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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4457 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6723 | 0.9193 | 0.7314 | [M:[0.918, 1.246, 0.918, 0.754, 0.705, 0.705, 0.754, 0.754], q:[0.7295, 0.3525], qb:[0.3525, 0.4015], phi:[0.541]] | [M:[[4], [-12], [4], [12], [-10], [-10], [12], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{8}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$ | ${}M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | -1 | 3*t^2.115 + 4*t^2.262 + 2*t^2.754 + t^3.246 + t^3.393 + t^3.738 + t^4.032 + 6*t^4.23 + 12*t^4.377 + 10*t^4.524 + 6*t^4.869 + 8*t^5.016 + 3*t^5.361 + 9*t^5.508 + 4*t^5.655 + t^5.853 - t^6. + 2*t^6.147 + 4*t^6.294 + 10*t^6.345 + 22*t^6.492 + 28*t^6.639 + 22*t^6.786 + 10*t^6.984 + 19*t^7.131 + 19*t^7.278 + t^7.425 + 4*t^7.476 + 16*t^7.623 + 25*t^7.77 + 10*t^7.917 + t^8.064 - 11*t^8.115 - 5*t^8.262 + 8*t^8.409 + 15*t^8.46 + 10*t^8.556 + 30*t^8.607 + 36*t^8.754 + 55*t^8.901 - t^4.623/y - (2*t^6.738)/y - (2*t^6.885)/y + (3*t^7.23)/y + (11*t^7.377)/y + (6*t^7.524)/y + (7*t^7.869)/y + (8*t^8.016)/y + (5*t^8.361)/y + (10*t^8.508)/y + (4*t^8.655)/y - t^4.623*y - 2*t^6.738*y - 2*t^6.885*y + 3*t^7.23*y + 11*t^7.377*y + 6*t^7.524*y + 7*t^7.869*y + 8*t^8.016*y + 5*t^8.361*y + 10*t^8.508*y + 4*t^8.655*y | (3*t^2.115)/g1^10 + 4*g1^12*t^2.262 + 2*g1^4*t^2.754 + t^3.246/g1^4 + g1^18*t^3.393 + t^3.738/g1^12 + g1^32*t^4.032 + (6*t^4.23)/g1^20 + 12*g1^2*t^4.377 + 10*g1^24*t^4.524 + (6*t^4.869)/g1^6 + 8*g1^16*t^5.016 + (3*t^5.361)/g1^14 + 9*g1^8*t^5.508 + 4*g1^30*t^5.655 + t^5.853/g1^22 - t^6. + 2*g1^22*t^6.147 + 4*g1^44*t^6.294 + (10*t^6.345)/g1^30 + (22*t^6.492)/g1^8 + 28*g1^14*t^6.639 + 22*g1^36*t^6.786 + (10*t^6.984)/g1^16 + 19*g1^6*t^7.131 + 19*g1^28*t^7.278 + g1^50*t^7.425 + (4*t^7.476)/g1^24 + (16*t^7.623)/g1^2 + 25*g1^20*t^7.77 + 10*g1^42*t^7.917 + g1^64*t^8.064 - (11*t^8.115)/g1^10 - 5*g1^12*t^8.262 + 8*g1^34*t^8.409 + (15*t^8.46)/g1^40 + 10*g1^56*t^8.556 + (30*t^8.607)/g1^18 + 36*g1^4*t^8.754 + 55*g1^26*t^8.901 - t^4.623/(g1^2*y) - (2*t^6.738)/(g1^12*y) - (2*g1^10*t^6.885)/y + (3*t^7.23)/(g1^20*y) + (11*g1^2*t^7.377)/y + (6*g1^24*t^7.524)/y + (7*t^7.869)/(g1^6*y) + (8*g1^16*t^8.016)/y + (5*t^8.361)/(g1^14*y) + (10*g1^8*t^8.508)/y + (4*g1^30*t^8.655)/y - (t^4.623*y)/g1^2 - (2*t^6.738*y)/g1^12 - 2*g1^10*t^6.885*y + (3*t^7.23*y)/g1^20 + 11*g1^2*t^7.377*y + 6*g1^24*t^7.524*y + (7*t^7.869*y)/g1^6 + 8*g1^16*t^8.016*y + (5*t^8.361*y)/g1^14 + 10*g1^8*t^8.508*y + 4*g1^30*t^8.655*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2413 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6536 | 0.8848 | 0.7387 | [M:[0.9204, 1.2389, 0.9204, 0.7611, 0.6991, 0.6991, 0.7611], q:[0.7301, 0.3495], qb:[0.3495, 0.4116], phi:[0.5398]] | 3*t^2.097 + 3*t^2.283 + 2*t^2.761 + t^3.239 + t^3.425 + 2*t^3.717 + t^4.089 + 6*t^4.195 + 9*t^4.381 + 6*t^4.567 + 6*t^4.858 + 6*t^5.044 + 3*t^5.336 + 8*t^5.522 + 3*t^5.708 + 4*t^5.814 + t^6. - t^4.619/y - t^4.619*y | detail |