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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5071 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6915 | 0.8877 | 0.779 | [X:[1.6186], M:[0.7162, 0.8093, 0.3814, 1.1442, 0.8558, 0.6697, 0.8093, 0.7628], q:[0.8791, 0.4047], qb:[0.7395, 0.4512], phi:[0.3814]] | [X:[[4]], M:[[-18], [2], [-4], [-12], [12], [-28], [2], [-8]], q:[[17], [1]], qb:[[-13], [11]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.009 + t^2.149 + 2*t^2.288 + 2*t^2.428 + t^2.568 + t^3.432 + t^3.851 + t^4.018 + t^4.158 + 3*t^4.297 + 4*t^4.437 + 6*t^4.577 + 5*t^4.716 + 6*t^4.856 + 2*t^4.995 + t^5.135 + t^5.442 + t^5.581 + t^5.721 + t^5.86 - t^6. + t^6.027 + t^6.167 + t^6.279 + 3*t^6.307 + t^6.419 + 5*t^6.446 + 8*t^6.586 + 10*t^6.725 + 15*t^6.865 + 12*t^7.005 + 11*t^7.144 + 8*t^7.284 + 2*t^7.423 + t^7.451 + t^7.59 + t^7.703 + 2*t^7.73 + 2*t^7.87 + t^8.036 - 3*t^8.149 + t^8.176 - 4*t^8.288 + 3*t^8.316 - 7*t^8.428 + 5*t^8.455 - 5*t^8.568 + 9*t^8.595 + 12*t^8.734 + 20*t^8.874 + t^8.986 - t^4.144/y - t^6.153/y - t^6.293/y - (2*t^6.432)/y - (2*t^6.572)/y + t^7.158/y + (2*t^7.297)/y + (4*t^7.437)/y + (4*t^7.577)/y + (7*t^7.716)/y + (5*t^7.856)/y + (3*t^7.995)/y + t^8.135/y - t^8.162/y - t^8.302/y - (2*t^8.442)/y - (3*t^8.581)/y - (3*t^8.721)/y - t^8.86/y - t^4.144*y - t^6.153*y - t^6.293*y - 2*t^6.432*y - 2*t^6.572*y + t^7.158*y + 2*t^7.297*y + 4*t^7.437*y + 4*t^7.577*y + 7*t^7.716*y + 5*t^7.856*y + 3*t^7.995*y + t^8.135*y - t^8.162*y - t^8.302*y - 2*t^8.442*y - 3*t^8.581*y - 3*t^8.721*y - t^8.86*y | t^2.009/g1^28 + t^2.149/g1^18 + (2*t^2.288)/g1^8 + 2*g1^2*t^2.428 + g1^12*t^2.568 + t^3.432/g1^12 + g1^18*t^3.851 + t^4.018/g1^56 + t^4.158/g1^46 + (3*t^4.297)/g1^36 + (4*t^4.437)/g1^26 + (6*t^4.577)/g1^16 + (5*t^4.716)/g1^6 + 6*g1^4*t^4.856 + 2*g1^14*t^4.995 + g1^24*t^5.135 + t^5.442/g1^40 + t^5.581/g1^30 + t^5.721/g1^20 + t^5.86/g1^10 - t^6. + t^6.027/g1^84 + t^6.167/g1^74 + g1^20*t^6.279 + (3*t^6.307)/g1^64 + g1^30*t^6.419 + (5*t^6.446)/g1^54 + (8*t^6.586)/g1^44 + (10*t^6.725)/g1^34 + (15*t^6.865)/g1^24 + (12*t^7.005)/g1^14 + (11*t^7.144)/g1^4 + 8*g1^6*t^7.284 + 2*g1^16*t^7.423 + t^7.451/g1^68 + t^7.59/g1^58 + g1^36*t^7.703 + (2*t^7.73)/g1^48 + (2*t^7.87)/g1^38 + t^8.036/g1^112 - (3*t^8.149)/g1^18 + t^8.176/g1^102 - (4*t^8.288)/g1^8 + (3*t^8.316)/g1^92 - 7*g1^2*t^8.428 + (5*t^8.455)/g1^82 - 5*g1^12*t^8.568 + (9*t^8.595)/g1^72 + (12*t^8.734)/g1^62 + (20*t^8.874)/g1^52 + g1^42*t^8.986 - t^4.144/(g1^4*y) - t^6.153/(g1^32*y) - t^6.293/(g1^22*y) - (2*t^6.432)/(g1^12*y) - (2*t^6.572)/(g1^2*y) + t^7.158/(g1^46*y) + (2*t^7.297)/(g1^36*y) + (4*t^7.437)/(g1^26*y) + (4*t^7.577)/(g1^16*y) + (7*t^7.716)/(g1^6*y) + (5*g1^4*t^7.856)/y + (3*g1^14*t^7.995)/y + (g1^24*t^8.135)/y - t^8.162/(g1^60*y) - t^8.302/(g1^50*y) - (2*t^8.442)/(g1^40*y) - (3*t^8.581)/(g1^30*y) - (3*t^8.721)/(g1^20*y) - t^8.86/(g1^10*y) - (t^4.144*y)/g1^4 - (t^6.153*y)/g1^32 - (t^6.293*y)/g1^22 - (2*t^6.432*y)/g1^12 - (2*t^6.572*y)/g1^2 + (t^7.158*y)/g1^46 + (2*t^7.297*y)/g1^36 + (4*t^7.437*y)/g1^26 + (4*t^7.577*y)/g1^16 + (7*t^7.716*y)/g1^6 + 5*g1^4*t^7.856*y + 3*g1^14*t^7.995*y + g1^24*t^8.135*y - (t^8.162*y)/g1^60 - (t^8.302*y)/g1^50 - (2*t^8.442*y)/g1^40 - (3*t^8.581*y)/g1^30 - (3*t^8.721*y)/g1^20 - (t^8.86*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3182 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6731 | 0.854 | 0.7881 | [X:[1.6173], M:[0.7221, 0.8087, 0.3827, 1.1481, 0.8519, 0.6789, 0.8087], q:[0.8736, 0.4043], qb:[0.7438, 0.4476], phi:[0.3827]] | t^2.037 + t^2.166 + t^2.296 + 2*t^2.426 + t^2.556 + t^3.444 + t^3.704 + t^3.834 + t^4.073 + t^4.203 + 2*t^4.333 + 3*t^4.463 + 4*t^4.592 + 3*t^4.722 + 5*t^4.852 + 2*t^4.982 + t^5.112 + t^5.481 + t^5.611 + t^5.74 + 2*t^5.87 - t^4.148/y - t^4.148*y | detail |