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 |
---|---|---|---|---|---|---|---|---|---|
4950 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.5851 | 0.7286 | 0.803 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10237/17496, c: 3187/4374, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0 | t^2.222 + t^2.444 + 2*t^2.889 + t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 2*t^4.889 + 2*t^5.111 + t^5.333 + 3*t^5.556 + 4*t^5.778 + 2*t^6.222 + 3*t^6.444 + 2*t^6.667 + t^6.889 + 4*t^7.111 + 4*t^7.333 + 5*t^7.778 + 5*t^8. + 3*t^8.444 + 6*t^8.667 - 2*t^8.889 - t^4.333/y - t^6.778/y + t^7.667/y + t^7.889/y + (2*t^8.111)/y + (3*t^8.333)/y + (2*t^8.556)/y + (3*t^8.778)/y - t^4.333*y - t^6.778*y + t^7.667*y + t^7.889*y + 2*t^8.111*y + 3*t^8.333*y + 2*t^8.556*y + 3*t^8.778*y | t^2.222 + t^2.444 + 2*t^2.889 + t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 2*t^4.889 + 2*t^5.111 + t^5.333 + 3*t^5.556 + 4*t^5.778 + 2*t^6.222 + 3*t^6.444 + 2*t^6.667 + t^6.889 + 4*t^7.111 + 4*t^7.333 + 5*t^7.778 + 5*t^8. + 3*t^8.444 + 6*t^8.667 - 2*t^8.889 - t^4.333/y - t^6.778/y + t^7.667/y + t^7.889/y + (2*t^8.111)/y + (3*t^8.333)/y + (2*t^8.556)/y + (3*t^8.778)/y - t^4.333*y - t^6.778*y + t^7.667*y + t^7.889*y + 2*t^8.111*y + 3*t^8.333*y + 2*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 |
---|---|---|---|---|---|---|---|---|
6536 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{8}$ | 0.5886 | 0.7344 | 0.8014 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148, 0.963], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | t^2.222 + t^2.444 + 3*t^2.889 + t^3.333 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 2*t^4.889 + 3*t^5.111 + t^5.333 + 2*t^5.556 + 7*t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 6865/11664, c: 4283/5832, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, M8: 26/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
6537 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6007 | 0.7558 | 0.7948 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148, 0.8148], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | t^2.222 + 2*t^2.444 + 2*t^2.889 + t^3.111 + t^3.333 + t^3.778 + 2*t^4.222 + 2*t^4.444 + t^4.667 + 4*t^4.889 + 2*t^5.111 + 3*t^5.333 + 4*t^5.556 + 4*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 21019/34992, c: 13223/17496, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, M8: 22/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, 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 |
---|---|---|---|---|---|---|---|---|---|
3083 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.672 | 0.8561 | 0.785 | [M:[0.7561, 1.0273, 1.1894, 1.1348, 0.8106, 0.8652, 0.703], q:[0.4871, 0.7568], qb:[0.378, 0.4326], phi:[0.4864]] | t^2.109 + t^2.268 + t^2.432 + t^2.595 + t^2.759 + t^3.082 + t^3.405 + t^3.568 + t^3.727 + 2*t^4.055 + 2*t^4.218 + t^4.377 + t^4.382 + t^4.536 + t^4.541 + t^4.7 + t^4.705 + 2*t^4.864 + t^4.868 + 2*t^5.027 + 3*t^5.191 + t^5.35 + t^5.355 + 2*t^5.514 + t^5.518 + 2*t^5.677 + t^5.836 + t^5.841 + t^5.995 - t^6. - t^4.459/y - t^4.459*y | detail |