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 |
---|---|---|---|---|---|---|---|---|---|
4020 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7019 | 0.8894 | 0.7892 | [M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.7143, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 963/1372, c: 4881/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 5/7, M7: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{6}q_{1}q_{2}$ | ${}M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | 1 | 2*t^2.143 + 4*t^2.571 + t^3. + t^3.429 + 6*t^4.286 + 9*t^4.714 + 12*t^5.143 + 4*t^5.571 + t^6. + 6*t^6.429 + 19*t^6.857 + 24*t^7.286 + 23*t^7.714 + 3*t^8.571 - t^4.286/y - (2*t^6.429)/y - (3*t^6.857)/y + t^7.286/y + (11*t^7.714)/y + (10*t^8.143)/y + (3*t^8.571)/y - t^4.286*y - 2*t^6.429*y - 3*t^6.857*y + t^7.286*y + 11*t^7.714*y + 10*t^8.143*y + 3*t^8.571*y | 2*t^2.143 + 4*t^2.571 + t^3. + t^3.429 + 6*t^4.286 + 9*t^4.714 + 12*t^5.143 + 4*t^5.571 + t^6. + 6*t^6.429 + 19*t^6.857 + 24*t^7.286 + 23*t^7.714 + 3*t^8.571 - t^4.286/y - (2*t^6.429)/y - (3*t^6.857)/y + t^7.286/y + (11*t^7.714)/y + (10*t^8.143)/y + (3*t^8.571)/y - t^4.286*y - 2*t^6.429*y - 3*t^6.857*y + t^7.286*y + 11*t^7.714*y + 10*t^8.143*y + 3*t^8.571*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 |
---|---|---|---|---|---|---|---|---|
5562 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}q_{2}$ | 0.7145 | 0.9109 | 0.7844 | [M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.7143, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | 2*t^2.143 + 5*t^2.571 + t^3. + 6*t^4.286 + 11*t^4.714 + 17*t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3921/5488, c: 4999/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 5/7, M7: 6/7, M8: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
1629 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7193 | 0.9125 | 0.7883 | [M:[1.0, 1.117, 0.9737, 0.6754, 0.883, 0.7661, 0.7017], q:[0.7792, 0.4284], qb:[0.5716, 0.4547], phi:[0.4415]] | t^2.026 + t^2.105 + t^2.298 + 2*t^2.649 + t^2.921 + t^3. + t^3.623 + 3*t^4.053 + t^4.131 + t^4.21 + 2*t^4.325 + 2*t^4.403 + t^4.597 + 2*t^4.675 + 3*t^4.754 + 3*t^4.947 + 2*t^5.026 + t^5.105 + t^5.219 + 4*t^5.298 + t^5.57 + 2*t^5.649 + t^5.728 + t^5.842 + t^5.921 - 2*t^6. - t^4.325/y - t^4.325*y | detail |