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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55589 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7018 | 0.8592 | 0.8168 | [M:[1.0361, 0.8916, 0.9639, 1.0361, 1.0361, 0.9639, 0.9639], q:[0.5181, 0.4458], qb:[0.5903, 0.5181], phi:[0.4819]] | [M:[[4, 12], [-20, 4], [-4, -12], [6, 2], [8, -8], [-8, 8], [-4, -12]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$ | ${}M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.675 + 3*t^2.892 + 2*t^3.108 + t^3.325 + t^4.121 + 2*t^4.337 + 4*t^4.554 + 2*t^4.771 + t^4.988 + t^5.35 + 2*t^5.566 + 4*t^5.783 + t^6. + t^6.217 + t^6.434 + t^6.65 + t^6.795 + 4*t^7.012 + 6*t^7.229 + 8*t^7.446 + 4*t^7.663 + 4*t^7.879 + t^8.024 + 2*t^8.096 + 3*t^8.241 + t^8.313 + 4*t^8.458 + 4*t^8.675 - 2*t^8.892 - t^4.446/y - t^7.121/y - t^7.337/y + t^7.554/y + t^7.771/y + (3*t^8.566)/y + (5*t^8.783)/y - t^4.446*y - t^7.121*y - t^7.337*y + t^7.554*y + t^7.771*y + 3*t^8.566*y + 5*t^8.783*y | (g2^4*t^2.675)/g1^20 + (2*t^2.892)/(g1^4*g2^12) + (g2^8*t^2.892)/g1^8 + (g1^8*t^3.108)/g2^8 + g1^6*g2^2*t^3.108 + g1^16*g2^16*t^3.325 + t^4.121/(g1^19*g2^17) + t^4.337/(g1^7*g2^13) + (g2^7*t^4.337)/g1^11 + (2*g1^5*t^4.554)/g2^9 + g1*g2^11*t^4.554 + (g2^31*t^4.554)/g1^3 + (g1^17*t^4.771)/g2^5 + g1^13*g2^15*t^4.771 + (g1^29*t^4.988)/g2 + (g2^8*t^5.35)/g1^40 + t^5.566/(g1^24*g2^8) + (g2^12*t^5.566)/g1^28 + (2*t^5.783)/(g1^8*g2^24) + t^5.783/(g1^12*g2^4) + (g2^6*t^5.783)/g1^14 - 3*t^6. + (g1^4*t^6.)/g2^20 + (2*g1^2*t^6.)/g2^10 + (g2^10*t^6.)/g1^2 + (g1^14*t^6.217)/g2^6 + g1^22*g2^18*t^6.434 + g1^32*g2^32*t^6.65 + t^6.795/(g1^39*g2^13) + (2*t^7.012)/(g1^23*g2^29) + t^7.012/(g1^27*g2^9) + (g2^11*t^7.012)/g1^31 + (2*t^7.229)/(g1^11*g2^25) + (2*t^7.229)/(g1^15*g2^5) + (g2^15*t^7.229)/g1^19 + (g2^35*t^7.229)/g1^23 + (3*g1*t^7.446)/g2^21 + (2*t^7.446)/(g1^3*g2) + (2*g2^19*t^7.446)/g1^7 + (g2^39*t^7.446)/g1^11 + (2*g1^13*t^7.663)/g2^17 + g1^9*g2^3*t^7.663 + g1^5*g2^23*t^7.663 + (2*g1^25*t^7.879)/g2^13 + g1^21*g2^7*t^7.879 + g1^13*g2^47*t^7.879 + (g2^12*t^8.024)/g1^60 + (g1^37*t^8.096)/g2^9 + g1^29*g2^31*t^8.096 + t^8.241/(g1^38*g2^34) + t^8.241/(g1^44*g2^4) + (g2^16*t^8.241)/g1^48 + g1^45*g2^15*t^8.313 + t^8.458/g1^32 + t^8.458/(g1^26*g2^30) + t^8.458/(g1^30*g2^10) + (g2^10*t^8.458)/g1^34 + (2*t^8.675)/(g1^12*g2^36) + (2*t^8.675)/(g1^14*g2^26) - t^8.675/(g1^16*g2^16) + (2*t^8.675)/(g1^18*g2^6) - (3*g2^4*t^8.675)/g1^20 + (2*g2^14*t^8.675)/g1^22 + t^8.892/g2^32 + (4*t^8.892)/(g1^2*g2^22) - (7*t^8.892)/(g1^4*g2^12) + (3*t^8.892)/(g1^6*g2^2) - (4*g2^8*t^8.892)/g1^8 + (g2^18*t^8.892)/g1^10 - (g2^28*t^8.892)/g1^12 + (g2^38*t^8.892)/g1^14 - t^4.446/(g1^3*g2*y) - (g2^3*t^7.121)/(g1^23*y) - t^7.337/(g1^7*g2^13*y) + (g1*g2^11*t^7.554)/y + (g1^17*t^7.771)/(g2^5*y) + (2*t^8.566)/(g1^24*g2^8*y) + (g2^12*t^8.566)/(g1^28*y) + t^8.783/(g1^8*g2^24*y) + (3*t^8.783)/(g1^12*g2^4*y) + (g2^6*t^8.783)/(g1^14*y) - (t^4.446*y)/(g1^3*g2) - (g2^3*t^7.121*y)/g1^23 - (t^7.337*y)/(g1^7*g2^13) + g1*g2^11*t^7.554*y + (g1^17*t^7.771*y)/g2^5 + (2*t^8.566*y)/(g1^24*g2^8) + (g2^12*t^8.566*y)/g1^28 + (t^8.783*y)/(g1^8*g2^24) + (3*t^8.783*y)/(g1^12*g2^4) + (g2^6*t^8.783*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|---|
47286 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ | 0.6995 | 0.856 | 0.8172 | [M:[1.0123, 0.8913, 0.9877, 1.0302, 1.0482, 0.9518], q:[0.5241, 0.4636], qb:[0.5846, 0.4881], phi:[0.4849]] | t^2.674 + t^2.855 + t^2.963 + t^3.037 + t^3.091 + t^3.145 + t^3.218 + t^4.236 + t^4.31 + t^4.383 + t^4.418 + t^4.491 + 2*t^4.599 + t^4.673 + t^4.781 + t^4.962 + t^5.348 + t^5.529 + t^5.711 + t^5.765 + t^5.892 + t^5.946 - 2*t^6. - t^4.455/y - t^4.455*y | detail |