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 |
|---|---|---|---|---|---|---|---|---|---|
| 6023 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_8\phi_1^2$ + $ M_4M_9$ | 0.6875 | 0.8333 | 0.825 | [X:[], M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.2222, 1.1111, 1.2222], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | [X:[], M:[[1], [-1], [1], [-1], [0], [0], [-1], [0], [1]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 11/16, c: 5/6, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, M7: 11/9, M8: 10/9, M9: 11/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ M_5$, $ M_2$, $ M_3$, $ M_8$, $ M_7$, $ M_9$, $ q_1\tilde{q}_2$, $ M_7$, $ M_9$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6M_8$ | $M_2^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$, $ M_6M_7$, $ M_6M_9$ | -1 | t^2.33 + 3*t^3. + t^3.33 + 3*t^3.67 + 3*t^4.33 + t^4.67 + 6*t^5. + t^5.67 - t^6. + 3*t^6.33 + 6*t^6.67 + 3*t^7. + 9*t^7.33 + 16*t^8. - 4*t^8.33 + 15*t^8.67 - t^4.33/y - t^6.67/y + t^8./y + (3*t^8.33)/y + t^8.67/y - t^4.33*y - t^6.67*y + t^8.*y + 3*t^8.33*y + t^8.67*y | t^2.33 + t^3. + t^3./g1 + g1*t^3. + t^3.33 + t^3.67 + t^3.67/g1 + g1*t^3.67 + t^4.33 + t^4.33/g1 + g1*t^4.33 + t^4.67 + 2*t^5. + t^5./g1^2 + t^5./g1 + g1*t^5. + g1^2*t^5. + t^5.67 - t^6. + t^6.33 + t^6.33/g1 + g1*t^6.33 + 2*t^6.67 + t^6.67/g1^2 + t^6.67/g1 + g1*t^6.67 + g1^2*t^6.67 + t^7. + t^7./g1 + g1*t^7. + 3*t^7.33 + (2*t^7.33)/g1^2 + t^7.33/g1 + g1*t^7.33 + 2*g1^2*t^7.33 + 4*t^8. + t^8./g1^3 + (2*t^8.)/g1^2 + (3*t^8.)/g1 + 3*g1*t^8. + 2*g1^2*t^8. + g1^3*t^8. - 2*t^8.33 - t^8.33/g1 - g1*t^8.33 + 3*t^8.67 + t^8.67/g1^3 + (2*t^8.67)/g1^2 + (3*t^8.67)/g1 + 3*g1*t^8.67 + 2*g1^2*t^8.67 + g1^3*t^8.67 - t^4.33/y - t^6.67/y + t^8./y + t^8.33/y + t^8.33/(g1*y) + (g1*t^8.33)/y + t^8.67/y - t^4.33*y - t^6.67*y + t^8.*y + t^8.33*y + (t^8.33*y)/g1 + g1*t^8.33*y + t^8.67*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 |
|---|
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4512 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_8\phi_1^2$ | 0.7057 | 0.8665 | 0.8144 | [X:[], M:[0.7951, 0.9827, 1.0173, 0.7605, 1.0, 0.7778, 1.2049, 1.1111], q:[0.5938, 0.6111], qb:[0.3889, 0.6284], phi:[0.4444]] | t^2.28 + t^2.33 + t^2.95 + t^3. + t^3.05 + t^3.33 + t^3.61 + t^3.67 + t^4.28 + t^4.33 + t^4.39 + t^4.56 + t^4.61 + t^4.67 + t^4.9 + t^4.95 + 2*t^5. + t^5.05 + t^5.1 + t^5.23 + t^5.28 + t^5.33 + t^5.61 + t^5.67 + t^5.9 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |