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 |
|---|---|---|---|---|---|---|---|---|---|
| 3135 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7286 | 0.9161 | 0.7953 | [X:[], M:[0.9262, 1.0246, 1.0738, 0.8769, 0.9262, 0.9262, 0.6846], q:[0.5123, 0.5615], qb:[0.4139, 0.5615], phi:[0.4877]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [-6], [15]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4M_7$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_7\phi_1^2$, $ M_7q_2\tilde{q}_1$, $ M_2M_7$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_6$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | . | -4 | t^2.05 + t^2.63 + 3*t^2.78 + 2*t^2.93 + t^3.07 + t^4.11 + t^4.24 + 2*t^4.39 + t^4.54 + 3*t^4.68 + 6*t^4.83 + 2*t^4.98 + t^5.13 + t^5.26 + 3*t^5.41 + 6*t^5.56 + 6*t^5.7 + 4*t^5.85 - 4*t^6. - 2*t^6.15 + t^6.16 + t^6.59 + 3*t^6.74 + t^6.87 + 6*t^6.89 + 2*t^7.02 + 2*t^7.03 + 6*t^7.17 + t^7.18 + 7*t^7.32 + 7*t^7.46 + 12*t^7.61 + 9*t^7.76 + t^7.89 + t^7.91 + 3*t^8.04 - 6*t^8.05 + 6*t^8.19 - 2*t^8.2 + t^8.22 + 10*t^8.34 + 9*t^8.48 + 4*t^8.63 + t^8.64 - 9*t^8.78 + 3*t^8.79 - 12*t^8.93 + 6*t^8.94 - t^4.46/y - t^6.52/y - t^7.09/y - (2*t^7.24)/y + (3*t^7.68)/y + (4*t^7.83)/y + (2*t^7.98)/y + t^8.13/y + (4*t^8.41)/y + (5*t^8.56)/y - t^8.57/y + (7*t^8.7)/y + (4*t^8.85)/y - t^4.46*y - t^6.52*y - t^7.09*y - 2*t^7.24*y + 3*t^7.68*y + 4*t^7.83*y + 2*t^7.98*y + t^8.13*y + 4*t^8.41*y + 5*t^8.56*y - t^8.57*y + 7*t^8.7*y + 4*t^8.85*y | g1^15*t^2.05 + t^2.63/g1^10 + (3*t^2.78)/g1^6 + (2*t^2.93)/g1^2 + g1^2*t^3.07 + g1^30*t^4.11 + t^4.24/g1^7 + (2*t^4.39)/g1^3 + g1*t^4.54 + 3*g1^5*t^4.68 + 6*g1^9*t^4.83 + 2*g1^13*t^4.98 + g1^17*t^5.13 + t^5.26/g1^20 + (3*t^5.41)/g1^16 + (6*t^5.56)/g1^12 + (6*t^5.7)/g1^8 + (4*t^5.85)/g1^4 - 4*t^6. - 2*g1^4*t^6.15 + g1^45*t^6.16 + g1^16*t^6.59 + 3*g1^20*t^6.74 + t^6.87/g1^17 + 6*g1^24*t^6.89 + (2*t^7.02)/g1^13 + 2*g1^28*t^7.03 + (6*t^7.17)/g1^9 + g1^32*t^7.18 + (7*t^7.32)/g1^5 + (7*t^7.46)/g1 + 12*g1^3*t^7.61 + 9*g1^7*t^7.76 + t^7.89/g1^30 + g1^11*t^7.91 + (3*t^8.04)/g1^26 - 6*g1^15*t^8.05 + (6*t^8.19)/g1^22 - 2*g1^19*t^8.2 + g1^60*t^8.22 + (10*t^8.34)/g1^18 + (9*t^8.48)/g1^14 + (4*t^8.63)/g1^10 + g1^31*t^8.64 - (9*t^8.78)/g1^6 + 3*g1^35*t^8.79 - (12*t^8.93)/g1^2 + 6*g1^39*t^8.94 - t^4.46/(g1*y) - (g1^14*t^6.52)/y - t^7.09/(g1^11*y) - (2*t^7.24)/(g1^7*y) + (3*g1^5*t^7.68)/y + (4*g1^9*t^7.83)/y + (2*g1^13*t^7.98)/y + (g1^17*t^8.13)/y + (4*t^8.41)/(g1^16*y) + (5*t^8.56)/(g1^12*y) - (g1^29*t^8.57)/y + (7*t^8.7)/(g1^8*y) + (4*t^8.85)/(g1^4*y) - (t^4.46*y)/g1 - g1^14*t^6.52*y - (t^7.09*y)/g1^11 - (2*t^7.24*y)/g1^7 + 3*g1^5*t^7.68*y + 4*g1^9*t^7.83*y + 2*g1^13*t^7.98*y + g1^17*t^8.13*y + (4*t^8.41*y)/g1^16 + (5*t^8.56*y)/g1^12 - g1^29*t^8.57*y + (7*t^8.7*y)/g1^8 + (4*t^8.85*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5035 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.6836 | 0.8711 | 0.7848 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | t^2.12 + 3*t^2.47 + 3*t^2.82 + t^3.18 + t^3.88 + 3*t^4.24 + 4*t^4.59 + 9*t^4.94 + 12*t^5.29 + 7*t^5.65 - 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 53739/78608, c: 34239/39304, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
| 5034 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7\phi_1^2$ + $ M_4X_1$ | 0.6065 | 0.7699 | 0.7877 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692, 0.7692, 1.0769], q:[0.5385, 0.6923], qb:[0.2308, 0.6923], phi:[0.4615]] | 3*t^2.31 + 2*t^2.77 + 2*t^3.23 + t^3.69 + 3*t^4.15 + 5*t^4.62 + 7*t^5.08 + 10*t^5.54 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 10659/17576, c: 3383/4394, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, M6: 10/13, M7: 14/13, q1: 7/13, q2: 9/13, qb1: 3/13, qb2: 9/13, phi1: 6/13} |
| 5031 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_4X_1$ | 0.6407 | 0.8073 | 0.7936 | [X:[1.3333], M:[0.8, 1.0667, 1.2, 0.6667, 0.8, 0.8, 1.0], q:[0.5333, 0.6667], qb:[0.2667, 0.6667], phi:[0.4667]] | 3*t^2.4 + 2*t^2.8 + t^3. + t^3.2 + t^3.8 + t^4. + 2*t^4.2 + t^4.6 + 4*t^4.8 + 2*t^5. + 5*t^5.2 + 6*t^5.4 + 4*t^5.6 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail | {a: 961/1500, c: 1211/1500, X1: 4/3, M1: 4/5, M2: 16/15, M3: 6/5, M4: 2/3, M5: 4/5, M6: 4/5, M7: 1, q1: 8/15, q2: 2/3, qb1: 4/15, qb2: 2/3, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2067 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7079 | 0.8764 | 0.8078 | [X:[], M:[0.9219, 1.026, 1.0781, 0.8698, 0.9219, 0.9219], q:[0.513, 0.5651], qb:[0.4088, 0.5651], phi:[0.487]] | t^2.61 + 3*t^2.77 + 2*t^2.92 + t^3.08 + t^3.91 + t^4.23 + 2*t^4.38 + t^4.54 + 2*t^4.7 + 3*t^4.85 + t^5.22 + 3*t^5.37 + 6*t^5.53 + 6*t^5.69 + 4*t^5.84 - 4*t^6. - t^4.46/y - t^4.46*y | detail |