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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475 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5861 | 0.7654 | 0.7658 | [M:[1.1472, 0.7055, 0.7055, 0.8528, 0.8528], q:[0.566, 1.0077], qb:[0.2868, 0.434], phi:[0.4264]] | [M:[[2, 2], [1, -5], [-9, -3], [-2, -2], [-2, -2]], q:[[-5, -2], [6, 3]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.117 + t^2.163 + 3*t^2.558 + 2*t^3. + 3*t^4.233 + 2*t^4.279 + 2*t^4.325 + 6*t^4.675 + 4*t^4.721 + 9*t^5.117 + 2*t^5.163 + 4*t^5.558 - t^6. + 4*t^6.35 + 2*t^6.396 + 2*t^6.488 + 9*t^6.791 + 6*t^6.837 + 3*t^6.883 + 16*t^7.233 + 9*t^7.279 + 2*t^7.325 + 15*t^7.675 + 2*t^7.721 - t^7.767 + 2*t^8.117 - 4*t^8.163 + 5*t^8.466 + 2*t^8.512 - 7*t^8.558 - 2*t^8.604 + 3*t^8.65 + 12*t^8.908 + 6*t^8.954 - t^4.279/y - (2*t^6.396)/y - (2*t^6.837)/y + t^7.233/y + (2*t^7.279)/y + (6*t^7.675)/y + (5*t^7.721)/y + (7*t^8.117)/y + (4*t^8.163)/y - (3*t^8.512)/y + (6*t^8.558)/y - (4*t^8.954)/y - t^4.279*y - 2*t^6.396*y - 2*t^6.837*y + t^7.233*y + 2*t^7.279*y + 6*t^7.675*y + 5*t^7.721*y + 7*t^8.117*y + 4*t^8.163*y - 3*t^8.512*y + 6*t^8.558*y - 4*t^8.954*y | (g1*t^2.117)/g2^5 + t^2.117/(g1^9*g2^3) + g1^3*g2^3*t^2.163 + (3*t^2.558)/(g1^2*g2^2) + (g1^5*t^3.)/g2 + (g2*t^3.)/g1^5 + (g1^2*t^4.233)/g2^10 + t^4.233/(g1^8*g2^8) + t^4.233/(g1^18*g2^6) + t^4.279/g1^6 + (g1^4*t^4.279)/g2^2 + 2*g1^6*g2^6*t^4.325 + (3*t^4.675)/(g1*g2^7) + (3*t^4.675)/(g1^11*g2^5) + 4*g1*g2*t^4.721 + (g1^6*t^5.117)/g2^6 + (7*t^5.117)/(g1^4*g2^4) + t^5.117/(g1^14*g2^2) + g1^8*g2^2*t^5.163 + (g2^4*t^5.163)/g1^2 + (2*g1^3*t^5.558)/g2^3 + (2*t^5.558)/(g1^7*g2) - 3*t^6. + (g1^10*t^6.)/g2^2 + (g2^2*t^6.)/g1^10 + (g1^3*t^6.35)/g2^15 + t^6.35/(g1^7*g2^13) + t^6.35/(g1^17*g2^11) + t^6.35/(g1^27*g2^9) + (g1^5*t^6.396)/g2^7 + t^6.396/(g1^15*g2^3) + 2*g1^9*g2^9*t^6.488 + (3*t^6.791)/g2^12 + (3*t^6.791)/(g1^10*g2^10) + (3*t^6.791)/(g1^20*g2^8) + (3*g1^2*t^6.837)/g2^4 + (3*t^6.837)/(g1^8*g2^2) + 3*g1^4*g2^4*t^6.883 + (g1^7*t^7.233)/g2^11 + (7*t^7.233)/(g1^3*g2^9) + (7*t^7.233)/(g1^13*g2^7) + t^7.233/(g1^23*g2^5) + (g1^9*t^7.279)/g2^3 + (7*t^7.279)/(g1*g2) + (g2*t^7.279)/g1^11 + g1^11*g2^5*t^7.325 + g1*g2^7*t^7.325 + (2*g1^4*t^7.675)/g2^8 + (11*t^7.675)/(g1^6*g2^6) + (2*t^7.675)/(g1^16*g2^4) + g1^6*t^7.721 + (g2^2*t^7.721)/g1^4 - g1^8*g2^8*t^7.767 + (g1^11*t^8.117)/g2^7 + t^8.117/(g1^19*g2) + g1^13*g2*t^8.163 - 6*g1^3*g2^3*t^8.163 + (g2^5*t^8.163)/g1^7 + (g1^4*t^8.466)/g2^20 + t^8.466/(g1^6*g2^18) + t^8.466/(g1^16*g2^16) + t^8.466/(g1^26*g2^14) + t^8.466/(g1^36*g2^12) + (g1^6*t^8.512)/g2^12 + t^8.512/(g1^24*g2^6) + (2*t^8.558)/g1^12 + (2*g1^8*t^8.558)/g2^4 - (11*t^8.558)/(g1^2*g2^2) - g1^10*g2^4*t^8.604 - g2^6*t^8.604 + 3*g1^12*g2^12*t^8.65 + (3*g1*t^8.908)/g2^17 + (3*t^8.908)/(g1^9*g2^15) + (3*t^8.908)/(g1^19*g2^13) + (3*t^8.908)/(g1^29*g2^11) + (3*g1^3*t^8.954)/g2^9 + (3*t^8.954)/(g1^17*g2^5) - t^4.279/(g1*g2*y) - t^6.396/(g2^6*y) - t^6.396/(g1^10*g2^4*y) - (2*t^6.837)/(g1^3*g2^3*y) + t^7.233/(g1^8*g2^8*y) + t^7.279/(g1^6*y) + (g1^4*t^7.279)/(g2^2*y) + (3*t^7.675)/(g1*g2^7*y) + (3*t^7.675)/(g1^11*g2^5*y) + (5*g1*g2*t^7.721)/y + (g1^6*t^8.117)/(g2^6*y) + (5*t^8.117)/(g1^4*g2^4*y) + t^8.117/(g1^14*g2^2*y) + (2*g1^8*g2^2*t^8.163)/y + (2*g2^4*t^8.163)/(g1^2*y) - (g1*t^8.512)/(g2^11*y) - t^8.512/(g1^9*g2^9*y) - t^8.512/(g1^19*g2^7*y) + (3*g1^3*t^8.558)/(g2^3*y) + (3*t^8.558)/(g1^7*g2*y) - (2*t^8.954)/(g1^2*g2^8*y) - (2*t^8.954)/(g1^12*g2^6*y) - (t^4.279*y)/(g1*g2) - (t^6.396*y)/g2^6 - (t^6.396*y)/(g1^10*g2^4) - (2*t^6.837*y)/(g1^3*g2^3) + (t^7.233*y)/(g1^8*g2^8) + (t^7.279*y)/g1^6 + (g1^4*t^7.279*y)/g2^2 + (3*t^7.675*y)/(g1*g2^7) + (3*t^7.675*y)/(g1^11*g2^5) + 5*g1*g2*t^7.721*y + (g1^6*t^8.117*y)/g2^6 + (5*t^8.117*y)/(g1^4*g2^4) + (t^8.117*y)/(g1^14*g2^2) + 2*g1^8*g2^2*t^8.163*y + (2*g2^4*t^8.163*y)/g1^2 - (g1*t^8.512*y)/g2^11 - (t^8.512*y)/(g1^9*g2^9) - (t^8.512*y)/(g1^19*g2^7) + (3*g1^3*t^8.558*y)/g2^3 + (3*t^8.558*y)/(g1^7*g2) - (2*t^8.954*y)/(g1^2*g2^8) - (2*t^8.954*y)/(g1^12*g2^6) |
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 |
---|---|---|---|---|---|---|---|---|---|
301 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.5735 | 0.7428 | 0.772 | [M:[1.1397, 0.7206, 0.7206, 0.8603], q:[0.5754, 0.9945], qb:[0.2849, 0.4246], phi:[0.4302]] | t^2.129 + 2*t^2.162 + 2*t^2.581 + 2*t^3. + t^3.419 + 2*t^4.257 + 2*t^4.29 + 3*t^4.324 + 3*t^4.71 + 4*t^4.743 + 2*t^5.129 + 6*t^5.162 + t^5.548 + 4*t^5.581 + t^6. - t^4.29/y - t^4.29*y | detail |