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 |
---|---|---|---|---|---|---|---|---|---|
55903 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6554 | 0.8343 | 0.7856 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 255747/390224, c: 162775/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 2 | t^2.07 + t^2.28 + t^2.48 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + 2*t^4.55 + 3*t^4.76 + 3*t^4.97 + 3*t^5.17 + 3*t^5.38 + 3*t^5.59 + 4*t^5.79 + 2*t^6. + 4*t^6.21 + 4*t^6.41 + 4*t^6.62 + 6*t^6.83 + 5*t^7.03 + 6*t^7.24 + 6*t^7.45 + 7*t^7.66 + 6*t^7.86 + 5*t^8.07 + 7*t^8.28 + 5*t^8.48 + 6*t^8.69 + 6*t^8.9 - t^4.45/y - t^6.52/y - t^6.93/y + t^7.34/y + t^7.55/y + (2*t^7.76)/y + (3*t^7.97)/y + (3*t^8.17)/y + (4*t^8.38)/y + (3*t^8.59)/y + (4*t^8.79)/y - t^4.45*y - t^6.52*y - t^6.93*y + t^7.34*y + t^7.55*y + 2*t^7.76*y + 3*t^7.97*y + 3*t^8.17*y + 4*t^8.38*y + 3*t^8.59*y + 4*t^8.79*y | t^2.07 + t^2.28 + t^2.48 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + 2*t^4.55 + 3*t^4.76 + 3*t^4.97 + 3*t^5.17 + 3*t^5.38 + 3*t^5.59 + 4*t^5.79 + 2*t^6. + 4*t^6.21 + 4*t^6.41 + 4*t^6.62 + 6*t^6.83 + 5*t^7.03 + 6*t^7.24 + 6*t^7.45 + 7*t^7.66 + 6*t^7.86 + 5*t^8.07 + 7*t^8.28 + 5*t^8.48 + 6*t^8.69 + 6*t^8.9 - t^4.45/y - t^6.52/y - t^6.93/y + t^7.34/y + t^7.55/y + (2*t^7.76)/y + (3*t^7.97)/y + (3*t^8.17)/y + (4*t^8.38)/y + (3*t^8.59)/y + (4*t^8.79)/y - t^4.45*y - t^6.52*y - t^6.93*y + t^7.34*y + t^7.55*y + 2*t^7.76*y + 3*t^7.97*y + 3*t^8.17*y + 4*t^8.38*y + 3*t^8.59*y + 4*t^8.79*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 |
---|---|---|---|---|---|---|---|---|
57529 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ | 0.646 | 0.8184 | 0.7893 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 1.1034], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.48 + t^2.9 + t^3.1 + 2*t^3.31 + t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + 2*t^4.55 + 2*t^4.76 + 2*t^4.97 + 2*t^5.17 + 3*t^5.38 + 3*t^5.59 + 4*t^5.79 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 63021/97556, c: 79841/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 32/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
57530 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{6}$ | 0.6586 | 0.8396 | 0.7844 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 0.9655], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.48 + t^2.69 + 2*t^2.9 + t^3.31 + t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + 2*t^4.55 + 3*t^4.76 + 4*t^4.97 + 3*t^5.17 + 3*t^5.38 + 3*t^5.59 + 5*t^5.79 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 64251/97556, c: 20478/24389, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 28/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
57531 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ | 0.6648 | 0.8501 | 0.782 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 0.8966], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + t^2.48 + 2*t^2.69 + t^2.9 + t^3.1 + t^3.52 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + 2*t^4.55 + 4*t^4.76 + 4*t^4.97 + 4*t^5.17 + 4*t^5.38 + 3*t^5.59 + 4*t^5.79 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 129705/195112, c: 41467/48778, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 26/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
57533 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6741 | 0.868 | 0.7765 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 0.7586], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + 2*t^2.28 + t^2.48 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.93 + 2*t^4.14 + 3*t^4.34 + 4*t^4.55 + 4*t^4.76 + 4*t^4.97 + 4*t^5.17 + 4*t^5.38 + 4*t^5.59 + 4*t^5.79 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 131517/195112, c: 84681/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 22/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
57532 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6701 | 0.8598 | 0.7794 | [X:[], M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 0.8276], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.07 + t^2.28 + 2*t^2.48 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.72 + t^3.93 + 2*t^4.14 + 2*t^4.34 + 3*t^4.55 + 4*t^4.76 + 5*t^4.97 + 4*t^5.17 + 4*t^5.38 + 3*t^5.59 + 4*t^5.79 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 65373/97556, c: 83875/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 24/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
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 |
---|---|---|---|---|---|---|---|---|---|
48154 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7058 | 0.8884 | 0.7944 | [X:[], M:[0.6794, 1.1069, 0.9707, 0.7379, 0.8155], q:[0.7767, 0.5439], qb:[0.4854, 0.4078], phi:[0.4466]] | t^2.04 + t^2.21 + t^2.45 + t^2.68 + t^2.85 + t^2.91 + t^3.32 + t^3.79 + t^4.02 + t^4.08 + t^4.19 + 2*t^4.25 + 2*t^4.43 + t^4.48 + t^4.6 + t^4.66 + t^4.72 + 3*t^4.89 + t^4.95 + t^5.07 + 2*t^5.13 + t^5.3 + 3*t^5.36 + 2*t^5.53 + t^5.71 + t^5.77 + t^5.82 - t^6. - t^4.34/y - t^4.34*y | detail |