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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2748 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{5}$ | 0.6005 | 0.7211 | 0.8327 | [X:[1.614], M:[0.8421, 0.7018, 1.1579, 0.386, 1.2982], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 7]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 | {a: 5203/8664, c: 781/1083, X1: 92/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 74/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | t^2.316 + t^2.526 + t^3.474 + 2*t^3.579 + t^3.684 + 2*t^3.789 + t^3.895 + t^4.632 + 2*t^4.842 + t^5.053 - t^6. + 2*t^6.105 + t^6.211 + 2*t^6.316 + t^6.421 + t^6.947 + 3*t^7.158 + 4*t^7.368 + 2*t^7.474 + 4*t^7.579 + 2*t^7.684 + t^7.789 - t^8.316 - 2*t^8.526 + 2*t^8.632 + t^8.737 + 2*t^8.842 + t^8.947 - t^4.158/y - t^6.474/y + (2*t^7.842)/y + (2*t^8.895)/y - t^4.158*y - t^6.474*y + 2*t^7.842*y + 2*t^8.895*y | t^2.316/g2^2 + g2^3*t^2.526 + t^3.474/g2^3 + (g1^2*t^3.579)/g2^9 + (g2^8*t^3.579)/g1^2 + g2^2*t^3.684 + (g1^2*t^3.789)/g2^4 + (g2^13*t^3.789)/g1^2 + g2^7*t^3.895 + t^4.632/g2^4 + 2*g2*t^4.842 + g2^6*t^5.053 - t^6. + (g1^2*t^6.105)/g2^6 + (g2^11*t^6.105)/g1^2 + g2^5*t^6.211 + (g1^2*t^6.316)/g2 + (g2^16*t^6.316)/g1^2 + g2^10*t^6.421 + t^6.947/g2^6 + (g1^4*t^7.158)/g2^18 + t^7.158/g2 + (g2^16*t^7.158)/g1^4 + (g1^4*t^7.368)/g2^13 + 2*g2^4*t^7.368 + (g2^21*t^7.368)/g1^4 + (g1^2*t^7.474)/g2^2 + (g2^15*t^7.474)/g1^2 + (g1^4*t^7.579)/g2^8 + 2*g2^9*t^7.579 + (g2^26*t^7.579)/g1^4 + g1^2*g2^3*t^7.684 + (g2^20*t^7.684)/g1^2 + g2^14*t^7.789 - t^8.316/g2^2 - 2*g2^3*t^8.526 + (g1^2*t^8.632)/g2^3 + (g2^14*t^8.632)/g1^2 + g2^8*t^8.737 + g1^2*g2^2*t^8.842 + (g2^19*t^8.842)/g1^2 + g2^13*t^8.947 - t^4.158/(g2*y) - t^6.474/(g2^3*y) + (2*g2*t^7.842)/y + (g1^2*t^8.895)/(g2^11*y) + (g2^6*t^8.895)/(g1^2*y) - (t^4.158*y)/g2 - (t^6.474*y)/g2^3 + 2*g2*t^7.842*y + (g1^2*t^8.895*y)/g2^11 + (g2^6*t^8.895*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
3259 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6187 | 0.7531 | 0.8216 | [X:[1.6168], M:[0.8504, 0.6824, 1.1496, 0.3832, 1.3176, 0.7664], q:[0.4042, 0.7454], qb:[0.4462, 0.8714], phi:[0.3832]] | 2*t^2.299 + t^2.551 + t^3.449 + 2*t^3.575 + 2*t^3.827 + t^3.953 + 3*t^4.598 + 3*t^4.85 + t^5.102 + t^5.748 + 2*t^5.874 - 2*t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
1746 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | t^2.059 + t^2.303 + t^2.546 + t^3.454 + 2*t^3.576 + t^3.697 + 2*t^3.819 + t^4.119 + t^4.362 + 2*t^4.605 + 2*t^4.849 + t^5.092 + t^5.513 + 2*t^5.635 + t^5.757 + 2*t^5.878 - t^6. - t^4.151/y - t^4.151*y | detail |