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 |
|---|---|---|---|---|---|---|---|---|---|
| 2401 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6196 | 0.8021 | 0.7724 | [X:[], M:[1.0, 0.8407, 0.6991, 0.7611, 1.1593, 1.2389, 0.6815], q:[0.7699, 0.2301], qb:[0.6106, 0.5486], phi:[0.4602]] | [X:[], M:[[0], [-8], [10], [-12], [8], [12], [-16]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ M_5$, $ M_6$, $ M_7^2$, $ M_3M_7$, $ q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_7\phi_1^2$, $ M_7\phi_1q_2^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_7$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_3M_6$, $ M_5q_2\tilde{q}_2$ | . | -2 | t^2.04 + t^2.1 + t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^4.09 + 2*t^4.14 + t^4.19 + t^4.38 + t^4.43 + t^4.57 + t^4.62 + 2*t^4.67 + 2*t^4.81 + 3*t^4.86 + 2*t^5.04 + 3*t^5.1 + 2*t^5.28 + t^5.34 + 5*t^5.52 + t^5.58 + 2*t^5.76 + t^5.81 - 2*t^6. + t^6.05 + t^6.13 + t^6.19 + 3*t^6.24 + t^6.29 + 3*t^6.48 + t^6.53 + t^6.61 + t^6.66 + 2*t^6.72 + 2*t^6.77 + 2*t^6.85 + 3*t^6.9 + 2*t^6.96 + 2*t^7.01 + 2*t^7.09 + 3*t^7.14 + 4*t^7.19 + 2*t^7.33 + t^7.38 + 5*t^7.43 + 5*t^7.57 + 5*t^7.62 + 2*t^7.67 + 3*t^7.81 + 5*t^7.86 + t^8.04 - t^8.1 + 2*t^8.15 + t^8.18 + t^8.23 + 7*t^8.28 + 3*t^8.39 + t^8.58 + t^8.63 + t^8.66 + t^8.71 - 5*t^8.76 + 4*t^8.81 + 2*t^8.87 + 2*t^8.89 + t^8.95 - t^4.38/y - t^6.42/y - t^6.48/y + t^7.38/y + t^7.43/y + t^7.57/y + (2*t^7.62)/y + (2*t^7.81)/y + (3*t^7.86)/y + t^8.04/y + (3*t^8.1)/y + (3*t^8.28)/y + (2*t^8.34)/y - t^8.47/y + (2*t^8.52)/y + (3*t^8.76)/y + (2*t^8.81)/y - t^4.38*y - t^6.42*y - t^6.48*y + t^7.38*y + t^7.43*y + t^7.57*y + 2*t^7.62*y + 2*t^7.81*y + 3*t^7.86*y + t^8.04*y + 3*t^8.1*y + 3*t^8.28*y + 2*t^8.34*y - t^8.47*y + 2*t^8.52*y + 3*t^8.76*y + 2*t^8.81*y | t^2.04/g1^16 + g1^10*t^2.1 + g1^14*t^2.34 + t^2.52/g1^8 + (2*t^2.76)/g1^4 + t^3. + g1^8*t^3.48 + g1^12*t^3.72 + t^4.09/g1^32 + (2*t^4.14)/g1^6 + g1^20*t^4.19 + t^4.38/g1^2 + g1^24*t^4.43 + t^4.57/g1^24 + g1^2*t^4.62 + 2*g1^28*t^4.67 + (2*t^4.81)/g1^20 + 3*g1^6*t^4.86 + (2*t^5.04)/g1^16 + 3*g1^10*t^5.1 + (2*t^5.28)/g1^12 + g1^14*t^5.34 + (5*t^5.52)/g1^8 + g1^18*t^5.58 + (2*t^5.76)/g1^4 + g1^22*t^5.81 - 2*t^6. + g1^26*t^6.05 + t^6.13/g1^48 + t^6.19/g1^22 + 3*g1^4*t^6.24 + g1^30*t^6.29 + 3*g1^8*t^6.48 + g1^34*t^6.53 + t^6.61/g1^40 + t^6.66/g1^14 + 2*g1^12*t^6.72 + 2*g1^38*t^6.77 + (2*t^6.85)/g1^36 + (3*t^6.9)/g1^10 + 2*g1^16*t^6.96 + 2*g1^42*t^7.01 + (2*t^7.09)/g1^32 + (3*t^7.14)/g1^6 + 4*g1^20*t^7.19 + (2*t^7.33)/g1^28 + t^7.38/g1^2 + 5*g1^24*t^7.43 + (5*t^7.57)/g1^24 + 5*g1^2*t^7.62 + 2*g1^28*t^7.67 + (3*t^7.81)/g1^20 + 5*g1^6*t^7.86 + t^8.04/g1^16 - g1^10*t^8.1 + 2*g1^36*t^8.15 + t^8.18/g1^64 + t^8.23/g1^38 + (7*t^8.28)/g1^12 + 3*g1^40*t^8.39 + g1^18*t^8.58 + g1^44*t^8.63 + t^8.66/g1^56 + t^8.71/g1^30 - (5*t^8.76)/g1^4 + 4*g1^22*t^8.81 + 2*g1^48*t^8.87 + (2*t^8.89)/g1^52 + t^8.95/g1^26 - t^4.38/(g1^2*y) - t^6.42/(g1^18*y) - (g1^8*t^6.48)/y + t^7.38/(g1^2*y) + (g1^24*t^7.43)/y + t^7.57/(g1^24*y) + (2*g1^2*t^7.62)/y + (2*t^7.81)/(g1^20*y) + (3*g1^6*t^7.86)/y + t^8.04/(g1^16*y) + (3*g1^10*t^8.1)/y + (3*t^8.28)/(g1^12*y) + (2*g1^14*t^8.34)/y - t^8.47/(g1^34*y) + (2*t^8.52)/(g1^8*y) + (3*t^8.76)/(g1^4*y) + (2*g1^22*t^8.81)/y - (t^4.38*y)/g1^2 - (t^6.42*y)/g1^18 - g1^8*t^6.48*y + (t^7.38*y)/g1^2 + g1^24*t^7.43*y + (t^7.57*y)/g1^24 + 2*g1^2*t^7.62*y + (2*t^7.81*y)/g1^20 + 3*g1^6*t^7.86*y + (t^8.04*y)/g1^16 + 3*g1^10*t^8.1*y + (3*t^8.28*y)/g1^12 + 2*g1^14*t^8.34*y - (t^8.47*y)/g1^34 + (2*t^8.52*y)/g1^8 + (3*t^8.76*y)/g1^4 + 2*g1^22*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 4445 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_7X_1$ | 0.5966 | 0.7557 | 0.7895 | [X:[1.3636], M:[1.0, 0.8182, 0.7273, 0.7273, 1.1818, 1.2727, 0.6364], q:[0.7727, 0.2273], qb:[0.5909, 0.5909], phi:[0.4545]] | t^2.18 + 2*t^2.45 + 2*t^2.73 + t^3. + t^3.55 + t^3.82 + 2*t^4.09 + t^4.36 + 2*t^4.64 + 6*t^4.91 + 5*t^5.18 + 5*t^5.45 + 2*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 105/176, c: 133/176, X1: 15/11, M1: 1, M2: 9/11, M3: 8/11, M4: 8/11, M5: 13/11, M6: 14/11, M7: 7/11, q1: 17/22, q2: 5/22, qb1: 13/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1360 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.5988 | 0.7618 | 0.7861 | [X:[], M:[1.0, 0.8429, 0.6963, 0.7644, 1.1571, 1.2356], q:[0.7696, 0.2304], qb:[0.6126, 0.5445], phi:[0.4607]] | t^2.09 + t^2.32 + t^2.53 + 2*t^2.76 + t^3. + t^3.47 + t^3.71 + t^3.94 + t^4.15 + t^4.18 + t^4.41 + t^4.62 + 2*t^4.65 + 3*t^4.85 + t^5.06 + 3*t^5.09 + 2*t^5.29 + t^5.32 + 4*t^5.53 + t^5.56 + t^5.76 + t^5.8 - 2*t^6. - t^4.38/y - t^4.38*y | detail |