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 |
|---|---|---|---|---|---|---|---|---|---|
| 899 | 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_2\tilde{q}_1$ | 0.702 | 0.8645 | 0.812 | [X:[], M:[0.933, 1.0223, 1.067, 0.8883, 0.933], q:[0.4665, 0.6005], qb:[0.4665, 0.5112], phi:[0.4888]] | [X:[], M:[[-6], [2], [6], [-10], [-6]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | . | -2 | t^2.66 + 2*t^2.8 + 2*t^2.93 + t^3.07 + t^3.2 + 3*t^4.27 + 2*t^4.4 + t^4.53 + 2*t^4.67 + t^4.8 + t^5.07 + t^5.33 + 2*t^5.46 + 3*t^5.6 + 4*t^5.73 + 4*t^5.87 - 2*t^6. - t^6.4 + 3*t^6.93 + 6*t^7.06 + 8*t^7.2 + 5*t^7.33 + 3*t^7.47 + t^7.6 + t^7.73 + t^7.87 + t^7.99 + t^8. + 2*t^8.13 + 3*t^8.26 + t^8.27 + 5*t^8.4 + 10*t^8.53 + 4*t^8.66 - 2*t^8.8 - 3*t^8.93 - t^4.47/y - t^7.13/y - t^7.27/y + t^7.67/y + t^7.8/y + (2*t^8.46)/y + (3*t^8.6)/y + (5*t^8.73)/y + (4*t^8.87)/y - t^4.47*y - t^7.13*y - t^7.27*y + t^7.67*y + t^7.8*y + 2*t^8.46*y + 3*t^8.6*y + 5*t^8.73*y + 4*t^8.87*y | t^2.66/g1^10 + (2*t^2.8)/g1^6 + (2*t^2.93)/g1^2 + g1^2*t^3.07 + g1^6*t^3.2 + (3*t^4.27)/g1^7 + (2*t^4.4)/g1^3 + g1*t^4.53 + 2*g1^5*t^4.67 + g1^9*t^4.8 + g1^17*t^5.07 + t^5.33/g1^20 + (2*t^5.46)/g1^16 + (3*t^5.6)/g1^12 + (4*t^5.73)/g1^8 + (4*t^5.87)/g1^4 - 2*t^6. - g1^12*t^6.4 + (3*t^6.93)/g1^17 + (6*t^7.06)/g1^13 + (8*t^7.2)/g1^9 + (5*t^7.33)/g1^5 + (3*t^7.47)/g1 + g1^3*t^7.6 + g1^7*t^7.73 + g1^11*t^7.87 + t^7.99/g1^30 + g1^15*t^8. + (2*t^8.13)/g1^26 + (3*t^8.26)/g1^22 + g1^23*t^8.27 + (5*t^8.4)/g1^18 + (10*t^8.53)/g1^14 + (4*t^8.66)/g1^10 - (2*t^8.8)/g1^6 - (3*t^8.93)/g1^2 - t^4.47/(g1*y) - t^7.13/(g1^11*y) - t^7.27/(g1^7*y) + (g1^5*t^7.67)/y + (g1^9*t^7.8)/y + (2*t^8.46)/(g1^16*y) + (3*t^8.6)/(g1^12*y) + (5*t^8.73)/(g1^8*y) + (4*t^8.87)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.13*y)/g1^11 - (t^7.27*y)/g1^7 + g1^5*t^7.67*y + g1^9*t^7.8*y + (2*t^8.46*y)/g1^16 + (3*t^8.6*y)/g1^12 + (5*t^8.73*y)/g1^8 + (4*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 1385 | $M_1q_1q_2$ + $ 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_2\tilde{q}_1$ + $ M_2M_6$ | 0.7042 | 0.8689 | 0.8105 | [X:[], M:[0.9263, 1.0246, 1.0737, 0.8772, 0.9263, 0.9754], q:[0.4632, 0.6105], qb:[0.4632, 0.5123], phi:[0.4877]] | t^2.63 + 2*t^2.78 + 3*t^2.93 + t^3.22 + 3*t^4.24 + 2*t^4.39 + t^4.54 + 2*t^4.68 + t^4.83 + t^5.13 + t^5.26 + 2*t^5.41 + 4*t^5.56 + 5*t^5.71 + 5*t^5.85 - 4*t^6. - t^4.46/y - t^4.46*y | detail | |
| 1383 | $M_1q_1q_2$ + $ 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_2\tilde{q}_1$ + $ M_4M_6$ | 0.6942 | 0.85 | 0.8166 | [X:[], M:[0.9652, 1.0116, 1.0348, 0.942, 0.9652, 1.058], q:[0.4826, 0.5522], qb:[0.4826, 0.5058], phi:[0.4942]] | 2*t^2.9 + 2*t^2.97 + t^3.03 + t^3.1 + t^3.17 + 3*t^4.38 + 2*t^4.45 + t^4.52 + 2*t^4.59 + t^4.66 + t^4.8 + t^5.79 + 3*t^5.86 + 3*t^5.93 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 1384 | $M_1q_1q_2$ + $ 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_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.7 | 0.8606 | 0.8133 | [X:[], M:[0.9396, 1.0201, 1.0604, 0.8994, 0.9396, 1.0201], q:[0.4698, 0.5906], qb:[0.4698, 0.5101], phi:[0.4899]] | t^2.7 + 2*t^2.82 + t^2.94 + 2*t^3.06 + t^3.18 + 3*t^4.29 + 2*t^4.41 + t^4.53 + 2*t^4.65 + t^4.77 + t^5.01 + t^5.4 + 2*t^5.52 + 2*t^5.64 + 3*t^5.76 + 4*t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 2083 | $M_1q_1q_2$ + $ 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_2\tilde{q}_1$ + $ M_6q_2\tilde{q}_1$ | 0.709 | 0.8787 | 0.8069 | [X:[], M:[0.9142, 1.0286, 1.0858, 0.8571, 0.9142, 0.9142], q:[0.4571, 0.6286], qb:[0.4571, 0.5143], phi:[0.4857]] | t^2.57 + 3*t^2.74 + 2*t^2.91 + t^3.09 + 3*t^4.2 + 2*t^4.37 + t^4.54 + 2*t^4.71 + t^4.89 + t^5.14 + t^5.23 + 3*t^5.31 + 6*t^5.49 + 6*t^5.66 + 4*t^5.83 - 4*t^6. - t^4.46/y - t^4.46*y | detail | |
| 2081 | $M_1q_1q_2$ + $ 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_2\tilde{q}_1$ + $ \phi_1q_2^2$ | 0.6742 | 0.847 | 0.796 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | t^2.12 + 2*t^2.47 + 2*t^2.82 + t^3.18 + t^3.53 + 3*t^3.88 + 3*t^4.24 + 3*t^4.59 + 5*t^4.94 + 5*t^5.29 + 4*t^5.65 + 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 52995/78608, c: 33289/39304, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 580 | 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$ | 0.7035 | 0.8668 | 0.8116 | [X:[], M:[0.9248, 1.0251, 1.0752, 0.8746, 0.9248], q:[0.4849, 0.5904], qb:[0.4399, 0.535], phi:[0.4875]] | t^2.62 + 2*t^2.77 + t^2.92 + t^3.06 + t^3.08 + t^3.09 + t^4.1 + t^4.24 + t^4.37 + t^4.39 + t^4.52 + t^4.55 + t^4.67 + t^4.69 + t^4.84 + t^5. + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.83 + 2*t^5.85 + t^5.86 + t^5.98 - 3*t^6. - t^4.46/y - t^4.46*y | detail |