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 |
---|---|---|---|---|---|---|---|---|---|
47147 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6273 | 0.7731 | 0.8114 | [M:[0.8889, 0.7778, 1.2222, 1.0], q:[0.6667, 0.4444], qb:[0.7778, 0.3333], phi:[0.4444]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 271/432, c: 167/216, M1: 8/9, M2: 7/9, M3: 11/9, M4: 1, q1: 2/3, q2: 4/9, qb1: 7/9, qb2: 1/3, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | 3 | t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + 2*t^3.667 + t^4. + 2*t^4.333 + 2*t^4.667 + t^5. + 4*t^5.333 + 3*t^5.667 + 3*t^6. + 3*t^6.333 + 4*t^6.667 + 4*t^7. + 4*t^7.333 + 5*t^7.667 + 8*t^8. + 2*t^8.333 + 4*t^8.667 - t^4.333/y - (2*t^7.)/y + (2*t^7.667)/y + (2*t^8.)/y + (2*t^8.333)/y + (4*t^8.667)/y - t^4.333*y - 2*t^7.*y + 2*t^7.667*y + 2*t^8.*y + 2*t^8.333*y + 4*t^8.667*y | t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + 2*t^3.667 + t^4. + 2*t^4.333 + 2*t^4.667 + t^5. + 4*t^5.333 + 3*t^5.667 + 3*t^6. + 3*t^6.333 + 4*t^6.667 + 4*t^7. + 4*t^7.333 + 5*t^7.667 + 8*t^8. + 2*t^8.333 + 4*t^8.667 - t^4.333/y - (2*t^7.)/y + (2*t^7.667)/y + (2*t^8.)/y + (2*t^8.333)/y + (4*t^8.667)/y - t^4.333*y - 2*t^7.*y + 2*t^7.667*y + 2*t^8.*y + 2*t^8.333*y + 4*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 |
---|---|---|---|---|---|---|---|---|
55474 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.6451 | 0.8048 | 0.8015 | [M:[0.8889, 0.7778, 1.2222, 1.0, 0.7778], q:[0.6667, 0.4444], qb:[0.7778, 0.3333], phi:[0.4444]] | 2*t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + t^3.667 + t^4. + 2*t^4.333 + 4*t^4.667 + 3*t^5. + 5*t^5.333 + 5*t^5.667 + 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 209/324, c: 1043/1296, M1: 8/9, M2: 7/9, M3: 11/9, M4: 1, M5: 7/9, q1: 2/3, q2: 4/9, qb1: 7/9, qb2: 1/3, 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 |
---|---|---|---|---|---|---|---|---|---|
46720 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.6954 | 0.8497 | 0.8184 | [M:[0.9793, 0.9586, 1.0414, 1.0], q:[0.5311, 0.4896], qb:[0.5518, 0.4689], phi:[0.4896]] | t^2.876 + 2*t^2.938 + t^3. + t^3.062 + t^3.124 + t^3.248 + t^4.283 + t^4.345 + t^4.407 + t^4.469 + 2*t^4.531 + t^4.593 + t^4.655 + t^4.717 + t^4.78 + 3*t^5.876 + t^5.938 - t^4.469/y - t^4.469*y | detail |