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 |
---|---|---|---|---|---|---|---|---|---|
56181 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ | 0.6628 | 0.8364 | 0.7924 | [M:[0.8889, 1.2222, 0.7778, 0.7778, 0.7778, 1.0], q:[0.6667, 0.4444], qb:[0.3333, 0.7778], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 859/1296, c: 271/324, M1: 8/9, M2: 11/9, M3: 7/9, M4: 7/9, M5: 7/9, M6: 1, q1: 2/3, q2: 4/9, qb1: 1/3, qb2: 7/9, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 3*t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + t^4. + 2*t^4.333 + 7*t^4.667 + 5*t^5. + 6*t^5.333 + 7*t^5.667 + t^6. + t^6.333 + 6*t^6.667 + 11*t^7. + 9*t^7.333 + 14*t^7.667 + 16*t^8. + 3*t^8.667 - t^4.333/y - (2*t^6.667)/y - (2*t^7.)/y + (5*t^7.667)/y + (8*t^8.)/y + (4*t^8.333)/y + (8*t^8.667)/y - t^4.333*y - 2*t^6.667*y - 2*t^7.*y + 5*t^7.667*y + 8*t^8.*y + 4*t^8.333*y + 8*t^8.667*y | 3*t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + t^4. + 2*t^4.333 + 7*t^4.667 + 5*t^5. + 6*t^5.333 + 7*t^5.667 + t^6. + t^6.333 + 6*t^6.667 + 11*t^7. + 9*t^7.333 + 14*t^7.667 + 16*t^8. + 3*t^8.667 - t^4.333/y - (2*t^6.667)/y - (2*t^7.)/y + (5*t^7.667)/y + (8*t^8.)/y + (4*t^8.333)/y + (8*t^8.667)/y - t^4.333*y - 2*t^6.667*y - 2*t^7.*y + 5*t^7.667*y + 8*t^8.*y + 4*t^8.333*y + 8*t^8.667*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 |
---|---|---|---|---|---|---|---|---|
58877 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6728 | 0.8534 | 0.7884 | [M:[0.8889, 1.2222, 0.7778, 0.7778, 0.7778, 1.0, 0.8889], q:[0.6667, 0.4444], qb:[0.3333, 0.7778], phi:[0.4444]] | 3*t^2.333 + 3*t^2.667 + t^3. + t^3.333 + t^4. + 2*t^4.333 + 7*t^4.667 + 8*t^5. + 9*t^5.333 + 5*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 109/162, c: 553/648, M1: 8/9, M2: 11/9, M3: 7/9, M4: 7/9, M5: 7/9, M6: 1, M7: 8/9, q1: 2/3, q2: 4/9, qb1: 1/3, qb2: 7/9, 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 |
---|---|---|---|---|---|---|---|---|---|
50974 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6685 | 0.8428 | 0.7932 | [M:[0.8435, 1.2109, 0.7891, 0.7891, 0.7891, 0.898], q:[0.7347, 0.4218], qb:[0.3673, 0.7891], phi:[0.4218]] | 3*t^2.367 + 2*t^2.531 + t^2.694 + 2*t^3.469 + t^3.796 + 2*t^4.571 + 7*t^4.735 + 5*t^4.898 + 5*t^5.061 + 2*t^5.224 + t^5.388 + t^5.673 + 5*t^5.837 - t^4.265/y - t^4.265*y | detail | {a: 5503/8232, c: 3469/4116, M1: 124/147, M2: 178/147, M3: 116/147, M4: 116/147, M5: 116/147, M6: 44/49, q1: 36/49, q2: 62/147, qb1: 18/49, qb2: 116/147, phi1: 62/147} |