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 |
|---|---|---|---|---|---|---|---|---|---|
| 214 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ q_2^2\tilde{q}_1^2$ | 0.5536 | 0.7057 | 0.7845 | [X:[], M:[1.0, 0.7344], q:[0.7832, 0.2168], qb:[0.7832, 0.4824], phi:[0.4336]] | [X:[], M:[[0], [-8]], q:[[1], [-1]], qb:[[1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^3q_2\tilde{q}_2$, $ \phi_1^2q_2^3\tilde{q}_2$ | 2 | t^2.1 + t^2.2 + 2*t^2.6 + 2*t^3. + t^3.4 + t^3.8 + 2*t^4.2 + t^4.3 + t^4.41 + 3*t^4.7 + 2*t^4.8 + 2*t^5.1 + 4*t^5.2 + t^5.5 + 3*t^5.6 + t^5.89 + 2*t^6. + 2*t^6.29 + 2*t^6.4 + t^6.61 + 4*t^6.8 + t^6.9 + 2*t^7.01 + 3*t^7.2 + 3*t^7.3 + 4*t^7.41 + 2*t^7.59 + t^7.7 + 5*t^7.8 + 2*t^7.99 + 2*t^8.2 + 3*t^8.39 + t^8.5 + t^8.81 + 4*t^8.89 - t^4.3/y - t^6.5/y - t^6.9/y + t^7.3/y + (3*t^7.7)/y + (2*t^7.8)/y + (3*t^8.1)/y + (3*t^8.2)/y + t^8.5/y + (5*t^8.6)/y - t^8.71/y + t^8.89/y - t^4.3*y - t^6.5*y - t^6.9*y + t^7.3*y + 3*t^7.7*y + 2*t^7.8*y + 3*t^8.1*y + 3*t^8.2*y + t^8.5*y + 5*t^8.6*y - t^8.71*y + t^8.89*y | g1^6*t^2.1 + t^2.2/g1^8 + (2*t^2.6)/g1^4 + 2*t^3. + g1^4*t^3.4 + g1^8*t^3.8 + 2*g1^12*t^4.2 + t^4.3/g1^2 + t^4.41/g1^16 + 3*g1^2*t^4.7 + (2*t^4.8)/g1^12 + 2*g1^6*t^5.1 + (4*t^5.2)/g1^8 + g1^10*t^5.5 + (3*t^5.6)/g1^4 + g1^14*t^5.89 + 2*t^6. + 2*g1^18*t^6.29 + 2*g1^4*t^6.4 + t^6.61/g1^24 + 4*g1^8*t^6.8 + t^6.9/g1^6 + (2*t^7.01)/g1^20 + 3*g1^12*t^7.2 + (3*t^7.3)/g1^2 + (4*t^7.41)/g1^16 + 2*g1^16*t^7.59 + g1^2*t^7.7 + (5*t^7.8)/g1^12 + 2*g1^20*t^7.99 + (2*t^8.2)/g1^8 + 3*g1^24*t^8.39 + g1^10*t^8.5 + t^8.81/g1^32 + 4*g1^14*t^8.89 - t^4.3/(g1^2*y) - t^6.5/(g1^10*y) - t^6.9/(g1^6*y) + t^7.3/(g1^2*y) + (3*g1^2*t^7.7)/y + (2*t^7.8)/(g1^12*y) + (3*g1^6*t^8.1)/y + (3*t^8.2)/(g1^8*y) + (g1^10*t^8.5)/y + (5*t^8.6)/(g1^4*y) - t^8.71/(g1^18*y) + (g1^14*t^8.89)/y - (t^4.3*y)/g1^2 - (t^6.5*y)/g1^10 - (t^6.9*y)/g1^6 + (t^7.3*y)/g1^2 + 3*g1^2*t^7.7*y + (2*t^7.8*y)/g1^12 + 3*g1^6*t^8.1*y + (3*t^8.2*y)/g1^8 + g1^10*t^8.5*y + (5*t^8.6*y)/g1^4 - (t^8.71*y)/g1^18 + g1^14*t^8.89*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 342 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.5658 | 0.7265 | 0.7788 | [X:[], M:[1.0, 0.7154, 0.8577], q:[0.7856, 0.2144], qb:[0.7856, 0.499], phi:[0.4289]] | t^2.14 + t^2.15 + 3*t^2.57 + 2*t^3. + t^3.85 + 2*t^4.28 + 2*t^4.29 + 4*t^4.71 + 3*t^4.72 + 2*t^5.14 + 7*t^5.15 + 4*t^5.57 + t^5.99 - t^4.29/y - t^4.29*y | detail | |
| 376 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ q_1q_2\tilde{q}_2^2$ | 0.5532 | 0.705 | 0.7847 | [X:[], M:[1.0, 0.7143], q:[0.7857, 0.2143], qb:[0.7857, 0.5], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 5*t^4.71 + 6*t^5.14 + 4*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 759/1372, c: 3869/5488, M1: 1, M2: 5/7, q1: 11/14, q2: 3/14, qb1: 11/14, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 130 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ | 0.5943 | 0.7486 | 0.7938 | [X:[], M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]] | 2*t^2.39 + t^2.64 + 2*t^2.82 + t^3. + 2*t^3.8 + 2*t^3.98 + 6*t^4.77 + 4*t^5.2 + t^5.27 + 2*t^5.39 + 2*t^5.45 + 4*t^5.64 + t^5.82 - 5*t^6. - t^4.41/y - t^4.41*y | detail |