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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56047 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6825 | 0.8716 | 0.783 | [M:[1.1841, 0.8159, 0.8159, 0.7629, 0.7365, 0.8423, 0.7894], q:[0.3815, 0.4344], qb:[0.8026, 0.8026], phi:[0.3947]] | [M:[[-6], [6], [6], [-14], [-24], [16], [-4]], q:[[-7], [13]], qb:[[1], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}M_{1}M_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0 | t^2.209 + t^2.289 + 2*t^2.368 + 2*t^2.448 + t^2.527 + t^3.552 + t^3.711 + t^4.419 + t^4.498 + 3*t^4.578 + 4*t^4.657 + 6*t^4.736 + 6*t^4.816 + 5*t^4.895 + 2*t^4.975 + t^5.054 + t^5.762 + t^5.921 + t^6.079 + t^6.159 + t^6.238 + t^6.628 + t^6.708 + 3*t^6.787 + 5*t^6.866 + 8*t^6.946 + 10*t^7.025 + 13*t^7.105 + 11*t^7.184 + 10*t^7.264 + 7*t^7.343 + 5*t^7.422 + 2*t^7.502 + t^7.581 + t^7.971 + t^8.13 - 2*t^8.209 - 3*t^8.289 - 5*t^8.368 - 4*t^8.448 - 3*t^8.527 + t^8.606 + t^8.686 + t^8.765 + t^8.838 + t^8.917 + 3*t^8.997 - t^4.184/y - t^6.394/y - t^6.473/y - (2*t^6.552)/y - t^6.632/y - t^6.711/y + t^7.498/y + (2*t^7.578)/y + (5*t^7.657)/y + (5*t^7.736)/y + (7*t^7.816)/y + (4*t^7.895)/y + (3*t^7.975)/y - t^8.603/y - t^8.682/y - (2*t^8.762)/y - (2*t^8.841)/y - (2*t^8.921)/y - t^4.184*y - t^6.394*y - t^6.473*y - 2*t^6.552*y - t^6.632*y - t^6.711*y + t^7.498*y + 2*t^7.578*y + 5*t^7.657*y + 5*t^7.736*y + 7*t^7.816*y + 4*t^7.895*y + 3*t^7.975*y - t^8.603*y - t^8.682*y - 2*t^8.762*y - 2*t^8.841*y - 2*t^8.921*y | t^2.209/g1^24 + t^2.289/g1^14 + (2*t^2.368)/g1^4 + 2*g1^6*t^2.448 + g1^16*t^2.527 + t^3.552/g1^6 + g1^14*t^3.711 + t^4.419/g1^48 + t^4.498/g1^38 + (3*t^4.578)/g1^28 + (4*t^4.657)/g1^18 + (6*t^4.736)/g1^8 + 6*g1^2*t^4.816 + 5*g1^12*t^4.895 + 2*g1^22*t^4.975 + g1^32*t^5.054 + t^5.762/g1^30 + t^5.921/g1^10 + g1^10*t^6.079 + g1^20*t^6.159 + g1^30*t^6.238 + t^6.628/g1^72 + t^6.708/g1^62 + (3*t^6.787)/g1^52 + (5*t^6.866)/g1^42 + (8*t^6.946)/g1^32 + (10*t^7.025)/g1^22 + (13*t^7.105)/g1^12 + (11*t^7.184)/g1^2 + 10*g1^8*t^7.264 + 7*g1^18*t^7.343 + 5*g1^28*t^7.422 + 2*g1^38*t^7.502 + g1^48*t^7.581 + t^7.971/g1^54 + t^8.13/g1^34 - (2*t^8.209)/g1^24 - (3*t^8.289)/g1^14 - (5*t^8.368)/g1^4 - 4*g1^6*t^8.448 - 3*g1^16*t^8.527 + g1^26*t^8.606 + g1^36*t^8.686 + g1^46*t^8.765 + t^8.838/g1^96 + t^8.917/g1^86 + (3*t^8.997)/g1^76 - t^4.184/(g1^2*y) - t^6.394/(g1^26*y) - t^6.473/(g1^16*y) - (2*t^6.552)/(g1^6*y) - (g1^4*t^6.632)/y - (g1^14*t^6.711)/y + t^7.498/(g1^38*y) + (2*t^7.578)/(g1^28*y) + (5*t^7.657)/(g1^18*y) + (5*t^7.736)/(g1^8*y) + (7*g1^2*t^7.816)/y + (4*g1^12*t^7.895)/y + (3*g1^22*t^7.975)/y - t^8.603/(g1^50*y) - t^8.682/(g1^40*y) - (2*t^8.762)/(g1^30*y) - (2*t^8.841)/(g1^20*y) - (2*t^8.921)/(g1^10*y) - (t^4.184*y)/g1^2 - (t^6.394*y)/g1^26 - (t^6.473*y)/g1^16 - (2*t^6.552*y)/g1^6 - g1^4*t^6.632*y - g1^14*t^6.711*y + (t^7.498*y)/g1^38 + (2*t^7.578*y)/g1^28 + (5*t^7.657*y)/g1^18 + (5*t^7.736*y)/g1^8 + 7*g1^2*t^7.816*y + 4*g1^12*t^7.895*y + 3*g1^22*t^7.975*y - (t^8.603*y)/g1^50 - (t^8.682*y)/g1^40 - (2*t^8.762*y)/g1^30 - (2*t^8.841*y)/g1^20 - (2*t^8.921*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
58100 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.7012 | 0.9062 | 0.7738 | [M:[1.18, 0.82, 0.82, 0.7533, 0.72, 0.8534, 0.7867, 0.7533], q:[0.3767, 0.4434], qb:[0.8033, 0.8033], phi:[0.3933]] | t^2.16 + 2*t^2.26 + 2*t^2.36 + 2*t^2.46 + t^2.56 + t^3.54 + t^4.32 + 2*t^4.42 + 5*t^4.52 + 6*t^4.62 + 8*t^4.72 + 7*t^4.82 + 5*t^4.92 + 2*t^5.02 + t^5.12 + t^5.7 + t^5.8 - t^6. - t^4.18/y - t^4.18*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 |
---|---|---|---|---|---|---|---|---|---|
50756 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6654 | 0.8413 | 0.7909 | [M:[1.1857, 0.8143, 0.8143, 0.7667, 0.7428, 0.8381], q:[0.3833, 0.431], qb:[0.8024, 0.8024], phi:[0.3952]] | t^2.229 + t^2.3 + t^2.371 + 2*t^2.443 + t^2.514 + t^3.557 + t^3.629 + t^3.7 + t^4.457 + t^4.528 + 2*t^4.6 + 3*t^4.671 + 4*t^4.743 + 4*t^4.814 + 4*t^4.886 + 2*t^4.957 + t^5.029 + t^5.786 + t^5.857 + t^5.929 + t^6. - t^4.186/y - t^4.186*y | detail |