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 |
---|---|---|---|---|---|---|---|---|---|
4501 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}X_{1}$ | 0.6813 | 0.8341 | 0.8168 | [X:[1.3333], M:[0.8889, 0.8889, 1.1111, 0.6667, 1.0, 0.7778, 1.1111], q:[0.5, 0.6111], qb:[0.3889, 0.7222], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 883/1296, c: 1081/1296, X1: 4/3, M1: 8/9, M2: 8/9, M3: 10/9, M4: 2/3, M5: 1, M6: 7/9, M7: 10/9, q1: 1/2, q2: 11/18, qb1: 7/18, qb2: 13/18, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{7}\phi_{1}^{2}$ | 2 | t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + t^3.667 + 2*t^4. + 2*t^4.333 + 3*t^4.667 + 3*t^5. + 3*t^5.333 + 2*t^5.667 + 2*t^6. + 2*t^6.333 + 5*t^6.667 + 5*t^7. + 8*t^7.333 + 6*t^7.667 + 7*t^8. + 4*t^8.333 + 3*t^8.667 - t^4.333/y - t^6.667/y - t^7./y + t^7.667/y + (3*t^8.)/y + (2*t^8.333)/y + (4*t^8.667)/y - t^4.333*y - t^6.667*y - t^7.*y + t^7.667*y + 3*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 + t^3.667 + 2*t^4. + 2*t^4.333 + 3*t^4.667 + 3*t^5. + 3*t^5.333 + 2*t^5.667 + 2*t^6. + 2*t^6.333 + 5*t^6.667 + 5*t^7. + 8*t^7.333 + 6*t^7.667 + 7*t^8. + 4*t^8.333 + 3*t^8.667 - t^4.333/y - t^6.667/y - t^7./y + t^7.667/y + (3*t^8.)/y + (2*t^8.333)/y + (4*t^8.667)/y - t^4.333*y - t^6.667*y - t^7.*y + t^7.667*y + 3*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 |
---|---|---|---|---|---|---|---|---|
5995 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}M_{8}$ | 0.6636 | 0.8025 | 0.8269 | [X:[1.3333], M:[0.8889, 0.8889, 1.1111, 0.6667, 1.0, 0.7778, 1.1111, 1.2222], q:[0.5, 0.6111], qb:[0.3889, 0.7222], phi:[0.4444]] | 2*t^2.667 + t^3. + 2*t^3.333 + 2*t^3.667 + 2*t^4. + 2*t^4.333 + 2*t^4.667 + t^5. + 2*t^5.333 + t^6. - t^4.333/y - t^4.333*y | detail | {a: 215/324, c: 65/81, X1: 4/3, M1: 8/9, M2: 8/9, M3: 10/9, M4: 2/3, M5: 1, M6: 7/9, M7: 10/9, M8: 11/9, q1: 1/2, q2: 11/18, qb1: 7/18, qb2: 13/18, phi1: 4/9} |
5999 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6991 | 0.8657 | 0.8075 | [X:[1.3333], M:[0.8889, 0.8889, 1.1111, 0.6667, 1.0, 0.7778, 1.1111, 0.7778], q:[0.5, 0.6111], qb:[0.3889, 0.7222], phi:[0.4444]] | 2*t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + 2*t^4. + 2*t^4.333 + 5*t^4.667 + 5*t^5. + 4*t^5.333 + 4*t^5.667 + t^6. - t^4.333/y - t^4.333*y | detail | {a: 151/216, c: 187/216, X1: 4/3, M1: 8/9, M2: 8/9, M3: 10/9, M4: 2/3, M5: 1, M6: 7/9, M7: 10/9, M8: 7/9, q1: 1/2, q2: 11/18, qb1: 7/18, qb2: 13/18, 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 |
---|---|---|---|---|---|---|---|---|---|
2461 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.7343 | 0.9166 | 0.8011 | [M:[0.7502, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]] | t^2.251 + t^2.333 + t^2.416 + t^2.667 + 2*t^2.917 + t^3. + t^3.667 + t^4.251 + t^4.333 + t^4.416 + t^4.501 + t^4.584 + 2*t^4.667 + t^4.749 + t^4.832 + t^4.834 + 2*t^4.917 + 3*t^5. + 2*t^5.083 + t^5.166 + 2*t^5.168 + 2*t^5.251 + 3*t^5.333 + 2*t^5.584 + t^5.667 + 2*t^5.834 + t^5.917 - 2*t^6. - t^4.333/y - t^4.333*y | detail |