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 |
|---|---|---|---|---|---|---|---|---|---|
| 4959 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1^2$ | 0.6258 | 0.8133 | 0.7694 | [X:[], M:[1.0, 1.0189, 0.9623, 1.2547, 0.7076, 0.7453, 0.7453, 1.0189], q:[0.2453, 0.7547], qb:[0.5, 0.5377], phi:[0.4906]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [-1], [4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_7$, $ q_1\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_8$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_5M_7$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_1M_5$, $ M_3M_6$, $ M_3M_7$, $ M_2M_5$, $ M_5M_8$, $ M_1M_6$, $ M_1M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_2M_7$, $ M_6M_8$, $ M_7M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ M_3^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_3M_8$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_2$ | . | -3 | t^2.12 + 2*t^2.24 + t^2.35 + t^2.89 + t^3. + 2*t^3.06 + t^3.71 + t^3.82 + t^4.25 + 2*t^4.36 + 5*t^4.47 + 3*t^4.58 + 2*t^4.7 + t^5.01 + 2*t^5.12 + 2*t^5.18 + 2*t^5.24 + 4*t^5.29 + t^5.35 + 2*t^5.41 + t^5.77 + t^5.83 + 4*t^5.94 - 3*t^6. + 4*t^6.06 + t^6.11 + t^6.17 + t^6.37 + 2*t^6.48 + 5*t^6.59 - t^6.65 + 8*t^6.71 - t^6.76 + 6*t^6.82 + 4*t^6.93 + 2*t^7.05 + t^7.13 + 2*t^7.25 + 2*t^7.3 + 3*t^7.36 + 4*t^7.42 + 2*t^7.47 + 7*t^7.53 + t^7.58 + 5*t^7.64 + t^7.7 + 3*t^7.75 + t^7.9 + t^7.95 + t^8.01 + 4*t^8.07 - 4*t^8.12 + 8*t^8.18 - 7*t^8.24 + 7*t^8.29 - 3*t^8.35 + 4*t^8.41 + t^8.49 + 2*t^8.52 + 2*t^8.6 + t^8.66 + 5*t^8.72 + 9*t^8.83 - 5*t^8.89 + 11*t^8.94 - t^4.47/y - t^6.59/y - t^6.71/y + t^7.36/y + t^7.42/y + (2*t^7.47)/y - t^7.53/y + (3*t^7.58)/y + t^8.01/y + (3*t^8.12)/y + (2*t^8.18)/y + (4*t^8.24)/y + (4*t^8.29)/y + (2*t^8.35)/y + (2*t^8.41)/y - t^8.72/y + t^8.89/y + (4*t^8.94)/y - t^4.47*y - t^6.59*y - t^6.71*y + t^7.36*y + t^7.42*y + 2*t^7.47*y - t^7.53*y + 3*t^7.58*y + t^8.01*y + 3*t^8.12*y + 2*t^8.18*y + 4*t^8.24*y + 4*t^8.29*y + 2*t^8.35*y + 2*t^8.41*y - t^8.72*y + t^8.89*y + 4*t^8.94*y | t^2.12/g1^9 + (2*t^2.24)/g1 + g1^7*t^2.35 + t^2.89/g1^8 + t^3. + 2*g1^4*t^3.06 + t^3.71/g1^3 + g1^5*t^3.82 + t^4.25/g1^18 + (2*t^4.36)/g1^10 + (5*t^4.47)/g1^2 + 3*g1^6*t^4.58 + 2*g1^14*t^4.7 + t^5.01/g1^17 + (2*t^5.12)/g1^9 + (2*t^5.18)/g1^5 + (2*t^5.24)/g1 + 4*g1^3*t^5.29 + g1^7*t^5.35 + 2*g1^11*t^5.41 + t^5.77/g1^16 + t^5.83/g1^12 + (4*t^5.94)/g1^4 - 3*t^6. + 4*g1^4*t^6.06 + g1^8*t^6.11 + g1^12*t^6.17 + t^6.37/g1^27 + (2*t^6.48)/g1^19 + (5*t^6.59)/g1^11 - t^6.65/g1^7 + (8*t^6.71)/g1^3 - g1*t^6.76 + 6*g1^5*t^6.82 + 4*g1^13*t^6.93 + 2*g1^21*t^7.05 + t^7.13/g1^26 + (2*t^7.25)/g1^18 + (2*t^7.3)/g1^14 + (3*t^7.36)/g1^10 + (4*t^7.42)/g1^6 + (2*t^7.47)/g1^2 + 7*g1^2*t^7.53 + g1^6*t^7.58 + 5*g1^10*t^7.64 + g1^14*t^7.7 + 3*g1^18*t^7.75 + t^7.9/g1^25 + t^7.95/g1^21 + t^8.01/g1^17 + (4*t^8.07)/g1^13 - (4*t^8.12)/g1^9 + (8*t^8.18)/g1^5 - (7*t^8.24)/g1 + 7*g1^3*t^8.29 - 3*g1^7*t^8.35 + 4*g1^11*t^8.41 + t^8.49/g1^36 + 2*g1^19*t^8.52 + (2*t^8.6)/g1^28 + t^8.66/g1^24 + (5*t^8.72)/g1^20 + (9*t^8.83)/g1^12 - (5*t^8.89)/g1^8 + (11*t^8.94)/g1^4 - t^4.47/(g1^2*y) - t^6.59/(g1^11*y) - t^6.71/(g1^3*y) + t^7.36/(g1^10*y) + t^7.42/(g1^6*y) + (2*t^7.47)/(g1^2*y) - (g1^2*t^7.53)/y + (3*g1^6*t^7.58)/y + t^8.01/(g1^17*y) + (3*t^8.12)/(g1^9*y) + (2*t^8.18)/(g1^5*y) + (4*t^8.24)/(g1*y) + (4*g1^3*t^8.29)/y + (2*g1^7*t^8.35)/y + (2*g1^11*t^8.41)/y - t^8.72/(g1^20*y) + t^8.89/(g1^8*y) + (4*t^8.94)/(g1^4*y) - (t^4.47*y)/g1^2 - (t^6.59*y)/g1^11 - (t^6.71*y)/g1^3 + (t^7.36*y)/g1^10 + (t^7.42*y)/g1^6 + (2*t^7.47*y)/g1^2 - g1^2*t^7.53*y + 3*g1^6*t^7.58*y + (t^8.01*y)/g1^17 + (3*t^8.12*y)/g1^9 + (2*t^8.18*y)/g1^5 + (4*t^8.24*y)/g1 + 4*g1^3*t^8.29*y + 2*g1^7*t^8.35*y + 2*g1^11*t^8.41*y - (t^8.72*y)/g1^20 + (t^8.89*y)/g1^8 + (4*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 6550 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.6442 | 0.8467 | 0.7609 | [X:[], M:[1.0, 1.0154, 0.9693, 1.2538, 0.7154, 0.7462, 0.7462, 1.0154, 0.7615], q:[0.2462, 0.7538], qb:[0.5, 0.5307], phi:[0.4923]] | t^2.15 + 2*t^2.24 + t^2.28 + t^2.33 + t^2.91 + t^3. + 2*t^3.05 + t^3.81 + t^4.29 + 2*t^4.38 + t^4.43 + 5*t^4.48 + 2*t^4.52 + 4*t^4.57 + t^4.62 + 2*t^4.66 + t^5.05 + 2*t^5.15 + 3*t^5.19 + 2*t^5.24 + 5*t^5.28 + 3*t^5.33 + 2*t^5.38 + t^5.82 + 2*t^5.95 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
| 6551 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1q_1\tilde{q}_2$ | 0.6457 | 0.8506 | 0.7591 | [X:[], M:[1.0, 1.0225, 0.955, 1.2556, 0.6994, 0.7444, 0.7444, 1.0225, 0.7219], q:[0.2444, 0.7556], qb:[0.5, 0.545], phi:[0.4888]] | t^2.1 + t^2.17 + 2*t^2.23 + t^2.37 + t^2.87 + t^3. + 2*t^3.07 + t^3.7 + t^4.2 + t^4.26 + 3*t^4.33 + 2*t^4.4 + 5*t^4.47 + t^4.53 + 3*t^4.6 + 2*t^4.74 + t^4.96 + t^5.03 + 2*t^5.1 + 3*t^5.17 + 4*t^5.23 + 4*t^5.3 + t^5.37 + 2*t^5.44 + t^5.73 + t^5.8 + t^5.87 + 3*t^5.93 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3065 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ | 0.628 | 0.8172 | 0.7684 | [X:[], M:[1.0, 1.0283, 0.9433, 1.2571, 0.6862, 0.7429, 0.7429], q:[0.2429, 0.7571], qb:[0.5, 0.5567], phi:[0.4858]] | t^2.06 + 2*t^2.23 + t^2.4 + t^2.83 + t^2.91 + t^3. + t^3.09 + t^3.69 + t^3.86 + t^4.12 + 2*t^4.29 + 5*t^4.46 + 3*t^4.63 + 2*t^4.8 + t^4.89 + t^4.97 + 2*t^5.06 + 3*t^5.14 + 2*t^5.23 + 3*t^5.31 + t^5.4 + t^5.48 + t^5.66 + 2*t^5.74 + t^5.83 + 4*t^5.91 - 2*t^6. - t^4.46/y - t^4.46*y | detail |