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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56600 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ | 0.7338 | 0.918 | 0.7994 | [M:[1.0, 1.0529, 1.0, 0.8412, 0.8941, 0.6853, 0.9471], q:[0.4206, 0.5794], qb:[0.5265, 0.5794], phi:[0.4735]] | [M:[[0], [2], [0], [-6], [-4], [7], [-2]], q:[[-3], [3]], qb:[[1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | ${}M_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | -2 | t^2.056 + t^2.523 + t^2.682 + 2*t^2.841 + 2*t^3. + t^3.318 + t^4.112 + t^4.262 + 2*t^4.421 + 2*t^4.579 + 3*t^4.738 + 5*t^4.897 + t^5.047 + 2*t^5.056 + t^5.206 + 3*t^5.365 + t^5.374 + 2*t^5.523 + 4*t^5.682 + 3*t^5.841 - 2*t^6. + t^6.168 + t^6.318 + 3*t^6.635 + t^6.785 + 3*t^6.794 + t^6.944 + 5*t^6.953 + 4*t^7.103 + 2*t^7.112 + 6*t^7.262 + 7*t^7.421 + t^7.43 + t^7.57 + 6*t^7.579 + t^7.729 + 9*t^7.738 + 3*t^7.888 + 4*t^7.897 + 3*t^8.047 - 4*t^8.056 + 4*t^8.206 + t^8.215 + t^8.224 + 3*t^8.365 + t^8.374 + t^8.523 + 3*t^8.691 - 6*t^8.841 + 3*t^8.85 - t^4.421/y - t^6.477/y - t^6.944/y - t^7.103/y - t^7.262/y + (2*t^7.579)/y + (2*t^7.738)/y + (3*t^7.897)/y + (2*t^8.056)/y + t^8.206/y + (3*t^8.365)/y + t^8.374/y + (4*t^8.523)/y - t^8.532/y + (3*t^8.682)/y + (5*t^8.841)/y - t^4.421*y - t^6.477*y - t^6.944*y - t^7.103*y - t^7.262*y + 2*t^7.579*y + 2*t^7.738*y + 3*t^7.897*y + 2*t^8.056*y + t^8.206*y + 3*t^8.365*y + t^8.374*y + 4*t^8.523*y - t^8.532*y + 3*t^8.682*y + 5*t^8.841*y | g1^7*t^2.056 + t^2.523/g1^6 + t^2.682/g1^4 + (2*t^2.841)/g1^2 + 2*t^3. + g1^4*t^3.318 + g1^14*t^4.112 + t^4.262/g1^3 + (2*t^4.421)/g1 + 2*g1*t^4.579 + 3*g1^3*t^4.738 + 5*g1^5*t^4.897 + t^5.047/g1^12 + 2*g1^7*t^5.056 + t^5.206/g1^10 + (3*t^5.365)/g1^8 + g1^11*t^5.374 + (2*t^5.523)/g1^6 + (4*t^5.682)/g1^4 + (3*t^5.841)/g1^2 - 2*t^6. + g1^21*t^6.168 + g1^4*t^6.318 + 3*g1^8*t^6.635 + t^6.785/g1^9 + 3*g1^10*t^6.794 + t^6.944/g1^7 + 5*g1^12*t^6.953 + (4*t^7.103)/g1^5 + 2*g1^14*t^7.112 + (6*t^7.262)/g1^3 + (7*t^7.421)/g1 + g1^18*t^7.43 + t^7.57/g1^18 + 6*g1*t^7.579 + t^7.729/g1^16 + 9*g1^3*t^7.738 + (3*t^7.888)/g1^14 + 4*g1^5*t^7.897 + (3*t^8.047)/g1^12 - 4*g1^7*t^8.056 + (4*t^8.206)/g1^10 + g1^9*t^8.215 + g1^28*t^8.224 + (3*t^8.365)/g1^8 + g1^11*t^8.374 + t^8.523/g1^6 + 3*g1^15*t^8.691 - (6*t^8.841)/g1^2 + 3*g1^17*t^8.85 - t^4.421/(g1*y) - (g1^6*t^6.477)/y - t^6.944/(g1^7*y) - t^7.103/(g1^5*y) - t^7.262/(g1^3*y) + (2*g1*t^7.579)/y + (2*g1^3*t^7.738)/y + (3*g1^5*t^7.897)/y + (2*g1^7*t^8.056)/y + t^8.206/(g1^10*y) + (3*t^8.365)/(g1^8*y) + (g1^11*t^8.374)/y + (4*t^8.523)/(g1^6*y) - (g1^13*t^8.532)/y + (3*t^8.682)/(g1^4*y) + (5*t^8.841)/(g1^2*y) - (t^4.421*y)/g1 - g1^6*t^6.477*y - (t^6.944*y)/g1^7 - (t^7.103*y)/g1^5 - (t^7.262*y)/g1^3 + 2*g1*t^7.579*y + 2*g1^3*t^7.738*y + 3*g1^5*t^7.897*y + 2*g1^7*t^8.056*y + (t^8.206*y)/g1^10 + (3*t^8.365*y)/g1^8 + g1^11*t^8.374*y + (4*t^8.523*y)/g1^6 - g1^13*t^8.532*y + (3*t^8.682*y)/g1^4 + (5*t^8.841*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
58761 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7186 | 0.9004 | 0.7981 | [M:[1.0, 1.0909, 1.0, 0.7273, 0.8182, 0.8182, 0.9091], q:[0.3636, 0.6364], qb:[0.5455, 0.6364], phi:[0.4545]] | t^2.182 + 2*t^2.455 + 2*t^2.727 + 2*t^3. + t^3.545 + t^4.091 + 3*t^4.364 + 3*t^4.636 + 7*t^4.909 + 7*t^5.182 + 6*t^5.455 + 3*t^5.727 - t^6. - t^4.364/y - t^4.364*y | detail | {a: 15303/21296, c: 19175/21296, M1: 1, M2: 12/11, M3: 1, M4: 8/11, M5: 9/11, M6: 9/11, M7: 10/11, q1: 4/11, q2: 7/11, qb1: 6/11, qb2: 7/11, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
54585 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.735 | 0.921 | 0.7981 | [M:[1.0277, 1.0526, 0.9723, 0.8422, 0.867, 0.6841, 0.9474], q:[0.4211, 0.5512], qb:[0.5263, 0.6066], phi:[0.4737]] | t^2.052 + t^2.527 + t^2.601 + 2*t^2.842 + t^2.917 + t^3.083 + t^3.232 + t^4.105 + t^4.263 + t^4.338 + t^4.504 + 2*t^4.579 + 2*t^4.654 + t^4.728 + t^4.82 + 3*t^4.895 + t^4.969 + t^5.053 + t^5.061 + t^5.128 + t^5.136 + t^5.202 + t^5.285 + 2*t^5.369 + 2*t^5.443 + t^5.518 + 3*t^5.684 + 2*t^5.759 + t^5.834 + t^5.925 - 3*t^6. - t^4.421/y - t^4.421*y | detail |