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 |
---|---|---|---|---|---|---|---|---|---|
122 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.669 | 0.8356 | 0.8006 | [M:[0.6922, 0.6922, 0.7], q:[0.8367, 0.8133], qb:[0.4711, 0.4789], phi:[0.35]] | [M:[[1, -4, -1], [0, 1, -5], [0, -2, -2]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.077 + 2*t^2.1 + t^2.85 + t^3.853 + 2*t^3.877 + t^3.947 + 3*t^4.153 + 4*t^4.177 + 3*t^4.2 + 2*t^4.927 + 3*t^4.95 + t^5.7 + 2*t^5.93 + 5*t^5.953 + 2*t^5.977 - 3*t^6. + t^6.047 + 4*t^6.23 + 6*t^6.253 + 6*t^6.277 + 4*t^6.3 + t^6.703 + 2*t^6.727 + t^6.797 + 2*t^7.003 + 4*t^7.027 + 3*t^7.05 - 2*t^7.073 - t^7.097 + t^7.706 + 2*t^7.73 + 2*t^7.753 + t^7.8 - t^7.847 + t^7.894 + 3*t^8.006 + 8*t^8.03 + 5*t^8.053 - 4*t^8.077 - 6*t^8.1 - 2*t^8.123 + t^8.147 + 5*t^8.306 + 8*t^8.33 + 9*t^8.353 + 8*t^8.377 + 5*t^8.4 + t^8.55 + 2*t^8.78 + 5*t^8.803 + 2*t^8.827 - 5*t^8.85 - 2*t^8.873 + t^8.897 - t^4.05/y - (2*t^6.127)/y - (2*t^6.15)/y + t^7.153/y + (4*t^7.177)/y + t^7.2/y + (2*t^7.927)/y + (4*t^7.95)/y + (2*t^7.973)/y - (3*t^8.203)/y - (4*t^8.227)/y - (3*t^8.25)/y + (2*t^8.93)/y + (6*t^8.953)/y + (4*t^8.977)/y - t^4.05*y - 2*t^6.127*y - 2*t^6.15*y + t^7.153*y + 4*t^7.177*y + t^7.2*y + 2*t^7.927*y + 4*t^7.95*y + 2*t^7.973*y - 3*t^8.203*y - 4*t^8.227*y - 3*t^8.25*y + 2*t^8.93*y + 6*t^8.953*y + 4*t^8.977*y | (g2*t^2.077)/g3^5 + (g1*t^2.077)/(g2^4*g3) + (2*t^2.1)/(g2^2*g3^2) + g2^3*g3^3*t^2.85 + g1*g2^3*t^3.853 + (g2^5*t^3.877)/g3 + g1*g3^3*t^3.877 + (g2*g3^4*t^3.947)/g1 + (g2^2*t^4.153)/g3^10 + (g1*t^4.153)/(g2^3*g3^6) + (g1^2*t^4.153)/(g2^8*g3^2) + (2*t^4.177)/(g2*g3^7) + (2*g1*t^4.177)/(g2^6*g3^3) + (3*t^4.2)/(g2^4*g3^4) + (g2^4*t^4.927)/g3^2 + (g1*g3^2*t^4.927)/g2 + 3*g2*g3*t^4.95 + g2^6*g3^6*t^5.7 + (g1*g2^4*t^5.93)/g3^5 + (g1^2*t^5.93)/(g2*g3) + (g2^6*t^5.953)/g3^6 + (3*g1*g2*t^5.953)/g3^2 + (g1^2*g3^2*t^5.953)/g2^4 + (g2^3*t^5.977)/g3^3 + (g1*g3*t^5.977)/g2^2 - 3*t^6. + (g3^2*t^6.047)/(g1*g2) + (g2^3*t^6.23)/g3^15 + (g1*t^6.23)/(g2^2*g3^11) + (g1^2*t^6.23)/(g2^7*g3^7) + (g1^3*t^6.23)/(g2^12*g3^3) + (2*t^6.253)/g3^12 + (2*g1*t^6.253)/(g2^5*g3^8) + (2*g1^2*t^6.253)/(g2^10*g3^4) + (3*t^6.277)/(g2^3*g3^9) + (3*g1*t^6.277)/(g2^8*g3^5) + (4*t^6.3)/(g2^6*g3^6) + g1*g2^6*g3^3*t^6.703 + g2^8*g3^2*t^6.727 + g1*g2^3*g3^6*t^6.727 + (g2^4*g3^7*t^6.797)/g1 + (g2^5*t^7.003)/g3^7 + (g1^2*g3*t^7.003)/g2^5 + (2*g1*t^7.027)/g2^3 + (2*g2^2*t^7.027)/g3^4 + (3*t^7.05)/(g2*g3) - (g2*t^7.073)/(g1*g3^2) - (g3^2*t^7.073)/g2^4 - (g3*t^7.097)/(g1*g2^2) + g1^2*g2^6*t^7.706 + (g1*g2^8*t^7.73)/g3 + g1^2*g2^3*g3^3*t^7.73 + (g2^10*t^7.753)/g3^2 + g1^2*g3^6*t^7.753 + g2^4*g3^4*t^7.8 - (g2^3*g3^6*t^7.847)/g1 + (g2^2*g3^8*t^7.894)/g1^2 + (g1*g2^5*t^8.006)/g3^10 + (g1^2*t^8.006)/g3^6 + (g1^3*t^8.006)/(g2^5*g3^2) + (g2^7*t^8.03)/g3^11 + (3*g1*g2^2*t^8.03)/g3^7 + (3*g1^2*t^8.03)/(g2^3*g3^3) + (g1^3*g3*t^8.03)/g2^8 + (g1^2*t^8.053)/g2^6 + (g2^4*t^8.053)/g3^8 + (3*g1*t^8.053)/(g2*g3^4) - (2*g2*t^8.077)/g3^5 - (2*g1*t^8.077)/(g2^4*g3) - (6*t^8.1)/(g2^2*g3^2) - t^8.123/(g1*g3^3) - (g3*t^8.123)/g2^5 + t^8.147/(g1*g2^3) + (g2^4*t^8.306)/g3^20 + (g1*t^8.306)/(g2*g3^16) + (g1^2*t^8.306)/(g2^6*g3^12) + (g1^3*t^8.306)/(g2^11*g3^8) + (g1^4*t^8.306)/(g2^16*g3^4) + (2*g2*t^8.33)/g3^17 + (2*g1*t^8.33)/(g2^4*g3^13) + (2*g1^2*t^8.33)/(g2^9*g3^9) + (2*g1^3*t^8.33)/(g2^14*g3^5) + (3*t^8.353)/(g2^2*g3^14) + (3*g1*t^8.353)/(g2^7*g3^10) + (3*g1^2*t^8.353)/(g2^12*g3^6) + (4*t^8.377)/(g2^5*g3^11) + (4*g1*t^8.377)/(g2^10*g3^7) + (5*t^8.4)/(g2^8*g3^8) + g2^9*g3^9*t^8.55 + (g1*g2^7*t^8.78)/g3^2 + g1^2*g2^2*g3^2*t^8.78 + (g2^9*t^8.803)/g3^3 + 3*g1*g2^4*g3*t^8.803 + (g1^2*g3^5*t^8.803)/g2 + g2^6*t^8.827 + g1*g2*g3^4*t^8.827 - 5*g2^3*g3^3*t^8.85 - (g2^5*g3^2*t^8.873)/g1 - g3^6*t^8.873 + (g2^2*g3^5*t^8.897)/g1 - t^4.05/(g2*g3*y) - t^6.127/(g3^6*y) - (g1*t^6.127)/(g2^5*g3^2*y) - (2*t^6.15)/(g2^3*g3^3*y) + (g1*t^7.153)/(g2^3*g3^6*y) + (2*t^7.177)/(g2*g3^7*y) + (2*g1*t^7.177)/(g2^6*g3^3*y) + t^7.2/(g2^4*g3^4*y) + (g2^4*t^7.927)/(g3^2*y) + (g1*g3^2*t^7.927)/(g2*y) + (4*g2*g3*t^7.95)/y + (g2^3*t^7.973)/(g1*y) + (g3^4*t^7.973)/(g2^2*y) - (g2*t^8.203)/(g3^11*y) - (g1*t^8.203)/(g2^4*g3^7*y) - (g1^2*t^8.203)/(g2^9*g3^3*y) - (2*t^8.227)/(g2^2*g3^8*y) - (2*g1*t^8.227)/(g2^7*g3^4*y) - (3*t^8.25)/(g2^5*g3^5*y) + (g1*g2^4*t^8.93)/(g3^5*y) + (g1^2*t^8.93)/(g2*g3*y) + (g2^6*t^8.953)/(g3^6*y) + (4*g1*g2*t^8.953)/(g3^2*y) + (g1^2*g3^2*t^8.953)/(g2^4*y) + (2*g2^3*t^8.977)/(g3^3*y) + (2*g1*g3*t^8.977)/(g2^2*y) - (t^4.05*y)/(g2*g3) - (t^6.127*y)/g3^6 - (g1*t^6.127*y)/(g2^5*g3^2) - (2*t^6.15*y)/(g2^3*g3^3) + (g1*t^7.153*y)/(g2^3*g3^6) + (2*t^7.177*y)/(g2*g3^7) + (2*g1*t^7.177*y)/(g2^6*g3^3) + (t^7.2*y)/(g2^4*g3^4) + (g2^4*t^7.927*y)/g3^2 + (g1*g3^2*t^7.927*y)/g2 + 4*g2*g3*t^7.95*y + (g2^3*t^7.973*y)/g1 + (g3^4*t^7.973*y)/g2^2 - (g2*t^8.203*y)/g3^11 - (g1*t^8.203*y)/(g2^4*g3^7) - (g1^2*t^8.203*y)/(g2^9*g3^3) - (2*t^8.227*y)/(g2^2*g3^8) - (2*g1*t^8.227*y)/(g2^7*g3^4) - (3*t^8.25*y)/(g2^5*g3^5) + (g1*g2^4*t^8.93*y)/g3^5 + (g1^2*t^8.93*y)/(g2*g3) + (g2^6*t^8.953*y)/g3^6 + (4*g1*g2*t^8.953*y)/g3^2 + (g1^2*g3^2*t^8.953*y)/g2^4 + (2*g2^3*t^8.977*y)/g3^3 + (2*g1*g3*t^8.977*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
76 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6485 | 0.7967 | 0.8141 | [M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], phi:[0.3524]] | 2*t^2.088 + t^2.114 + t^2.828 + t^3.833 + 2*t^3.859 + t^3.886 + t^3.939 + 3*t^4.176 + 2*t^4.202 + t^4.229 + 2*t^4.916 + 2*t^4.943 + t^5.657 + 2*t^5.921 + 4*t^5.947 + 2*t^5.974 - 2*t^6. - t^4.057/y - t^4.057*y | detail |