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 |
---|---|---|---|---|---|---|---|---|---|
1675 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.5973 | 0.741 | 0.806 | [M:[0.9, 1.2, 0.7, 0.8, 1.1, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 19113/32000, c: 23713/32000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 11/10, M6: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1 | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.5 + 4*t^4.8 + t^5.1 + 3*t^5.4 + 3*t^5.7 + t^6. + 4*t^6.3 + 5*t^6.6 + 3*t^6.9 + 6*t^7.2 + 2*t^7.5 + 4*t^7.8 + 4*t^8.1 + 3*t^8.4 + 3*t^8.7 - t^4.2/y - t^6.3/y - t^6.6/y + (2*t^7.5)/y + (2*t^7.8)/y + (2*t^8.1)/y + (3*t^8.4)/y + (4*t^8.7)/y - t^4.2*y - t^6.3*y - t^6.6*y + 2*t^7.5*y + 2*t^7.8*y + 2*t^8.1*y + 3*t^8.4*y + 4*t^8.7*y | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.5 + 4*t^4.8 + t^5.1 + 3*t^5.4 + 3*t^5.7 + t^6. + 4*t^6.3 + 5*t^6.6 + 3*t^6.9 + 6*t^7.2 + 2*t^7.5 + 4*t^7.8 + 4*t^8.1 + 3*t^8.4 + 3*t^8.7 - t^4.2/y - t^6.3/y - t^6.6/y + (2*t^7.5)/y + (2*t^7.8)/y + (2*t^8.1)/y + (3*t^8.4)/y + (4*t^8.7)/y - t^4.2*y - t^6.3*y - t^6.6*y + 2*t^7.5*y + 2*t^7.8*y + 2*t^8.1*y + 3*t^8.4*y + 4*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
4066 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{7}$ | 0.5768 | 0.7018 | 0.8219 | [M:[0.9, 1.2, 0.7, 0.8, 1.1, 1.0, 1.3], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 2307/4000, c: 2807/4000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 11/10, M6: 1, M7: 13/10, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
1078 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6303 | 0.781 | 0.8071 | [M:[0.7897, 1.2, 0.8103, 0.8, 1.2103, 0.7793], q:[0.8, 0.4103], qb:[0.8, 0.3897], phi:[0.4]] | t^2.338 + 2*t^2.4 + t^2.431 + t^3.538 + t^3.569 + t^3.6 + 2*t^3.631 + t^4.676 + 2*t^4.738 + t^4.769 + 4*t^4.8 + 2*t^4.831 + t^4.862 + t^5.876 + t^5.907 + 2*t^5.938 + 3*t^5.969 - t^4.2/y - t^4.2*y | detail |