [M:[[-18], [0], [4], [-8], [10]], q:[[11], [7]], qb:[[-11], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}^{2}$ | ${}$ | -1 | t^2.316 + t^2.355 + t^2.658 + t^2.961 + t^3. + t^3.342 + t^3.948 + t^3.987 + 2*t^4.026 + t^4.329 + t^4.368 + t^4.632 + t^4.671 + 2*t^4.71 + t^4.974 + t^5.013 + t^5.277 + 3*t^5.316 + t^5.355 + t^5.658 + t^5.697 + t^5.922 - t^6. - t^6.039 + t^6.264 + 2*t^6.303 + 2*t^6.342 + t^6.381 + t^6.606 + t^6.645 + 3*t^6.684 + t^6.723 + t^6.908 + 2*t^6.948 + 2*t^6.987 + 3*t^7.026 + 2*t^7.065 + t^7.29 + t^7.329 + 2*t^7.368 + t^7.593 + 2*t^7.632 + 2*t^7.671 + t^7.71 + t^7.895 + t^7.935 + 3*t^7.974 + t^8.013 + 3*t^8.052 + t^8.237 + 2*t^8.277 - t^8.316 - 2*t^8.355 + t^8.579 + t^8.619 + 2*t^8.658 + 3*t^8.736 + t^8.882 + t^8.922 - t^8.961 - t^4.329/y - t^6.645/y - t^6.684/y - t^7.29/y + t^7.368/y + t^7.671/y + (2*t^7.974)/y + (2*t^8.013)/y + t^8.277/y + (2*t^8.316)/y + t^8.355/y + t^8.619/y + (2*t^8.658)/y + t^8.697/y - t^4.329*y - t^6.645*y - t^6.684*y - t^7.29*y + t^7.368*y + t^7.671*y + 2*t^7.974*y + 2*t^8.013*y + t^8.277*y + 2*t^8.316*y + t^8.355*y + t^8.619*y + 2*t^8.658*y + t^8.697*y | t^2.316/g1^8 + g1^10*t^2.355 + t^2.658/g1^4 + t^2.961/g1^18 + t^3. + g1^4*t^3.342 + t^3.948/g1^24 + t^3.987/g1^6 + 2*g1^12*t^4.026 + t^4.329/g1^2 + g1^16*t^4.368 + t^4.632/g1^16 + g1^2*t^4.671 + 2*g1^20*t^4.71 + t^4.974/g1^12 + g1^6*t^5.013 + t^5.277/g1^26 + (3*t^5.316)/g1^8 + g1^10*t^5.355 + t^5.658/g1^4 + g1^14*t^5.697 + t^5.922/g1^36 - t^6. - g1^18*t^6.039 + t^6.264/g1^32 + (2*t^6.303)/g1^14 + 2*g1^4*t^6.342 + g1^22*t^6.381 + t^6.606/g1^28 + t^6.645/g1^10 + 3*g1^8*t^6.684 + g1^26*t^6.723 + t^6.908/g1^42 + (2*t^6.948)/g1^24 + (2*t^6.987)/g1^6 + 3*g1^12*t^7.026 + 2*g1^30*t^7.065 + t^7.29/g1^20 + t^7.329/g1^2 + 2*g1^16*t^7.368 + t^7.593/g1^34 + (2*t^7.632)/g1^16 + 2*g1^2*t^7.671 + g1^20*t^7.71 + t^7.895/g1^48 + t^7.935/g1^30 + (3*t^7.974)/g1^12 + g1^6*t^8.013 + 3*g1^24*t^8.052 + t^8.237/g1^44 + (2*t^8.277)/g1^26 - t^8.316/g1^8 - 2*g1^10*t^8.355 + t^8.579/g1^40 + t^8.619/g1^22 + (2*t^8.658)/g1^4 + 3*g1^32*t^8.736 + t^8.882/g1^54 + t^8.922/g1^36 - t^8.961/g1^18 - t^4.329/(g1^2*y) - t^6.645/(g1^10*y) - (g1^8*t^6.684)/y - t^7.29/(g1^20*y) + (g1^16*t^7.368)/y + (g1^2*t^7.671)/y + (2*t^7.974)/(g1^12*y) + (2*g1^6*t^8.013)/y + t^8.277/(g1^26*y) + (2*t^8.316)/(g1^8*y) + (g1^10*t^8.355)/y + t^8.619/(g1^22*y) + (2*t^8.658)/(g1^4*y) + (g1^14*t^8.697)/y - (t^4.329*y)/g1^2 - (t^6.645*y)/g1^10 - g1^8*t^6.684*y - (t^7.29*y)/g1^20 + g1^16*t^7.368*y + g1^2*t^7.671*y + (2*t^7.974*y)/g1^12 + 2*g1^6*t^8.013*y + (t^8.277*y)/g1^26 + (2*t^8.316*y)/g1^8 + g1^10*t^8.355*y + (t^8.619*y)/g1^22 + (2*t^8.658*y)/g1^4 + g1^14*t^8.697*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 |
---|---|---|---|---|---|---|---|---|
55608 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7054 | 0.8858 | 0.7964 | [M:[0.9874, 1.0, 1.1139, 0.7722, 0.7848, 0.6709], q:[0.5633, 0.4494], qb:[0.4367, 0.7785], phi:[0.443]] | t^2.013 + t^2.316 + t^2.354 + t^2.658 + t^2.962 + t^3. + t^3.342 + t^3.949 + 3*t^4.025 + 2*t^4.329 + 2*t^4.367 + t^4.633 + 2*t^4.671 + 2*t^4.709 + 2*t^4.975 + 2*t^5.013 + t^5.279 + 3*t^5.316 + 2*t^5.354 + t^5.658 + t^5.696 + t^5.924 + t^5.962 - t^6. - t^4.329/y - t^4.329*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 |
---|---|---|---|---|---|---|---|---|---|
46630 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8194 | [M:[0.9688, 1.0, 1.118, 0.7639], q:[0.5746, 0.4566], qb:[0.4254, 0.7795], phi:[0.441]] | t^2.292 + t^2.646 + t^2.907 + t^3. + t^3.354 + t^3.615 + t^3.875 + t^3.969 + 2*t^4.062 + t^4.323 + t^4.416 + t^4.584 + t^4.771 + t^4.938 + t^5.198 + 2*t^5.292 + t^5.646 + t^5.813 + t^5.907 - t^6. - t^4.323/y - t^4.323*y | detail |