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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55576 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6593 | 0.8299 | 0.7944 | [M:[1.135, 0.7026, 0.865, 0.8108, 0.7026, 1.1892, 0.7567], q:[0.4054, 0.4595], qb:[0.892, 0.7296], phi:[0.3783]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-11, -13], [6, 8], [-2, -2]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.108 + 2*t^2.27 + t^2.595 + t^3.405 + 2*t^3.568 + t^4.055 + 3*t^4.215 + 4*t^4.378 + 3*t^4.54 + 2*t^4.703 + 3*t^4.865 + t^5.19 + 2*t^5.513 + 5*t^5.675 + 2*t^5.838 - 2*t^6. + 2*t^6.162 + 4*t^6.323 + t^6.325 + 6*t^6.486 + 6*t^6.648 + t^6.65 + 7*t^6.81 + 6*t^6.973 + 5*t^7.135 - 2*t^7.297 + 3*t^7.621 + 8*t^7.783 + 5*t^7.945 - 2*t^8.108 + t^8.109 - t^8.27 + 5*t^8.431 + 8*t^8.593 - 3*t^8.595 + 9*t^8.756 + 12*t^8.918 + t^8.92 - t^4.135/y - (2*t^6.243)/y - (2*t^6.405)/y + t^7.215/y + (4*t^7.378)/y + t^7.54/y + (2*t^7.703)/y + (4*t^7.865)/y + (2*t^8.027)/y - (3*t^8.35)/y - (2*t^8.513)/y + (3*t^8.675)/y + (4*t^8.838)/y - t^4.135*y - 2*t^6.243*y - 2*t^6.405*y + t^7.215*y + 4*t^7.378*y + t^7.54*y + 2*t^7.703*y + 4*t^7.865*y + 2*t^8.027*y - 3*t^8.35*y - 2*t^8.513*y + 3*t^8.675*y + 4*t^8.838*y | t^2.108/(g1^11*g2^13) + g1^2*g2^4*t^2.108 + (2*t^2.27)/(g1^2*g2^2) + g1^3*g2^3*t^2.595 + t^3.405/(g1^3*g2^3) + t^3.568/(g1^7*g2^9) + g1^6*g2^8*t^3.568 + g1^7*g2^7*t^4.055 + t^4.215/(g1^22*g2^26) + t^4.215/(g1^9*g2^9) + g1^4*g2^8*t^4.215 + (2*t^4.378)/(g1^13*g2^15) + 2*g2^2*t^4.378 + (3*t^4.54)/(g1^4*g2^4) + t^4.703/(g1^8*g2^10) + g1^5*g2^7*t^4.703 + 3*g1*g2*t^4.865 + g1^6*g2^6*t^5.19 + t^5.513/(g1^14*g2^16) + (g2*t^5.513)/g1 + t^5.675/(g1^18*g2^22) + (3*t^5.675)/(g1^5*g2^5) + g1^8*g2^12*t^5.675 + t^5.838/(g1^9*g2^11) + g1^4*g2^6*t^5.838 - 2*t^6. + t^6.162/(g1^4*g2^6) + g1^9*g2^11*t^6.162 + t^6.323/(g1^33*g2^39) + t^6.323/(g1^20*g2^22) + t^6.323/(g1^7*g2^5) + g1^6*g2^12*t^6.323 + g1^5*g2^5*t^6.325 + (2*t^6.486)/(g1^24*g2^28) + (2*t^6.486)/(g1^11*g2^11) + 2*g1^2*g2^6*t^6.486 + (3*t^6.648)/g1^2 + (3*t^6.648)/(g1^15*g2^17) + g1^10*g2^10*t^6.65 + t^6.81/(g1^19*g2^23) + (5*t^6.81)/(g1^6*g2^6) + g1^7*g2^11*t^6.81 + (3*t^6.973)/(g1^10*g2^12) + 3*g1^3*g2^5*t^6.973 + t^7.135/(g1^14*g2^18) + (3*t^7.135)/(g1*g2) + g1^12*g2^16*t^7.135 - t^7.297/(g1^5*g2^7) - g1^8*g2^10*t^7.297 + t^7.621/(g1^25*g2^29) + t^7.621/(g1^12*g2^12) + g1*g2^5*t^7.621 + t^7.783/(g1^29*g2^35) + (3*t^7.783)/(g1^16*g2^18) + (3*t^7.783)/(g1^3*g2) + g1^10*g2^16*t^7.783 + t^7.945/(g1^20*g2^24) + (3*t^7.945)/(g1^7*g2^7) + g1^6*g2^10*t^7.945 - t^8.108/(g1^11*g2^13) - g1^2*g2^4*t^8.108 + g1^14*g2^14*t^8.109 + t^8.27/(g1^15*g2^19) - (3*t^8.27)/(g1^2*g2^2) + g1^11*g2^15*t^8.27 + t^8.431/(g1^44*g2^52) + t^8.431/(g1^31*g2^35) + t^8.431/(g1^18*g2^18) + t^8.431/(g1^5*g2) + g1^8*g2^16*t^8.431 + (2*t^8.593)/(g1^35*g2^41) + (2*t^8.593)/(g1^22*g2^24) + (2*t^8.593)/(g1^9*g2^7) + 2*g1^4*g2^10*t^8.593 - 3*g1^3*g2^3*t^8.595 + (3*t^8.756)/(g1^26*g2^30) + (3*t^8.756)/(g1^13*g2^13) + 3*g2^4*t^8.756 + t^8.918/(g1^30*g2^36) + (5*t^8.918)/(g1^17*g2^19) + (5*t^8.918)/(g1^4*g2^2) + g1^9*g2^15*t^8.918 + g1^8*g2^8*t^8.92 - t^4.135/(g1*g2*y) - t^6.243/(g1^12*g2^14*y) - (g1*g2^3*t^6.243)/y - (2*t^6.405)/(g1^3*g2^3*y) + t^7.215/(g1^9*g2^9*y) + (2*t^7.378)/(g1^13*g2^15*y) + (2*g2^2*t^7.378)/y + t^7.54/(g1^4*g2^4*y) + t^7.703/(g1^8*g2^10*y) + (g1^5*g2^7*t^7.703)/y + (4*g1*g2*t^7.865)/y + t^8.027/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.027)/y - t^8.35/(g1^23*g2^27*y) - t^8.35/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.35)/y - t^8.513/(g1^14*g2^16*y) - (g2*t^8.513)/(g1*y) + t^8.675/(g1^18*g2^22*y) + t^8.675/(g1^5*g2^5*y) + (g1^8*g2^12*t^8.675)/y + (2*t^8.838)/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.838)/y - (t^4.135*y)/(g1*g2) - (t^6.243*y)/(g1^12*g2^14) - g1*g2^3*t^6.243*y - (2*t^6.405*y)/(g1^3*g2^3) + (t^7.215*y)/(g1^9*g2^9) + (2*t^7.378*y)/(g1^13*g2^15) + 2*g2^2*t^7.378*y + (t^7.54*y)/(g1^4*g2^4) + (t^7.703*y)/(g1^8*g2^10) + g1^5*g2^7*t^7.703*y + 4*g1*g2*t^7.865*y + (t^8.027*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.027*y - (t^8.35*y)/(g1^23*g2^27) - (t^8.35*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.35*y - (t^8.513*y)/(g1^14*g2^16) - (g2*t^8.513*y)/g1 + (t^8.675*y)/(g1^18*g2^22) + (t^8.675*y)/(g1^5*g2^5) + g1^8*g2^12*t^8.675*y + (2*t^8.838*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.838*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 |
---|---|---|---|---|---|---|---|---|---|
47249 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.6406 | 0.7956 | 0.8052 | [M:[1.14, 0.7099, 0.86, 0.81, 0.7099, 1.19], q:[0.405, 0.455], qb:[0.8851, 0.735], phi:[0.38]] | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail |