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 |
|---|---|---|---|---|---|---|---|---|---|
| 4813 | 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_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ + $ M_7X_1$ | 0.674 | 0.8371 | 0.8051 | [X:[1.3321], M:[0.9981, 0.778, 0.9431, 0.833, 1.167, 1.112, 0.6679, 0.778], q:[0.6129, 0.389], qb:[0.444, 0.778], phi:[0.444]] | [X:[[12]], M:[[18], [-2], [13], [3], [-3], [-8], [-12], [-2]], q:[[-17], [-1]], qb:[[4], [-2]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_8$, $ M_4$, $ M_3$, $ M_1$, $ M_6$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_2M_8$, $ M_8^2$, $ M_2M_4$, $ M_4M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_3M_8$, $ M_1M_2$, $ M_3M_4$, $ M_1M_8$, $ M_3^2$, $ M_2M_6$, $ M_6M_8$, $ M_1M_3$, $ M_2M_5$, $ M_4M_6$, $ M_5M_8$, $ M_1^2$ | . | -2 | 2*t^2.33 + t^2.5 + t^2.83 + t^2.99 + t^3.34 + t^3.5 + t^3.83 + t^4. + t^4.17 + t^4.34 + t^4.5 + 3*t^4.67 + 2*t^4.83 + t^5. + t^5.01 + 2*t^5.16 + 2*t^5.33 + t^5.66 + 2*t^5.67 + t^5.82 + 2*t^5.83 + t^5.99 - 2*t^6. + t^6.17 + 4*t^6.33 + t^6.5 + t^6.51 + 2*t^6.67 + t^6.83 + 2*t^6.84 + t^6.99 + 4*t^7. + 3*t^7.17 + 2*t^7.33 + 2*t^7.34 + 4*t^7.5 + t^7.51 + 3*t^7.66 + t^7.67 + t^7.83 + 3*t^7.99 + 3*t^8. + 2*t^8.16 + 2*t^8.17 + 2*t^8.32 - 4*t^8.33 + t^8.35 + t^8.49 + t^8.51 + t^8.65 + 4*t^8.66 + t^8.82 - t^8.83 + t^8.84 + t^8.98 - 2*t^8.99 - t^4.33/y - (2*t^6.67)/y - t^7.16/y - t^7.33/y + t^7.34/y + t^7.5/y + t^7.67/y + (2*t^7.83)/y + (2*t^8.)/y + (2*t^8.16)/y + (3*t^8.33)/y + t^8.49/y + (2*t^8.67)/y + t^8.82/y + (3*t^8.83)/y - t^4.33*y - 2*t^6.67*y - t^7.16*y - t^7.33*y + t^7.34*y + t^7.5*y + t^7.67*y + 2*t^7.83*y + 2*t^8.*y + 2*t^8.16*y + 3*t^8.33*y + t^8.49*y + 2*t^8.67*y + t^8.82*y + 3*t^8.83*y | (2*t^2.33)/g1^2 + g1^3*t^2.5 + g1^13*t^2.83 + g1^18*t^2.99 + t^3.34/g1^8 + t^3.5/g1^3 + g1^7*t^3.83 + g1^12*t^4. + t^4.17/g1^19 + t^4.34/g1^14 + t^4.5/g1^9 + (3*t^4.67)/g1^4 + 2*g1*t^4.83 + g1^6*t^5. + t^5.01/g1^30 + 2*g1^11*t^5.16 + 2*g1^16*t^5.33 + g1^26*t^5.66 + (2*t^5.67)/g1^10 + g1^31*t^5.82 + (2*t^5.83)/g1^5 + g1^36*t^5.99 - 2*t^6. + g1^5*t^6.17 + 4*g1^10*t^6.33 + g1^15*t^6.5 + t^6.51/g1^21 + (2*t^6.67)/g1^16 + g1^25*t^6.83 + (2*t^6.84)/g1^11 + g1^30*t^6.99 + (4*t^7.)/g1^6 + (3*t^7.17)/g1 + 2*g1^4*t^7.33 + (2*t^7.34)/g1^32 + 4*g1^9*t^7.5 + t^7.51/g1^27 + 3*g1^14*t^7.66 + t^7.67/g1^22 + g1^19*t^7.83 + 3*g1^24*t^7.99 + (3*t^8.)/g1^12 + 2*g1^29*t^8.16 + (2*t^8.17)/g1^7 + 2*g1^34*t^8.32 - (4*t^8.33)/g1^2 + t^8.35/g1^38 + g1^39*t^8.49 + t^8.51/g1^33 + g1^44*t^8.65 + 4*g1^8*t^8.66 + g1^49*t^8.82 - g1^13*t^8.83 + t^8.84/g1^23 + g1^54*t^8.98 - 2*g1^18*t^8.99 - (g1^4*t^4.33)/y - (2*g1^2*t^6.67)/y - (g1^17*t^7.16)/y - (g1^22*t^7.33)/y + t^7.34/(g1^14*y) + t^7.5/(g1^9*y) + t^7.67/(g1^4*y) + (2*g1*t^7.83)/y + (2*g1^6*t^8.)/y + (2*g1^11*t^8.16)/y + (3*g1^16*t^8.33)/y + (g1^21*t^8.49)/y + (2*t^8.67)/(g1^10*y) + (g1^31*t^8.82)/y + (3*t^8.83)/(g1^5*y) - g1^4*t^4.33*y - 2*g1^2*t^6.67*y - g1^17*t^7.16*y - g1^22*t^7.33*y + (t^7.34*y)/g1^14 + (t^7.5*y)/g1^9 + (t^7.67*y)/g1^4 + 2*g1*t^7.83*y + 2*g1^6*t^8.*y + 2*g1^11*t^8.16*y + 3*g1^16*t^8.33*y + g1^21*t^8.49*y + (2*t^8.67*y)/g1^10 + g1^31*t^8.82*y + (3*t^8.83*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6432 | $M_1q_1q_2$ + $ 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_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ + $ M_7X_1$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.694 | 0.8747 | 0.7934 | [X:[1.337], M:[1.0056, 0.7772, 0.9485, 0.8343, 1.1657, 1.1086, 0.663, 0.7772, 0.7201], q:[0.6059, 0.3886], qb:[0.4457, 0.7772], phi:[0.4457]] | t^2.16 + 2*t^2.33 + t^2.5 + t^2.85 + t^3.02 + t^3.33 + t^3.5 + t^4.01 + t^4.15 + 2*t^4.32 + 3*t^4.49 + 4*t^4.66 + 2*t^4.83 + t^4.97 + 2*t^5.01 + 3*t^5.18 + 2*t^5.35 + t^5.49 + 3*t^5.66 + t^5.69 + 2*t^5.83 + t^5.86 - 2*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2660 | 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_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6771 | 0.847 | 0.7994 | [X:[], M:[0.9949, 0.7783, 0.9408, 0.8325, 1.1675, 1.1134, 0.6701], q:[0.6159, 0.3892], qb:[0.4433, 0.7783], phi:[0.4433]] | t^2.01 + t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^4.02 + t^4.18 + 2*t^4.35 + 2*t^4.51 + t^4.67 + 2*t^4.83 + 2*t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.35 + t^5.51 + t^5.64 + 2*t^5.68 + t^5.81 + 2*t^5.84 + t^5.97 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 1261243/1862832, c: 788911/931416, M1: 196/197, M2: 460/591, M3: 556/591, M4: 164/197, M5: 230/197, M6: 658/591, M7: 132/197, q1: 364/591, q2: 230/591, qb1: 262/591, qb2: 460/591, phi1: 262/591} |