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 |
---|---|---|---|---|---|---|---|---|---|
4699 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ | 0.6111 | 0.7754 | 0.7881 | [M:[0.8148, 0.963, 1.037, 0.7407, 1.2593, 1.037, 0.7407], q:[0.7037, 0.4815], qb:[0.2593, 0.7778], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 21383/34992, c: 13567/17496, M1: 22/27, M2: 26/27, M3: 28/27, M4: 20/27, M5: 34/27, M6: 28/27, M7: 20/27, q1: 19/27, q2: 13/27, qb1: 7/27, qb2: 7/9, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | 2*t^2.222 + t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.556 + 2*t^4.222 + 4*t^4.444 + t^4.667 + 4*t^4.889 + 3*t^5.111 + 4*t^5.333 + 4*t^5.556 + 4*t^5.778 - t^6. + 2*t^6.222 + 3*t^6.444 + 4*t^6.667 + 2*t^6.889 + 7*t^7.111 + 6*t^7.333 + 6*t^7.556 + 7*t^7.778 + 9*t^8. - t^8.222 + 5*t^8.444 + 5*t^8.667 + t^8.889 - t^4.333/y - t^6.556/y - t^6.778/y - t^7./y + t^7.222/y + (3*t^7.667)/y + (3*t^7.889)/y + (4*t^8.111)/y + (5*t^8.333)/y + (3*t^8.556)/y + (3*t^8.778)/y - t^4.333*y - t^6.556*y - t^6.778*y - t^7.*y + t^7.222*y + 3*t^7.667*y + 3*t^7.889*y + 4*t^8.111*y + 5*t^8.333*y + 3*t^8.556*y + 3*t^8.778*y | 2*t^2.222 + t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.556 + 2*t^4.222 + 4*t^4.444 + t^4.667 + 4*t^4.889 + 3*t^5.111 + 4*t^5.333 + 4*t^5.556 + 4*t^5.778 - t^6. + 2*t^6.222 + 3*t^6.444 + 4*t^6.667 + 2*t^6.889 + 7*t^7.111 + 6*t^7.333 + 6*t^7.556 + 7*t^7.778 + 9*t^8. - t^8.222 + 5*t^8.444 + 5*t^8.667 + t^8.889 - t^4.333/y - t^6.556/y - t^6.778/y - t^7./y + t^7.222/y + (3*t^7.667)/y + (3*t^7.889)/y + (4*t^8.111)/y + (5*t^8.333)/y + (3*t^8.556)/y + (3*t^8.778)/y - t^4.333*y - t^6.556*y - t^6.778*y - t^7.*y + t^7.222*y + 3*t^7.667*y + 3*t^7.889*y + 4*t^8.111*y + 5*t^8.333*y + 3*t^8.556*y + 3*t^8.778*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 |
---|---|---|---|---|---|---|---|---|
6263 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{8}$ | 0.6076 | 0.7697 | 0.7895 | [M:[0.8148, 0.963, 1.037, 0.7407, 1.2593, 1.037, 0.7407, 1.037], q:[0.7037, 0.4815], qb:[0.2593, 0.7778], phi:[0.4444]] | 2*t^2.222 + t^2.444 + t^2.667 + 3*t^3.111 + t^3.556 + 2*t^4.222 + 4*t^4.444 + t^4.667 + 4*t^4.889 + t^5.111 + 5*t^5.333 + 4*t^5.556 + 4*t^5.778 - 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 10631/17496, c: 6733/8748, M1: 22/27, M2: 26/27, M3: 28/27, M4: 20/27, M5: 34/27, M6: 28/27, M7: 20/27, M8: 28/27, q1: 19/27, q2: 13/27, qb1: 7/27, qb2: 7/9, phi1: 4/9} |
6265 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6267 | 0.8026 | 0.7808 | [M:[0.8148, 0.963, 1.037, 0.7407, 1.2593, 1.037, 0.7407, 0.8148], q:[0.7037, 0.4815], qb:[0.2593, 0.7778], phi:[0.4444]] | 2*t^2.222 + 2*t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + 2*t^4.222 + 4*t^4.444 + 3*t^4.667 + 6*t^4.889 + 4*t^5.111 + 5*t^5.333 + 6*t^5.556 + 2*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 2741/4374, c: 7021/8748, M1: 22/27, M2: 26/27, M3: 28/27, M4: 20/27, M5: 34/27, M6: 28/27, M7: 20/27, M8: 22/27, q1: 19/27, q2: 13/27, qb1: 7/27, 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 |
---|---|---|---|---|---|---|---|---|---|
2609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6633 | 0.8362 | 0.7932 | [M:[1.0521, 0.8756, 1.1244, 0.8032, 1.1968, 0.7873, 0.8032], q:[0.5102, 0.4378], qb:[0.3654, 0.759], phi:[0.4819]] | t^2.362 + 2*t^2.41 + t^2.627 + t^2.891 + t^3.156 + t^3.373 + t^3.808 + t^3.855 + 2*t^4.072 + t^4.29 + t^4.507 + t^4.724 + 2*t^4.771 + 3*t^4.819 + t^4.989 + 2*t^5.036 + 2*t^5.253 + 2*t^5.301 + 2*t^5.518 + t^5.566 + t^5.735 + 2*t^5.783 - 2*t^6. - t^4.446/y - t^4.446*y | detail |