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 |
---|---|---|---|---|---|---|---|---|---|
51977 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.6758 | 0.8309 | 0.8133 | [M:[1.037, 0.963, 1.1111, 0.8889, 0.7407], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23647/34992, c: 14537/17496, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.222 + 2*t^2.667 + t^2.889 + t^3.111 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + 2*t^4.889 + t^5.111 + 4*t^5.333 + t^5.556 + 2*t^5.778 - t^6. + 2*t^6.222 + 3*t^6.444 + 5*t^6.667 + 5*t^6.889 + 4*t^7.111 + 3*t^7.333 + 4*t^7.556 + 2*t^7.778 + 8*t^8. + 2*t^8.222 + 4*t^8.444 + 3*t^8.889 - t^4.333/y - t^6.556/y - t^7./y + t^7.667/y + (2*t^7.889)/y + (2*t^8.111)/y + (2*t^8.333)/y + (2*t^8.556)/y + (2*t^8.778)/y - t^4.333*y - t^6.556*y - t^7.*y + t^7.667*y + 2*t^7.889*y + 2*t^8.111*y + 2*t^8.333*y + 2*t^8.556*y + 2*t^8.778*y | t^2.222 + 2*t^2.667 + t^2.889 + t^3.111 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + 2*t^4.889 + t^5.111 + 4*t^5.333 + t^5.556 + 2*t^5.778 - t^6. + 2*t^6.222 + 3*t^6.444 + 5*t^6.667 + 5*t^6.889 + 4*t^7.111 + 3*t^7.333 + 4*t^7.556 + 2*t^7.778 + 8*t^8. + 2*t^8.222 + 4*t^8.444 + 3*t^8.889 - t^4.333/y - t^6.556/y - t^7./y + t^7.667/y + (2*t^7.889)/y + (2*t^8.111)/y + (2*t^8.333)/y + (2*t^8.556)/y + (2*t^8.778)/y - t^4.333*y - t^6.556*y - t^7.*y + t^7.667*y + 2*t^7.889*y + 2*t^8.111*y + 2*t^8.333*y + 2*t^8.556*y + 2*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 |
---|---|---|---|---|---|---|---|---|
56378 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{6}$ | 0.6792 | 0.8366 | 0.8119 | [M:[1.037, 0.963, 1.1111, 0.8889, 0.7407, 0.963], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] | t^2.222 + 2*t^2.667 + 2*t^2.889 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + 2*t^4.889 + 2*t^5.111 + 3*t^5.333 + 3*t^5.556 + 2*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 2971/4374, c: 7319/8748, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, M6: 26/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9} |
56376 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{5}M_{6}$ | 0.6564 | 0.7953 | 0.8254 | [M:[1.037, 0.963, 1.1111, 0.8889, 0.7407, 1.2593], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] | 2*t^2.667 + t^2.889 + t^3.111 + t^3.556 + 2*t^3.778 + 2*t^4. + 2*t^4.222 + t^4.444 + t^4.667 + 3*t^5.333 + t^5.556 + t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 319/486, c: 773/972, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, M6: 34/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9} |
56380 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6914 | 0.858 | 0.8058 | [M:[1.037, 0.963, 1.1111, 0.8889, 0.7407, 0.8148], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] | t^2.222 + t^2.444 + 2*t^2.667 + t^2.889 + t^3.111 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + 2*t^4.667 + 3*t^4.889 + 3*t^5.111 + 5*t^5.333 + 2*t^5.556 + t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 56/81, c: 139/162, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, M6: 22/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9} |
56382 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6952 | 0.8665 | 0.8023 | [M:[1.037, 0.963, 1.1111, 0.8889, 0.7407, 0.7407], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] | 2*t^2.222 + 2*t^2.667 + t^2.889 + t^3.111 + t^3.556 + 2*t^4. + 2*t^4.222 + 4*t^4.444 + t^4.667 + 4*t^4.889 + 2*t^5.111 + 5*t^5.333 + t^5.556 + 3*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 12163/17496, c: 1895/2187, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, M6: 20/27, q1: 5/9, q2: 11/27, qb1: 13/27, 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 |
---|---|---|---|---|---|---|---|---|---|
48278 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6779 | 0.8345 | 0.8124 | [M:[0.9891, 0.93, 1.1291, 0.8709, 0.7527], q:[0.605, 0.4059], qb:[0.465, 0.7823], phi:[0.4355]] | t^2.258 + 2*t^2.613 + t^2.79 + t^2.967 + t^3.565 + t^3.742 + t^3.919 + t^4.096 + t^4.162 + t^4.339 + 2*t^4.516 + 2*t^4.871 + t^4.936 + t^5.048 + 4*t^5.226 + t^5.403 + 2*t^5.58 + t^5.757 + t^5.935 - 2*t^6. - t^4.306/y - t^4.306*y | detail |