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 |
---|---|---|---|---|---|---|---|---|---|
831 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ | 0.7138 | 0.8725 | 0.8181 | [M:[1.0, 1.0782, 0.8436, 1.0, 0.8436, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6564], phi:[0.4609]] | [M:[[1, 0], [0, 2], [-1, -4], [-1, 0], [1, -4], [0, 0]], q:[[0, 0], [-1, 0]], qb:[[1, 0], [0, 4]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$ | ${}M_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | -2 | 2*t^2.531 + 3*t^3. + t^3.235 + t^3.469 + 6*t^4.383 + 3*t^4.852 + 3*t^5.061 + t^5.321 + 3*t^5.531 + 2*t^5.765 - 2*t^6. + 3*t^6.235 + t^6.704 + 9*t^6.913 + t^6.939 + 12*t^7.383 + 4*t^7.592 + 5*t^7.852 + 4*t^8.061 + 3*t^8.296 + 3*t^8.321 - 10*t^8.531 + 18*t^8.765 + t^8.791 - t^4.383/y - (2*t^6.913)/y + (2*t^7.852)/y + t^8.061/y + (6*t^8.531)/y + (2*t^8.765)/y - t^4.383*y - 2*t^6.913*y + 2*t^7.852*y + t^8.061*y + 6*t^8.531*y + 2*t^8.765*y | t^2.531/(g1*g2^4) + (g1*t^2.531)/g2^4 + t^3. + t^3./g1 + g1*t^3. + g2^2*t^3.235 + g2^4*t^3.469 + (2*t^4.383)/g2 + t^4.383/(g1^2*g2) + t^4.383/(g1*g2) + (g1*t^4.383)/g2 + (g1^2*t^4.383)/g2 + g2^3*t^4.852 + (g2^3*t^4.852)/g1 + g1*g2^3*t^4.852 + t^5.061/g2^8 + t^5.061/(g1^2*g2^8) + (g1^2*t^5.061)/g2^8 + g2^7*t^5.321 + t^5.531/g2^4 + t^5.531/(g1^2*g2^4) + (g1^2*t^5.531)/g2^4 + t^5.765/(g1*g2^2) + (g1*t^5.765)/g2^2 - 2*t^6. + g2^2*t^6.235 + (g2^2*t^6.235)/g1 + g1*g2^2*t^6.235 + g2^6*t^6.704 + t^6.913/g2^5 + t^6.913/(g1^3*g2^5) + t^6.913/(g1^2*g2^5) + (2*t^6.913)/(g1*g2^5) + (2*g1*t^6.913)/g2^5 + (g1^2*t^6.913)/g2^5 + (g1^3*t^6.913)/g2^5 + g2^8*t^6.939 + (2*t^7.383)/g2 + t^7.383/(g1^3*g2) + (2*t^7.383)/(g1^2*g2) + (2*t^7.383)/(g1*g2) + (2*g1*t^7.383)/g2 + (2*g1^2*t^7.383)/g2 + (g1^3*t^7.383)/g2 + t^7.592/(g1^3*g2^12) + t^7.592/(g1*g2^12) + (g1*t^7.592)/g2^12 + (g1^3*t^7.592)/g2^12 + g2^3*t^7.852 + (g2^3*t^7.852)/g1^2 + (g2^3*t^7.852)/g1 + g1*g2^3*t^7.852 + g1^2*g2^3*t^7.852 + t^8.061/(g1^3*g2^8) + t^8.061/(g1*g2^8) + (g1*t^8.061)/g2^8 + (g1^3*t^8.061)/g2^8 + t^8.296/g2^6 + t^8.296/(g1^2*g2^6) + (g1^2*t^8.296)/g2^6 + g2^7*t^8.321 + (g2^7*t^8.321)/g1 + g1*g2^7*t^8.321 - (2*t^8.531)/g2^4 - t^8.531/(g1^2*g2^4) - (3*t^8.531)/(g1*g2^4) - (3*g1*t^8.531)/g2^4 - (g1^2*t^8.531)/g2^4 + (4*t^8.765)/g2^2 + t^8.765/(g1^4*g2^2) + t^8.765/(g1^3*g2^2) + (3*t^8.765)/(g1^2*g2^2) + (2*t^8.765)/(g1*g2^2) + (2*g1*t^8.765)/g2^2 + (3*g1^2*t^8.765)/g2^2 + (g1^3*t^8.765)/g2^2 + (g1^4*t^8.765)/g2^2 + g2^11*t^8.791 - t^4.383/(g2*y) - t^6.913/(g1*g2^5*y) - (g1*t^6.913)/(g2^5*y) + (g2^3*t^7.852)/(g1*y) + (g1*g2^3*t^7.852)/y + t^8.061/(g2^8*y) + (2*t^8.531)/(g2^4*y) + t^8.531/(g1^2*g2^4*y) + t^8.531/(g1*g2^4*y) + (g1*t^8.531)/(g2^4*y) + (g1^2*t^8.531)/(g2^4*y) + t^8.765/(g1*g2^2*y) + (g1*t^8.765)/(g2^2*y) - (t^4.383*y)/g2 - (t^6.913*y)/(g1*g2^5) - (g1*t^6.913*y)/g2^5 + (g2^3*t^7.852*y)/g1 + g1*g2^3*t^7.852*y + (t^8.061*y)/g2^8 + (2*t^8.531*y)/g2^4 + (t^8.531*y)/(g1^2*g2^4) + (t^8.531*y)/(g1*g2^4) + (g1*t^8.531*y)/g2^4 + (g1^2*t^8.531*y)/g2^4 + (t^8.765*y)/(g1*g2^2) + (g1*t^8.765*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 |
---|---|---|---|---|---|---|---|---|
1312 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{7}$ | 0.7149 | 0.8751 | 0.817 | [M:[1.0239, 1.078, 0.8202, 0.9761, 0.868, 1.0, 0.9761], q:[0.5, 0.4761], qb:[0.5239, 0.6559], phi:[0.461]] | t^2.461 + t^2.604 + 2*t^2.928 + t^3. + t^3.234 + t^3.468 + t^4.24 + t^4.311 + 2*t^4.383 + t^4.455 + t^4.527 + t^4.779 + t^4.851 + t^4.921 + t^4.923 + t^5.065 + t^5.208 + t^5.318 + 2*t^5.389 + t^5.532 + t^5.694 + t^5.838 + 2*t^5.857 + t^5.928 - 3*t^6. - t^4.383/y - t^4.383*y | detail | |
1315 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7287 | 0.8998 | 0.8098 | [M:[1.0, 1.0955, 0.809, 1.0, 0.809, 1.0, 0.809], q:[0.5, 0.5], qb:[0.5, 0.691], phi:[0.4523]] | 3*t^2.427 + 3*t^3. + t^3.286 + 6*t^4.357 + 6*t^4.854 + 3*t^4.93 + 6*t^5.427 + t^5.503 + 3*t^5.714 - 4*t^6. - t^4.357/y - t^4.357*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 |
---|---|---|---|---|---|---|---|---|---|
534 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ | 0.7331 | 0.8939 | 0.8201 | [M:[0.8539, 1.1461, 0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | 4*t^2.562 + t^3. + t^3.438 + t^3.876 + 3*t^4.281 + 4*t^4.719 + 10*t^5.124 + 3*t^5.157 - 3*t^6. - t^4.281/y - t^4.281*y | detail |