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 |
---|---|---|---|---|---|---|---|---|---|
740 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6493 | 0.8122 | 0.7994 | [M:[1.1805, 0.7545, 0.8195, 0.8195, 0.787], q:[0.8032, 0.4422], qb:[0.3773, 0.8032], phi:[0.3935]] | [M:[[-6], [-14], [6], [6], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.264 + 2*t^2.361 + 2*t^2.458 + t^3.444 + t^3.542 + t^3.736 + t^3.834 + t^4.527 + 2*t^4.625 + 5*t^4.722 + 5*t^4.819 + 3*t^4.917 + t^5.708 + 2*t^5.805 + 2*t^5.903 + t^6.097 + 3*t^6.195 + 2*t^6.292 + t^6.791 + 3*t^6.888 + 5*t^6.986 + 7*t^7.083 + 8*t^7.181 + 5*t^7.278 + 2*t^7.375 + t^7.57 + t^7.668 + t^7.971 + 2*t^8.069 + 3*t^8.166 + t^8.264 - 2*t^8.361 - 3*t^8.458 + 2*t^8.556 + 5*t^8.653 + 3*t^8.751 - t^4.181/y - t^6.444/y - (2*t^6.542)/y - t^6.639/y + (2*t^7.625)/y + (4*t^7.722)/y + (6*t^7.819)/y + (2*t^7.917)/y + t^8.805/y - t^4.181*y - t^6.444*y - 2*t^6.542*y - t^6.639*y + 2*t^7.625*y + 4*t^7.722*y + 6*t^7.819*y + 2*t^7.917*y + t^8.805*y | t^2.264/g1^14 + (2*t^2.361)/g1^4 + 2*g1^6*t^2.458 + t^3.444/g1^16 + t^3.542/g1^6 + g1^14*t^3.736 + g1^24*t^3.834 + t^4.527/g1^28 + (2*t^4.625)/g1^18 + (5*t^4.722)/g1^8 + 5*g1^2*t^4.819 + 3*g1^12*t^4.917 + t^5.708/g1^30 + (2*t^5.805)/g1^20 + (2*t^5.903)/g1^10 + g1^10*t^6.097 + 3*g1^20*t^6.195 + 2*g1^30*t^6.292 + t^6.791/g1^42 + (3*t^6.888)/g1^32 + (5*t^6.986)/g1^22 + (7*t^7.083)/g1^12 + (8*t^7.181)/g1^2 + 5*g1^8*t^7.278 + 2*g1^18*t^7.375 + g1^38*t^7.57 + g1^48*t^7.668 + t^7.971/g1^44 + (2*t^8.069)/g1^34 + (3*t^8.166)/g1^24 + t^8.264/g1^14 - (2*t^8.361)/g1^4 - 3*g1^6*t^8.458 + 2*g1^16*t^8.556 + 5*g1^26*t^8.653 + 3*g1^36*t^8.751 - t^4.181/(g1^2*y) - t^6.444/(g1^16*y) - (2*t^6.542)/(g1^6*y) - (g1^4*t^6.639)/y + (2*t^7.625)/(g1^18*y) + (4*t^7.722)/(g1^8*y) + (6*g1^2*t^7.819)/y + (2*g1^12*t^7.917)/y + t^8.805/(g1^20*y) - (t^4.181*y)/g1^2 - (t^6.444*y)/g1^16 - (2*t^6.542*y)/g1^6 - g1^4*t^6.639*y + (2*t^7.625*y)/g1^18 + (4*t^7.722*y)/g1^8 + 6*g1^2*t^7.819*y + 2*g1^12*t^7.917*y + (t^8.805*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
1985 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6696 | 0.8513 | 0.7866 | [M:[1.1754, 0.7427, 0.8246, 0.8246, 0.7836, 0.7018], q:[0.8041, 0.4532], qb:[0.3714, 0.8041], phi:[0.3918]] | t^2.105 + t^2.228 + 2*t^2.351 + 2*t^2.474 + t^3.404 + t^3.526 + t^3.772 + t^4.211 + t^4.333 + 3*t^4.456 + 4*t^4.579 + 5*t^4.702 + 5*t^4.825 + 3*t^4.947 + t^5.509 + 2*t^5.632 + 2*t^5.754 + 3*t^5.877 - t^4.175/y - t^4.175*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 |
---|---|---|---|---|---|---|---|---|---|
441 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ | 0.6321 | 0.7818 | 0.8086 | [M:[1.183, 0.7604, 0.817, 0.817], q:[0.8028, 0.4368], qb:[0.3802, 0.8028], phi:[0.3943]] | t^2.281 + t^2.366 + 2*t^2.451 + t^3.464 + t^3.549 + t^3.634 + t^3.719 + t^3.804 + t^4.562 + t^4.647 + 3*t^4.732 + 3*t^4.817 + 3*t^4.902 + t^5.746 + t^5.83 + 2*t^5.915 + t^6. - t^4.183/y - t^4.183*y | detail |