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 |
---|---|---|---|---|---|---|---|---|---|
4578 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}X_{1}$ | 0.5917 | 0.7398 | 0.7998 | [X:[1.4815], M:[0.8148, 0.963, 1.037, 0.7407, 1.2593, 0.5185, 1.037], q:[0.7037, 0.4815], qb:[0.2593, 0.7778], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1294/2187, c: 1618/2187, X1: 40/27, M1: 22/27, M2: 26/27, M3: 28/27, M4: 20/27, M5: 34/27, M6: 14/27, M7: 28/27, 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 |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | 0 | t^2.222 + t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 3*t^4.889 + 2*t^5.111 + 2*t^5.333 + 4*t^5.556 + 3*t^5.778 + 3*t^6.222 + 2*t^6.444 + t^6.667 + 3*t^6.889 + 3*t^7.111 + 4*t^7.333 + 3*t^7.556 + 3*t^7.778 + 7*t^8. + 2*t^8.222 + 3*t^8.444 + 5*t^8.667 - t^8.889 - t^4.333/y - t^6.778/y - t^7./y + t^7.222/y - t^7.444/y + (2*t^7.667)/y + (2*t^7.889)/y + (2*t^8.111)/y + (3*t^8.333)/y + (3*t^8.556)/y + (3*t^8.778)/y - t^4.333*y - t^6.778*y - t^7.*y + t^7.222*y - t^7.444*y + 2*t^7.667*y + 2*t^7.889*y + 2*t^8.111*y + 3*t^8.333*y + 3*t^8.556*y + 3*t^8.778*y | t^2.222 + t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 3*t^4.889 + 2*t^5.111 + 2*t^5.333 + 4*t^5.556 + 3*t^5.778 + 3*t^6.222 + 2*t^6.444 + t^6.667 + 3*t^6.889 + 3*t^7.111 + 4*t^7.333 + 3*t^7.556 + 3*t^7.778 + 7*t^8. + 2*t^8.222 + 3*t^8.444 + 5*t^8.667 - t^8.889 - t^4.333/y - t^6.778/y - t^7./y + t^7.222/y - t^7.444/y + (2*t^7.667)/y + (2*t^7.889)/y + (2*t^8.111)/y + (3*t^8.333)/y + (3*t^8.556)/y + (3*t^8.778)/y - t^4.333*y - t^6.778*y - t^7.*y + t^7.222*y - t^7.444*y + 2*t^7.667*y + 2*t^7.889*y + 2*t^8.111*y + 3*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 |
---|---|---|---|---|---|---|---|---|
6103 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{2}M_{8}$ | 0.5882 | 0.7341 | 0.8013 | [X:[1.4815], M:[0.8148, 0.963, 1.037, 0.7407, 1.2593, 0.5185, 1.037, 1.037], q:[0.7037, 0.4815], qb:[0.2593, 0.7778], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.667 + 3*t^3.111 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 3*t^4.889 + t^5.111 + 2*t^5.333 + 4*t^5.556 + 3*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 2287/3888, c: 1427/1944, X1: 40/27, M1: 22/27, M2: 26/27, M3: 28/27, M4: 20/27, M5: 34/27, M6: 14/27, M7: 28/27, M8: 28/27, q1: 19/27, q2: 13/27, qb1: 7/27, qb2: 7/9, phi1: 4/9} |
6104 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6073 | 0.767 | 0.7918 | [X:[1.4815], M:[0.8148, 0.963, 1.037, 0.7407, 1.2593, 0.5185, 1.037, 0.8148], q:[0.7037, 0.4815], qb:[0.2593, 0.7778], phi:[0.4444]] | t^2.222 + 2*t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.778 + 2*t^4.222 + 2*t^4.444 + t^4.667 + 5*t^4.889 + 3*t^5.111 + 3*t^5.333 + 6*t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 787/1296, c: 497/648, X1: 40/27, M1: 22/27, M2: 26/27, M3: 28/27, M4: 20/27, M5: 34/27, M6: 14/27, M7: 28/27, 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 |
---|---|---|---|---|---|---|---|---|---|
2518 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6668 | 0.8443 | 0.7898 | [M:[1.0464, 0.8776, 1.1224, 0.8017, 1.1983, 0.7258, 0.7932], q:[0.5147, 0.4388], qb:[0.3629, 0.7595], phi:[0.481]] | t^2.177 + t^2.38 + t^2.405 + t^2.633 + t^2.886 + t^3.139 + t^3.367 + t^3.595 + t^3.848 + 2*t^4.076 + t^4.304 + t^4.355 + t^4.532 + t^4.557 + t^4.582 + t^4.759 + t^4.785 + 2*t^4.81 + t^5.013 + t^5.038 + t^5.063 + 2*t^5.266 + t^5.291 + t^5.317 + 2*t^5.519 + t^5.544 + t^5.747 + 2*t^5.772 + t^5.975 - t^6. - t^4.443/y - t^4.443*y | detail |