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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1986 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6317 | 0.7814 | 0.8084 | [M:[0.8136, 0.7684, 1.1864, 0.8362, 1.209, 0.7684], q:[0.8023, 0.8023], qb:[0.3842, 0.4294], phi:[0.3955]] | [M:[[6], [-14], [-6], [16], [4], [-14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 | {a: 26387/41772, c: 32641/41772, M1: 48/59, M2: 136/177, M3: 70/59, M4: 148/177, M5: 214/177, M6: 136/177, q1: 142/177, q2: 142/177, qb1: 68/177, qb2: 76/177, phi1: 70/177} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | 2*t^2.305 + t^2.441 + t^2.508 + 2*t^3.559 + 2*t^3.627 + t^3.763 + 3*t^4.61 + 2*t^4.746 + 3*t^4.814 + t^4.881 + t^4.949 + t^5.017 + 3*t^5.864 + 2*t^5.932 - t^6. + 4*t^6.068 + t^6.136 + t^6.203 + t^6.271 + 4*t^6.915 + 2*t^7.051 + 5*t^7.119 + 2*t^7.186 + t^7.254 + 3*t^7.322 + 2*t^7.39 + t^7.458 + 2*t^7.525 + 4*t^8.169 + 2*t^8.237 - 4*t^8.305 + 5*t^8.373 - t^8.441 - t^8.508 + 3*t^8.576 + 2*t^8.644 + t^8.712 + t^8.78 - t^4.186/y - (2*t^6.492)/y - t^6.695/y + t^7.61/y + t^7.678/y + (2*t^7.746)/y + (2*t^7.814)/y + (2*t^7.881)/y + t^7.949/y - (3*t^8.797)/y + (4*t^8.864)/y + (4*t^8.932)/y - t^4.186*y - 2*t^6.492*y - t^6.695*y + t^7.61*y + t^7.678*y + 2*t^7.746*y + 2*t^7.814*y + 2*t^7.881*y + t^7.949*y - 3*t^8.797*y + 4*t^8.864*y + 4*t^8.932*y | (2*t^2.305)/g1^14 + g1^6*t^2.441 + g1^16*t^2.508 + (2*t^3.559)/g1^6 + 2*g1^4*t^3.627 + g1^24*t^3.763 + (3*t^4.61)/g1^28 + (2*t^4.746)/g1^8 + 3*g1^2*t^4.814 + g1^12*t^4.881 + g1^22*t^4.949 + g1^32*t^5.017 + (3*t^5.864)/g1^20 + (2*t^5.932)/g1^10 - t^6. + 4*g1^10*t^6.068 + g1^20*t^6.136 + g1^30*t^6.203 + g1^40*t^6.271 + (4*t^6.915)/g1^42 + (2*t^7.051)/g1^22 + (5*t^7.119)/g1^12 + (2*t^7.186)/g1^2 + g1^8*t^7.254 + 3*g1^18*t^7.322 + 2*g1^28*t^7.39 + g1^38*t^7.458 + 2*g1^48*t^7.525 + (4*t^8.169)/g1^34 + (2*t^8.237)/g1^24 - (4*t^8.305)/g1^14 + (5*t^8.373)/g1^4 - g1^6*t^8.441 - g1^16*t^8.508 + 3*g1^26*t^8.576 + 2*g1^36*t^8.644 + g1^46*t^8.712 + g1^56*t^8.78 - t^4.186/(g1^2*y) - (2*t^6.492)/(g1^16*y) - (g1^14*t^6.695)/y + t^7.61/(g1^28*y) + t^7.678/(g1^18*y) + (2*t^7.746)/(g1^8*y) + (2*g1^2*t^7.814)/y + (2*g1^12*t^7.881)/y + (g1^22*t^7.949)/y - (3*t^8.797)/(g1^30*y) + (4*t^8.864)/(g1^20*y) + (4*t^8.932)/(g1^10*y) - (t^4.186*y)/g1^2 - (2*t^6.492*y)/g1^16 - g1^14*t^6.695*y + (t^7.61*y)/g1^28 + (t^7.678*y)/g1^18 + (2*t^7.746*y)/g1^8 + 2*g1^2*t^7.814*y + 2*g1^12*t^7.881*y + g1^22*t^7.949*y - (3*t^8.797*y)/g1^30 + (4*t^8.864*y)/g1^20 + (4*t^8.932*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 |
---|---|---|---|---|---|---|---|---|---|
741 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6139 | 0.7503 | 0.8182 | [M:[0.8066, 0.7845, 1.1934, 0.8177, 1.2044], q:[0.8011, 0.8011], qb:[0.3923, 0.4144], phi:[0.3978]] | t^2.354 + t^2.42 + t^2.453 + 2*t^3.58 + 2*t^3.613 + t^3.646 + t^3.68 + t^4.707 + t^4.773 + 2*t^4.807 + t^4.84 + t^4.873 + t^4.906 + t^5.934 - t^4.193/y - t^4.193*y | detail |