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 |
---|---|---|---|---|---|---|---|---|---|
56526 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{6}$ | 0.6136 | 0.7788 | 0.7879 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 1.1429, 1.2857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 53877/87808, c: 68381/87808, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 8/7, M6: 9/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}M_{6}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.14 + t^2.79 + t^3. + t^3.21 + 3*t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + t^4.71 + 2*t^4.93 + 2*t^5.14 + t^5.36 + 6*t^5.57 + 2*t^5.79 + 3*t^6.21 + 7*t^6.43 + 2*t^6.64 + 6*t^6.86 + 5*t^7.07 + 4*t^7.29 + 3*t^7.5 + 10*t^7.71 + 2*t^7.93 + 4*t^8.36 + 9*t^8.57 - t^4.5/y - t^6.64/y + t^7.07/y + t^7.29/y + t^7.93/y + (2*t^8.14)/y + (3*t^8.36)/y + (6*t^8.57)/y + (2*t^8.79)/y - t^4.5*y - t^6.64*y + t^7.07*y + t^7.29*y + t^7.93*y + 2*t^8.14*y + 3*t^8.36*y + 6*t^8.57*y + 2*t^8.79*y | 2*t^2.14 + t^2.79 + t^3. + t^3.21 + 3*t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + t^4.71 + 2*t^4.93 + 2*t^5.14 + t^5.36 + 6*t^5.57 + 2*t^5.79 + 3*t^6.21 + 7*t^6.43 + 2*t^6.64 + 6*t^6.86 + 5*t^7.07 + 4*t^7.29 + 3*t^7.5 + 10*t^7.71 + 2*t^7.93 + 4*t^8.36 + 9*t^8.57 - t^4.5/y - t^6.64/y + t^7.07/y + t^7.29/y + t^7.93/y + (2*t^8.14)/y + (3*t^8.36)/y + (6*t^8.57)/y + (2*t^8.79)/y - t^4.5*y - t^6.64*y + t^7.07*y + t^7.29*y + t^7.93*y + 2*t^8.14*y + 3*t^8.36*y + 6*t^8.57*y + 2*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 |
---|---|---|---|---|---|---|---|---|
58786 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6309 | 0.8095 | 0.7794 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 1.1429, 1.2857, 0.7857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 2*t^2.14 + t^2.36 + t^2.79 + t^3. + t^3.21 + 3*t^3.43 + t^3.86 + t^4.07 + 4*t^4.29 + 2*t^4.5 + 2*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 7*t^5.57 + 3*t^5.79 - t^4.5/y - t^4.5*y | detail | {a: 3957/6272, c: 5077/6272, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 8/7, M6: 9/7, M7: 11/14, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
54108 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.6338 | 0.8168 | 0.7759 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 1.1429], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.14 + t^2.79 + t^3. + t^3.21 + 3*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + t^4.71 + 3*t^4.93 + 3*t^5.14 + 2*t^5.36 + 9*t^5.57 + 3*t^5.79 - 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 55653/87808, c: 71725/87808, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 8/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |