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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[1], [-1], [1], [-1], [0], [0], [-1], [0]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ M_5$, $ M_3$, $ M_8$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ 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$, $ M_2M_4$, $ M_4M_5$, $ M_2M_6$, $ M_3M_4$, $ M_5M_6$, $ M_4M_8$, $ M_6M_8$, $ M_2^2$, $ M_4M_7$, $ M_2M_5$, $ M_6M_7$, $ M_4q_1\tilde{q}_2$ | . | -1 | 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^6.05 + t^6.28 + t^6.33 + t^6.39 + 2*t^6.56 + 2*t^6.61 + 2*t^6.67 + t^6.84 + t^6.9 + 2*t^6.95 + t^7. + t^7.18 + 3*t^7.23 + 3*t^7.28 + 3*t^7.33 + t^7.39 + t^7.44 + t^7.51 + t^7.56 + t^7.61 + t^7.84 + 3*t^7.9 + 4*t^7.95 + 3*t^8. + 2*t^8.05 + t^8.1 + t^8.16 + t^8.18 + t^8.23 - 2*t^8.28 - 3*t^8.33 - 2*t^8.39 + t^8.51 + 3*t^8.56 + 3*t^8.61 + 3*t^8.67 + t^8.72 + t^8.77 + 2*t^8.84 + t^8.9 - 2*t^8.95 - t^4.33/y - t^6.61/y - t^6.67/y + t^7.61/y + t^8./y + t^8.05/y + t^8.23/y + (2*t^8.28)/y + (2*t^8.33)/y + t^8.39/y + t^8.61/y + t^8.67/y + (2*t^8.95)/y - t^4.33*y - t^6.61*y - t^6.67*y + t^7.61*y + t^8.*y + t^8.05*y + t^8.23*y + 2*t^8.28*y + 2*t^8.33*y + t^8.39*y + t^8.61*y + t^8.67*y + 2*t^8.95*y | t^2.28/g1 + t^2.33 + t^2.95/g1 + t^3. + g1*t^3.05 + t^3.33 + t^3.61/g1 + t^3.67 + t^4.28/g1 + t^4.33 + g1*t^4.39 + t^4.56/g1^2 + t^4.61/g1 + t^4.67 + t^4.9/g1^2 + t^4.95/g1 + 2*t^5. + g1*t^5.05 + g1^2*t^5.1 + t^5.23/g1^2 + t^5.28/g1 + t^5.33 + t^5.61/g1 + t^5.67 + t^5.9/g1^2 + t^5.95/g1 - t^6. - g1*t^6.05 + t^6.28/g1 + t^6.33 + g1*t^6.39 + (2*t^6.56)/g1^2 + (2*t^6.61)/g1 + 2*t^6.67 + t^6.84/g1^3 + t^6.9/g1^2 + (2*t^6.95)/g1 + t^7. + t^7.18/g1^3 + (3*t^7.23)/g1^2 + (3*t^7.28)/g1 + 3*t^7.33 + g1*t^7.39 + g1^2*t^7.44 + t^7.51/g1^3 + t^7.56/g1^2 + t^7.61/g1 + t^7.84/g1^3 + (3*t^7.9)/g1^2 + (4*t^7.95)/g1 + 3*t^8. + 2*g1*t^8.05 + g1^2*t^8.1 + g1^3*t^8.16 + t^8.18/g1^3 + t^8.23/g1^2 - (2*t^8.28)/g1 - 3*t^8.33 - 2*g1*t^8.39 + t^8.51/g1^3 + (3*t^8.56)/g1^2 + (3*t^8.61)/g1 + 3*t^8.67 + g1*t^8.72 + g1^2*t^8.77 + (2*t^8.84)/g1^3 + t^8.9/g1^2 - (2*t^8.95)/g1 - t^4.33/y - t^6.61/(g1*y) - t^6.67/y + t^7.61/(g1*y) + t^8./y + (g1*t^8.05)/y + t^8.23/(g1^2*y) + (2*t^8.28)/(g1*y) + (2*t^8.33)/y + (g1*t^8.39)/y + t^8.61/(g1*y) + t^8.67/y + (2*t^8.95)/(g1*y) - t^4.33*y - (t^6.61*y)/g1 - t^6.67*y + (t^7.61*y)/g1 + t^8.*y + g1*t^8.05*y + (t^8.23*y)/g1^2 + (2*t^8.28*y)/g1 + 2*t^8.33*y + g1*t^8.39*y + (t^8.61*y)/g1 + t^8.67*y + (2*t^8.95*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6023 | $M_1q_1q_2$ + $ 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]] | 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. - t^4.33/y - t^4.33*y | detail | {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} |
| 6027 | $M_1q_1q_2$ + $ 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_9q_1\tilde{q}_2$ | 0.7234 | 0.8981 | 0.8055 | [X:[], M:[0.7951, 0.9827, 1.0173, 0.7605, 1.0, 0.7778, 1.2049, 1.1111, 0.7778], q:[0.5938, 0.6111], qb:[0.3889, 0.6284], phi:[0.4444]] | t^2.28 + 2*t^2.33 + t^2.95 + t^3. + t^3.05 + t^3.33 + t^3.61 + t^4.28 + t^4.33 + t^4.39 + t^4.56 + 2*t^4.61 + 3*t^4.67 + t^4.9 + t^4.95 + 2*t^5. + t^5.05 + t^5.1 + t^5.23 + 2*t^5.28 + 2*t^5.33 + t^5.39 + t^5.61 + 2*t^5.67 + t^5.9 + t^5.95 - 2*t^6. - t^4.33/y - t^4.33*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2463 | 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$ | 0.7157 | 0.8835 | 0.8101 | [X:[], M:[0.7951, 0.9827, 1.0173, 0.7605, 1.0, 0.7778, 1.2049], q:[0.5938, 0.6111], qb:[0.3889, 0.6284], phi:[0.4444]] | t^2.28 + t^2.33 + t^2.67 + t^2.95 + t^3. + t^3.05 + 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 + 2*t^4.95 + 3*t^5. + t^5.05 + t^5.1 + t^5.23 + t^5.28 + 2*t^5.33 + t^5.61 + t^5.67 + t^5.72 + t^5.9 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |