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 |
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2590 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6678 | 0.8205 | 0.8138 | [X:[1.3333], M:[1.1111, 0.6667, 0.7937, 0.9841, 1.0159, 0.8889, 0.9841], q:[0.5556, 0.3333], qb:[0.6508, 0.6825], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-1], [1], [0], [-1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 3029/4536, c: 1861/2268, X1: 4/3, M1: 10/9, M2: 2/3, M3: 50/63, M4: 62/63, M5: 64/63, M6: 8/9, M7: 62/63, q1: 5/9, q2: 1/3, qb1: 41/63, qb2: 43/63, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -2 | t^2.381 + 2*t^2.667 + 2*t^2.952 + t^3.333 + t^3.714 + 2*t^4. + t^4.286 + t^4.381 + t^4.667 + t^4.762 + 2*t^5.048 + t^5.238 + 5*t^5.333 + t^5.429 + 3*t^5.619 + 2*t^5.905 - 2*t^6. + 2*t^6.381 + 4*t^6.667 + t^6.762 + 3*t^6.952 + t^7.048 + t^7.143 + t^7.238 + t^7.333 + 2*t^7.429 + t^7.619 + 5*t^7.714 + t^7.81 + 2*t^7.905 + 7*t^8. + 3*t^8.095 + 2*t^8.19 + 5*t^8.286 - 2*t^8.381 + 3*t^8.571 - 5*t^8.667 + t^8.762 + 2*t^8.857 - 6*t^8.952 - t^4.333/y - t^6.714/y - t^7./y - t^7.286/y + t^7.381/y + t^7.667/y + t^7.952/y + (2*t^8.048)/y + (3*t^8.333)/y + (4*t^8.619)/y + t^8.714/y + t^8.905/y - t^4.333*y - t^6.714*y - t^7.*y - t^7.286*y + t^7.381*y + t^7.667*y + t^7.952*y + 2*t^8.048*y + 3*t^8.333*y + 4*t^8.619*y + t^8.714*y + t^8.905*y | g1*t^2.381 + 2*t^2.667 + (2*t^2.952)/g1 + t^3.333 + g1*t^3.714 + 2*t^4. + t^4.286/g1 + g1*t^4.381 + t^4.667 + g1^2*t^4.762 + 2*g1*t^5.048 + t^5.238/g1^2 + 5*t^5.333 + g1^2*t^5.429 + (3*t^5.619)/g1 + (2*t^5.905)/g1^2 - 2*t^6. + 2*g1*t^6.381 + 4*t^6.667 + g1^2*t^6.762 + (3*t^6.952)/g1 + g1*t^7.048 + g1^3*t^7.143 + t^7.238/g1^2 + t^7.333 + 2*g1^2*t^7.429 + t^7.619/g1 + 5*g1*t^7.714 + g1^3*t^7.81 + (2*t^7.905)/g1^2 + 7*t^8. + 3*g1^2*t^8.095 + (2*t^8.19)/g1^3 + (5*t^8.286)/g1 - 2*g1*t^8.381 + (3*t^8.571)/g1^2 - 5*t^8.667 + g1^2*t^8.762 + (2*t^8.857)/g1^3 - (6*t^8.952)/g1 - t^4.333/y - (g1*t^6.714)/y - t^7./y - t^7.286/(g1*y) + (g1*t^7.381)/y + t^7.667/y + t^7.952/(g1*y) + (2*g1*t^8.048)/y + (3*t^8.333)/y + (4*t^8.619)/(g1*y) + (g1*t^8.714)/y + t^8.905/(g1^2*y) - t^4.333*y - g1*t^6.714*y - t^7.*y - (t^7.286*y)/g1 + g1*t^7.381*y + t^7.667*y + (t^7.952*y)/g1 + 2*g1*t^8.048*y + 3*t^8.333*y + (4*t^8.619*y)/g1 + g1*t^8.714*y + (t^8.905*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 |
---|---|---|---|---|---|---|---|---|
4675 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}^{2}$ | 0.6119 | 0.7647 | 0.8002 | [X:[1.3333], M:[1.1111, 0.6667, 1.0, 0.7778, 1.2222, 0.8889, 0.7778], q:[0.5556, 0.3333], qb:[0.4444, 0.8889], phi:[0.4444]] | 2*t^2.333 + 2*t^2.667 + t^3. + t^3.333 + t^3.667 + 3*t^4. + t^4.333 + 3*t^4.667 + 4*t^5. + 5*t^5.333 + 2*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 793/1296, c: 991/1296, X1: 4/3, M1: 10/9, M2: 2/3, M3: 1, M4: 7/9, M5: 11/9, M6: 8/9, M7: 7/9, q1: 5/9, q2: 1/3, qb1: 4/9, qb2: 8/9, phi1: 4/9} |
4676 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}^{2}$ | 0.6674 | 0.8202 | 0.8137 | [X:[1.3333], M:[1.1111, 0.6667, 0.7778, 1.0, 1.0, 0.8889, 1.0], q:[0.5556, 0.3333], qb:[0.6667, 0.6667], phi:[0.4444]] | t^2.333 + 2*t^2.667 + 2*t^3. + t^3.333 + t^3.667 + 2*t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5. + 7*t^5.333 + 3*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 865/1296, c: 1063/1296, X1: 4/3, M1: 10/9, M2: 2/3, M3: 7/9, M4: 1, M5: 1, M6: 8/9, M7: 1, q1: 5/9, q2: 1/3, qb1: 2/3, qb2: 2/3, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
1478 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ | 0.668 | 0.822 | 0.8126 | [X:[1.3333], M:[1.1111, 0.6667, 0.7581, 1.0197, 0.9803, 0.8889], q:[0.5556, 0.3333], qb:[0.6864, 0.647], phi:[0.4444]] | t^2.274 + 2*t^2.667 + t^2.941 + t^3.059 + t^3.333 + t^3.608 + 2*t^4. + t^4.274 + t^4.392 + t^4.548 + t^4.667 + 2*t^4.941 + 2*t^5.215 + 4*t^5.333 + t^5.452 + 2*t^5.608 + t^5.726 + t^5.882 - t^6. - t^4.333/y - t^4.333*y | detail |