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 |
|---|---|---|---|---|---|---|---|---|---|
| 1415 | 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$ | 0.733 | 0.9136 | 0.8024 | [X:[], M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | [X:[], M:[[1], [-1], [1], [-1], [0], [0]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 475/648, c: 74/81, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, 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 |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_6$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_5$, $ M_2$, $ M_3$, $ 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$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1M_6$, $ M_4M_6$, $ M_6^2$, $ M_4^2$, $ M_4M_6$, $ M_1M_6$, $ M_1^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \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$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_1\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_1M_3$, $ M_2M_4$, $ M_3M_4$, $ M_1M_5$, $ M_4M_5$, $ M_2M_6$, $ M_3M_6$, $ M_5M_6$, $ \phi_1^4$, $ M_2M_4$, $ M_4M_5$, $ M_2M_6$, $ M_1M_5$, $ M_3M_6$, $ M_1M_3$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$ | $M_2^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$, $ M_4q_1\tilde{q}_2$ | -1 | 3*t^2.33 + t^2.67 + 3*t^3. + t^3.67 + 3*t^4.33 + 6*t^4.67 + 9*t^5. + 7*t^5.33 + 3*t^5.67 - t^6. + t^6.33 + 5*t^6.67 + 12*t^7. + 22*t^7.33 + 15*t^7.67 + 16*t^8. - 12*t^8.33 + 2*t^8.67 - t^4.33/y - (3*t^6.67)/y - t^7./y + (4*t^7.67)/y + (6*t^8.)/y + (9*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - 3*t^6.67*y - t^7.*y + 4*t^7.67*y + 6*t^8.*y + 9*t^8.33*y + 3*t^8.67*y | t^2.33 + t^2.33/g1 + g1*t^2.33 + t^2.67 + t^3. + t^3./g1 + g1*t^3. + t^3.67 + t^4.33 + t^4.33/g1 + g1*t^4.33 + 2*t^4.67 + t^4.67/g1^2 + t^4.67/g1 + g1*t^4.67 + g1^2*t^4.67 + 3*t^5. + t^5./g1^2 + (2*t^5.)/g1 + 2*g1*t^5. + g1^2*t^5. + 3*t^5.33 + t^5.33/g1^2 + t^5.33/g1 + g1*t^5.33 + g1^2*t^5.33 + t^5.67 + t^5.67/g1 + g1*t^5.67 - t^6. + t^6.33 + t^6.67 + t^6.67/g1^2 + t^6.67/g1 + g1*t^6.67 + g1^2*t^6.67 + 2*t^7. + t^7./g1^3 + t^7./g1^2 + (3*t^7.)/g1 + 3*g1*t^7. + g1^2*t^7. + g1^3*t^7. + 6*t^7.33 + t^7.33/g1^3 + (3*t^7.33)/g1^2 + (4*t^7.33)/g1 + 4*g1*t^7.33 + 3*g1^2*t^7.33 + g1^3*t^7.33 + 3*t^7.67 + t^7.67/g1^3 + (2*t^7.67)/g1^2 + (3*t^7.67)/g1 + 3*g1*t^7.67 + 2*g1^2*t^7.67 + g1^3*t^7.67 + 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. - 4*t^8.33 - t^8.33/g1^2 - (3*t^8.33)/g1 - 3*g1*t^8.33 - g1^2*t^8.33 + t^8.67/g1^2 + g1^2*t^8.67 - t^4.33/y - t^6.67/y - t^6.67/(g1*y) - (g1*t^6.67)/y - t^7./y + (2*t^7.67)/y + t^7.67/(g1*y) + (g1*t^7.67)/y + (2*t^8.)/y + (2*t^8.)/(g1*y) + (2*g1*t^8.)/y + (3*t^8.33)/y + t^8.33/(g1^2*y) + (2*t^8.33)/(g1*y) + (2*g1*t^8.33)/y + (g1^2*t^8.33)/y + t^8.67/y + t^8.67/(g1*y) + (g1*t^8.67)/y - t^4.33*y - t^6.67*y - (t^6.67*y)/g1 - g1*t^6.67*y - t^7.*y + 2*t^7.67*y + (t^7.67*y)/g1 + g1*t^7.67*y + 2*t^8.*y + (2*t^8.*y)/g1 + 2*g1*t^8.*y + 3*t^8.33*y + (t^8.33*y)/g1^2 + (2*t^8.33*y)/g1 + 2*g1*t^8.33*y + g1^2*t^8.33*y + t^8.67*y + (t^8.67*y)/g1 + g1*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 |
|---|---|---|---|---|---|---|---|---|
| 2463 | $M_1q_1q_2$ + $ 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 | |
| 2461 | $M_1q_1q_2$ + $ 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_2M_7$ | 0.7343 | 0.9166 | 0.8011 | [X:[], 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^2.25 + t^2.33 + t^2.42 + t^2.67 + 2*t^2.92 + t^3. + t^3.67 + t^4.25 + t^4.33 + t^4.42 + t^4.5 + t^4.58 + 2*t^4.67 + t^4.75 + 2*t^4.83 + 2*t^4.92 + 3*t^5. + 2*t^5.08 + 3*t^5.17 + 2*t^5.25 + 3*t^5.33 + 2*t^5.58 + t^5.67 + 2*t^5.83 + t^5.92 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 2466 | $M_1q_1q_2$ + $ 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_6M_7$ | 0.7153 | 0.8819 | 0.811 | [X:[], M:[0.7778, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.2222], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 2*t^2.33 + t^2.67 + 3*t^3. + 2*t^3.67 + 3*t^4.33 + 3*t^4.67 + 8*t^5. + 4*t^5.33 + 3*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 103/144, c: 127/144, M1: 7/9, M2: 1, M3: 1, M4: 7/9, M5: 1, M6: 7/9, M7: 11/9, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, 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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 923 | 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$ | 0.74 | 0.9227 | 0.802 | [X:[], M:[0.8456, 1.0, 1.0, 0.8456, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.4228, 0.5772], phi:[0.4614]] | t^2.08 + 2*t^2.54 + t^2.77 + 3*t^3. + t^3.46 + t^4.16 + 3*t^4.38 + 2*t^4.62 + 7*t^4.85 + 3*t^5.07 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + 3*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail |