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 |
---|---|---|---|---|---|---|---|---|---|
2374 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ | 0.6941 | 0.8506 | 0.816 | [M:[1.0, 1.0093, 0.9814, 0.9628, 1.0186, 1.0372, 0.9628], q:[0.5372, 0.4628], qb:[0.5, 0.5186], phi:[0.4954]] | [M:[[0], [2], [-4], [-8], [4], [8], [-8]], q:[[8], [-8]], qb:[[0], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{3}$ | ${}$ | -2 | 2*t^2.888 + t^2.944 + t^3. + t^3.028 + t^3.056 + t^3.167 + t^4.263 + t^4.374 + t^4.43 + 2*t^4.486 + t^4.542 + 2*t^4.598 + t^4.653 + t^4.709 + 2*t^5.777 + t^5.833 + t^5.888 + 2*t^5.916 + t^5.944 + t^5.972 - 2*t^6. + t^6.028 + t^6.056 + t^6.084 + t^6.195 + t^6.335 + 2*t^7.151 + t^7.207 + 2*t^7.263 + 2*t^7.319 + 3*t^7.374 + 3*t^7.43 + 3*t^7.486 + 3*t^7.542 + 3*t^7.598 + 3*t^7.653 + t^7.709 + 2*t^7.765 + t^7.821 + t^7.877 + t^8.526 + t^8.637 + 2*t^8.665 + t^8.693 + 2*t^8.749 + 3*t^8.805 + 4*t^8.861 - 5*t^8.888 + 3*t^8.916 - 3*t^8.944 + 5*t^8.972 - t^4.486/y - t^7.374/y + t^7.598/y + t^8.777/y + (2*t^8.833)/y + (2*t^8.888)/y + (2*t^8.916)/y + (3*t^8.944)/y + t^8.972/y - t^4.486*y - t^7.374*y + t^7.598*y + t^8.777*y + 2*t^8.833*y + 2*t^8.888*y + 2*t^8.916*y + 3*t^8.944*y + t^8.972*y | (2*t^2.888)/g1^8 + t^2.944/g1^4 + t^3. + g1^2*t^3.028 + g1^4*t^3.056 + g1^12*t^3.167 + t^4.263/g1^17 + t^4.374/g1^9 + t^4.43/g1^5 + (2*t^4.486)/g1 + g1^3*t^4.542 + 2*g1^7*t^4.598 + g1^11*t^4.653 + g1^15*t^4.709 + (2*t^5.777)/g1^16 + t^5.833/g1^12 + t^5.888/g1^8 + (2*t^5.916)/g1^6 + t^5.944/g1^4 + t^5.972/g1^2 - 2*t^6. + g1^2*t^6.028 + g1^4*t^6.056 + g1^6*t^6.084 + g1^14*t^6.195 + g1^24*t^6.335 + (2*t^7.151)/g1^25 + t^7.207/g1^21 + (2*t^7.263)/g1^17 + (2*t^7.319)/g1^13 + (3*t^7.374)/g1^9 + (3*t^7.43)/g1^5 + (3*t^7.486)/g1 + 3*g1^3*t^7.542 + 3*g1^7*t^7.598 + 3*g1^11*t^7.653 + g1^15*t^7.709 + 2*g1^19*t^7.765 + g1^23*t^7.821 + g1^27*t^7.877 + t^8.526/g1^34 + t^8.637/g1^26 + (2*t^8.665)/g1^24 + t^8.693/g1^22 + (2*t^8.749)/g1^18 + (3*t^8.805)/g1^14 + (4*t^8.861)/g1^10 - (5*t^8.888)/g1^8 + (3*t^8.916)/g1^6 - (3*t^8.944)/g1^4 + (5*t^8.972)/g1^2 - t^4.486/(g1*y) - t^7.374/(g1^9*y) + (g1^7*t^7.598)/y + t^8.777/(g1^16*y) + (2*t^8.833)/(g1^12*y) + (2*t^8.888)/(g1^8*y) + (2*t^8.916)/(g1^6*y) + (3*t^8.944)/(g1^4*y) + t^8.972/(g1^2*y) - (t^4.486*y)/g1 - (t^7.374*y)/g1^9 + g1^7*t^7.598*y + (t^8.777*y)/g1^16 + (2*t^8.833*y)/g1^12 + (2*t^8.888*y)/g1^8 + (2*t^8.916*y)/g1^6 + (3*t^8.944*y)/g1^4 + (t^8.972*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 |
---|---|---|---|---|---|---|---|---|
4374 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.5893 | 0.7477 | 0.7882 | [M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667, 0.7333], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | 2*t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^4. + t^4.2 + 4*t^4.4 + 2*t^4.8 + 2*t^5. + 3*t^5.2 + 3*t^5.4 + 3*t^5.6 + 3*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 221/375, c: 2243/3000, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, M7: 11/15, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
1323 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.6917 | 0.8473 | 0.8164 | [M:[1.0, 1.0032, 0.9935, 0.987, 1.0065, 1.013], q:[0.513, 0.487], qb:[0.5, 0.5065], phi:[0.4984]] | t^2.961 + t^2.981 + t^3. + t^3.01 + t^3.019 + t^3.039 + t^3.058 + t^4.417 + t^4.456 + t^4.476 + 2*t^4.495 + t^4.515 + 2*t^4.534 + t^4.554 + t^4.573 + t^5.971 + t^5.99 - t^6. - t^4.495/y - t^4.495*y | detail |