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 |
---|---|---|---|---|---|---|---|---|---|
56155 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6065 | 0.7407 | 0.8188 | [X:[1.4119], M:[1.0881, 1.0595, 0.9119, 0.5881, 1.0, 0.6762, 1.1762], q:[0.294, 0.6179], qb:[0.6464, 0.794], phi:[0.4119]] | [X:[[2]], M:[[-2], [10], [2], [-2], [0], [-4], [-4]], q:[[-1], [3]], qb:[[-9], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.029 + t^2.736 + t^3. + t^3.179 + t^3.264 + t^3.529 + t^3.793 + 2*t^4.057 + t^4.236 + t^4.321 + t^4.764 + t^5.029 + t^5.114 + t^5.207 + t^5.293 + t^5.471 + t^5.557 + t^5.821 - t^6. + t^6.086 + 2*t^6.264 + t^6.35 + t^6.357 + t^6.529 + 2*t^6.793 + t^6.971 + 3*t^7.057 + t^7.143 - t^7.15 + 2*t^7.321 + t^7.414 + t^7.5 + 3*t^7.586 + 3*t^7.85 - t^7.943 - 2*t^8.029 + 3*t^8.114 + t^8.122 + 2*t^8.293 + 2*t^8.378 + t^8.386 + t^8.557 + t^8.643 - 2*t^8.736 + t^8.821 + t^8.907 - t^4.236/y - t^6.264/y + t^7.057/y - t^7.414/y + t^7.764/y + t^8.029/y + (2*t^8.207)/y + t^8.557/y + t^8.736/y + t^8.821/y + t^8.914/y - t^4.236*y - t^6.264*y + t^7.057*y - t^7.414*y + t^7.764*y + t^8.029*y + 2*t^8.207*y + t^8.557*y + t^8.736*y + t^8.821*y + t^8.914*y | t^2.029/g1^4 + g1^2*t^2.736 + t^3. + g1^10*t^3.179 + t^3.264/g1^2 + t^3.529/g1^4 + t^3.793/g1^6 + (2*t^4.057)/g1^8 + g1^2*t^4.236 + t^4.321/g1^10 + t^4.764/g1^2 + t^5.029/g1^4 + t^5.114/g1^16 + g1^6*t^5.207 + t^5.293/g1^6 + g1^4*t^5.471 + t^5.557/g1^8 + t^5.821/g1^10 - t^6. + t^6.086/g1^12 + (2*t^6.264)/g1^2 + t^6.35/g1^14 + g1^20*t^6.357 + t^6.529/g1^4 + (2*t^6.793)/g1^6 + g1^4*t^6.971 + (3*t^7.057)/g1^8 + t^7.143/g1^20 - g1^14*t^7.15 + (2*t^7.321)/g1^10 + g1^12*t^7.414 + t^7.5 + (3*t^7.586)/g1^12 + (3*t^7.85)/g1^14 - g1^8*t^7.943 - (2*t^8.029)/g1^4 + (3*t^8.114)/g1^16 + g1^18*t^8.122 + (2*t^8.293)/g1^6 + (2*t^8.378)/g1^18 + g1^16*t^8.386 + t^8.557/g1^8 + t^8.643/g1^20 - 2*g1^2*t^8.736 + t^8.821/g1^10 + t^8.907/g1^22 - (g1^2*t^4.236)/y - t^6.264/(g1^2*y) + t^7.057/(g1^8*y) - (g1^12*t^7.414)/y + t^7.764/(g1^2*y) + t^8.029/(g1^4*y) + (2*g1^6*t^8.207)/y + t^8.557/(g1^8*y) + (g1^2*t^8.736)/y + t^8.821/(g1^10*y) + (g1^12*t^8.914)/y - g1^2*t^4.236*y - (t^6.264*y)/g1^2 + (t^7.057*y)/g1^8 - g1^12*t^7.414*y + (t^7.764*y)/g1^2 + (t^8.029*y)/g1^4 + 2*g1^6*t^8.207*y + (t^8.557*y)/g1^8 + g1^2*t^8.736*y + (t^8.821*y)/g1^10 + g1^12*t^8.914*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 |
---|---|---|---|---|---|---|---|---|
58333 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.6146 | 0.7538 | 0.8154 | [X:[1.4089], M:[1.0911, 1.0447, 0.9089, 0.5911, 1.0, 0.6821, 1.1821, 0.9089], q:[0.2955, 0.6134], qb:[0.6598, 0.7955], phi:[0.4089]] | t^2.046 + 2*t^2.727 + t^3. + t^3.134 + t^3.546 + t^3.82 + 2*t^4.093 + t^4.227 + t^4.366 + 2*t^4.773 + t^5.046 + t^5.18 + t^5.186 + 3*t^5.454 + t^5.593 + t^5.727 + t^5.861 + t^5.866 - 2*t^6. - t^4.227/y - t^4.227*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 |
---|---|---|---|---|---|---|---|---|---|
50905 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6217 | 0.7664 | 0.8112 | [X:[1.4074], M:[1.0926, 1.0372, 0.9074, 0.5926, 1.0, 0.6851], q:[0.2963, 0.6112], qb:[0.6665, 0.7963], phi:[0.4074]] | t^2.055 + t^2.445 + t^2.722 + t^3. + t^3.112 + t^3.278 + t^3.833 + 2*t^4.111 + t^4.222 + t^4.388 + t^4.5 + t^4.778 + t^4.889 + t^5.055 + 2*t^5.167 + t^5.221 + t^5.333 + 2*t^5.445 + t^5.556 + t^5.722 + t^5.888 - t^6. - t^4.222/y - t^4.222*y | detail |