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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | 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$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1]], 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$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_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_5\phi_1q_1^2$, $ M_1M_5$, $ M_3M_6$, $ M_2M_5$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ \phi_1q_1^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_4M_5$, $ \phi_1^2q_1^4$, $ M_2M_3$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_2$ | . | -1 | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. + 2*t^6.08 + t^6.2 + t^6.25 + t^6.36 + 3*t^6.52 + t^6.61 + 4*t^6.69 + 4*t^6.85 - t^6.93 + t^6.97 + 2*t^7.02 + t^7.05 + t^7.13 + 2*t^7.18 + 2*t^7.21 + t^7.29 + 4*t^7.38 + t^7.46 + 3*t^7.54 + t^7.62 + 3*t^7.71 + t^7.74 + t^7.79 + 2*t^7.82 + t^7.87 + 2*t^7.9 + 3*t^7.98 - t^8.07 + 4*t^8.15 - t^8.23 + t^8.26 + 3*t^8.31 - 3*t^8.39 + t^8.43 + 2*t^8.48 + t^8.51 + 4*t^8.59 + 2*t^8.64 + 3*t^8.67 + 5*t^8.75 - t^8.84 + 3*t^8.92 - t^4.46/y - t^6.52/y + t^7.46/y + (2*t^7.62)/y + t^7.9/y + t^7.98/y + (2*t^8.07)/y + (2*t^8.15)/y + (2*t^8.23)/y + (2*t^8.31)/y + (2*t^8.39)/y + t^8.48/y - t^8.59/y + (2*t^8.75)/y + (2*t^8.84)/y + (4*t^8.92)/y - t^4.46*y - t^6.52*y + t^7.46*y + 2*t^7.62*y + t^7.9*y + t^7.98*y + 2*t^8.07*y + 2*t^8.15*y + 2*t^8.23*y + 2*t^8.31*y + 2*t^8.39*y + t^8.48*y - t^8.59*y + 2*t^8.75*y + 2*t^8.84*y + 4*t^8.92*y | t^2.07/g1^9 + t^2.23/g1 + g1^7*t^2.39 + t^2.84/g1^8 + t^2.92/g1^4 + t^3. + g1^4*t^3.08 + t^3.69/g1^3 + g1*t^3.77 + g1^5*t^3.85 + t^4.13/g1^18 + t^4.29/g1^10 + (3*t^4.46)/g1^2 + 2*g1^6*t^4.62 + 2*g1^14*t^4.79 + t^4.9/g1^17 + t^4.98/g1^13 + t^5.07/g1^9 + (2*t^5.15)/g1^5 + t^5.23/g1 + 2*g1^3*t^5.31 + g1^7*t^5.39 + g1^11*t^5.48 + t^5.67/g1^16 + (2*t^5.75)/g1^12 + (2*t^5.84)/g1^8 + (3*t^5.92)/g1^4 - t^6. + 2*g1^4*t^6.08 + t^6.2/g1^27 + g1^12*t^6.25 + t^6.36/g1^19 + (3*t^6.52)/g1^11 + t^6.61/g1^7 + (4*t^6.69)/g1^3 + 4*g1^5*t^6.85 - g1^9*t^6.93 + t^6.97/g1^26 + 2*g1^13*t^7.02 + t^7.05/g1^22 + t^7.13/g1^18 + 2*g1^21*t^7.18 + (2*t^7.21)/g1^14 + t^7.29/g1^10 + (4*t^7.38)/g1^6 + t^7.46/g1^2 + 3*g1^2*t^7.54 + g1^6*t^7.62 + 3*g1^10*t^7.71 + t^7.74/g1^25 + g1^14*t^7.79 + (2*t^7.82)/g1^21 + g1^18*t^7.87 + (2*t^7.9)/g1^17 + (3*t^7.98)/g1^13 - t^8.07/g1^9 + (4*t^8.15)/g1^5 - t^8.23/g1 + t^8.26/g1^36 + 3*g1^3*t^8.31 - 3*g1^7*t^8.39 + t^8.43/g1^28 + 2*g1^11*t^8.48 + t^8.51/g1^24 + (4*t^8.59)/g1^20 + 2*g1^19*t^8.64 + (3*t^8.67)/g1^16 + (5*t^8.75)/g1^12 - t^8.84/g1^8 + (3*t^8.92)/g1^4 - t^4.46/(g1^2*y) - t^6.52/(g1^11*y) + t^7.46/(g1^2*y) + (2*g1^6*t^7.62)/y + t^7.9/(g1^17*y) + t^7.98/(g1^13*y) + (2*t^8.07)/(g1^9*y) + (2*t^8.15)/(g1^5*y) + (2*t^8.23)/(g1*y) + (2*g1^3*t^8.31)/y + (2*g1^7*t^8.39)/y + (g1^11*t^8.48)/y - t^8.59/(g1^20*y) + (2*t^8.75)/(g1^12*y) + (2*t^8.84)/(g1^8*y) + (4*t^8.92)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.52*y)/g1^11 + (t^7.46*y)/g1^2 + 2*g1^6*t^7.62*y + (t^7.9*y)/g1^17 + (t^7.98*y)/g1^13 + (2*t^8.07*y)/g1^9 + (2*t^8.15*y)/g1^5 + (2*t^8.23*y)/g1 + 2*g1^3*t^8.31*y + 2*g1^7*t^8.39*y + g1^11*t^8.48*y - (t^8.59*y)/g1^20 + (2*t^8.75*y)/g1^12 + (2*t^8.84*y)/g1^8 + (4*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 3064 | $M_1q_1q_2$ + $ 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_3M_7$ | 0.6053 | 0.7765 | 0.7795 | [X:[], M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | t^2.19 + t^2.24 + t^2.29 + t^2.98 + t^3. + t^3.02 + t^3.05 + t^3.73 + t^3.76 + t^3.78 + t^4.39 + t^4.44 + 3*t^4.49 + 2*t^4.54 + 2*t^4.59 + t^5.17 + 2*t^5.22 + t^5.24 + 2*t^5.27 + 2*t^5.29 + t^5.32 + t^5.34 + t^5.93 + t^5.95 + 2*t^5.98 - t^6. - t^4.49/y - t^4.49*y | detail | |
| 3065 | $M_1q_1q_2$ + $ 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 | |
| 3063 | $M_1q_1q_2$ + $ 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_7\phi_1q_1\tilde{q}_1$ | 0.6268 | 0.8143 | 0.7698 | [X:[], M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 0.7678], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | t^2.09 + t^2.23 + t^2.3 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.77 + t^3.84 + t^4.18 + t^4.32 + t^4.39 + 3*t^4.46 + t^4.54 + 3*t^4.61 + t^4.68 + 2*t^4.75 + t^4.95 + t^5.02 + t^5.09 + 3*t^5.16 + 2*t^5.23 + 3*t^5.3 + 2*t^5.37 + t^5.45 + t^5.72 + t^5.79 + 2*t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 3067 | $M_1q_1q_2$ + $ 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_7\phi_1q_1\tilde{q}_2$ | 0.6289 | 0.8202 | 0.7668 | [X:[], M:[1.0, 1.0304, 0.9392, 1.2576, 0.6816, 0.7424, 0.712], q:[0.2424, 0.7576], qb:[0.5, 0.5608], phi:[0.4848]] | t^2.04 + t^2.14 + t^2.23 + t^2.41 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^3.68 + t^3.77 + t^4.09 + t^4.18 + 2*t^4.27 + t^4.36 + 3*t^4.45 + t^4.55 + 2*t^4.64 + 2*t^4.82 + t^4.86 + 2*t^4.95 + 2*t^5.04 + 3*t^5.14 + 2*t^5.23 + 2*t^5.32 + t^5.41 + t^5.5 + t^5.64 + 2*t^5.73 + 3*t^5.82 + 3*t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 3066 | $M_1q_1q_2$ + $ 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_7\phi_1q_1^2$ | 0.6065 | 0.7781 | 0.7795 | [X:[], M:[1.0, 1.0179, 0.9643, 1.2545, 0.7098, 0.7455, 1.0179], q:[0.2455, 0.7545], qb:[0.5, 0.5357], phi:[0.4911]] | t^2.13 + t^2.24 + t^2.34 + t^2.89 + t^3. + 2*t^3.05 + t^3.71 + t^3.76 + t^3.82 + t^4.26 + t^4.37 + 3*t^4.47 + 2*t^4.58 + 2*t^4.69 + t^5.02 + t^5.13 + 2*t^5.18 + t^5.24 + 2*t^5.29 + t^5.34 + 2*t^5.4 + t^5.79 + t^5.84 + t^5.89 + 3*t^5.95 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 834 | 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$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail |