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 |
---|---|---|---|---|---|---|---|---|---|
3611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6643 | 0.8419 | 0.789 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.8421], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 18225/27436, c: 46197/54872, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 16/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | 0 | t^2.053 + t^2.368 + t^2.526 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + t^4.579 + 3*t^4.737 + 2*t^4.895 + 3*t^5.053 + 2*t^5.211 + 3*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 + 5*t^6.158 + 4*t^6.474 + 3*t^6.632 + 4*t^6.789 + 4*t^6.947 + 5*t^7.105 + 3*t^7.263 + 6*t^7.421 + 5*t^7.579 + 5*t^7.737 + 5*t^7.895 + 2*t^8.053 + 8*t^8.211 + t^8.368 + 6*t^8.526 + 2*t^8.684 + 6*t^8.842 - t^4.421/y - t^6.474/y - t^6.947/y - t^7.263/y + t^7.421/y + (2*t^7.579)/y + t^7.737/y + (3*t^7.895)/y + (2*t^8.053)/y + (2*t^8.211)/y + (4*t^8.368)/y + t^8.526/y + (3*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y - t^6.947*y - t^7.263*y + t^7.421*y + 2*t^7.579*y + t^7.737*y + 3*t^7.895*y + 2*t^8.053*y + 2*t^8.211*y + 4*t^8.368*y + t^8.526*y + 3*t^8.684*y + 3*t^8.842*y | t^2.053 + t^2.368 + t^2.526 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + t^4.579 + 3*t^4.737 + 2*t^4.895 + 3*t^5.053 + 2*t^5.211 + 3*t^5.368 + 2*t^5.526 + 2*t^5.684 + 3*t^5.842 + 5*t^6.158 + 4*t^6.474 + 3*t^6.632 + 4*t^6.789 + 4*t^6.947 + 5*t^7.105 + 3*t^7.263 + 6*t^7.421 + 5*t^7.579 + 5*t^7.737 + 5*t^7.895 + 2*t^8.053 + 8*t^8.211 + t^8.368 + 6*t^8.526 + 2*t^8.684 + 6*t^8.842 - t^4.421/y - t^6.474/y - t^6.947/y - t^7.263/y + t^7.421/y + (2*t^7.579)/y + t^7.737/y + (3*t^7.895)/y + (2*t^8.053)/y + (2*t^8.211)/y + (4*t^8.368)/y + t^8.526/y + (3*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y - t^6.947*y - t^7.263*y + t^7.421*y + 2*t^7.579*y + t^7.737*y + 3*t^7.895*y + 2*t^8.053*y + 2*t^8.211*y + 4*t^8.368*y + t^8.526*y + 3*t^8.684*y + 3*t^8.842*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 |
---|---|---|---|---|---|---|---|---|
5291 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6435 | 0.8014 | 0.803 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.8421, 1.3158], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.368 + t^2.526 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + t^4.895 + 2*t^5.053 + 2*t^5.211 + 2*t^5.368 + 2*t^5.526 + t^5.684 + 2*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 3717/5776, c: 4629/5776, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 16/19, M7: 25/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
5293 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.6738 | 0.858 | 0.7853 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 0.8421, 0.8947], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.053 + t^2.368 + t^2.526 + 2*t^2.684 + t^2.842 + t^3. + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + t^4.579 + 4*t^4.737 + 2*t^4.895 + 4*t^5.053 + 3*t^5.211 + 4*t^5.368 + 3*t^5.526 + 2*t^5.684 + 2*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 73947/109744, c: 94163/109744, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 16/19, M7: 17/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
2990 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6728 | 0.8554 | 0.7865 | [M:[1.1885, 0.7593, 0.8115, 1.1362, 0.8638, 0.7538], q:[0.4319, 0.3796], qb:[0.7565, 0.4842], phi:[0.4869]] | t^2.261 + t^2.278 + t^2.435 + t^2.591 + t^2.748 + t^2.922 + t^3.409 + t^3.565 + t^3.895 + 2*t^4.052 + t^4.209 + t^4.366 + t^4.523 + t^4.539 + t^4.556 + t^4.696 + t^4.712 + t^4.853 + 2*t^4.869 + t^5.01 + 2*t^5.026 + 3*t^5.183 + t^5.199 + t^5.34 + t^5.356 + t^5.497 + t^5.513 + 2*t^5.67 + t^5.827 + t^5.843 - t^6. - t^4.461/y - t^4.461*y | detail |