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 |
|---|---|---|---|---|---|---|---|---|---|
| 55566 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6552 | 0.8231 | 0.7959 | [X:[1.5625], M:[0.4375, 1.1875, 0.7812, 0.8751, 0.8125, 0.6874], q:[0.7969, 0.7656], qb:[0.4532, 0.3593], phi:[0.4063]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.06 + t^2.34 + 2*t^2.44 + t^2.63 + t^3.37 + t^3.47 + t^3.66 + t^3.75 + t^4.12 + t^4.41 + 2*t^4.5 + t^4.59 + 3*t^4.69 + t^4.78 + 4*t^4.88 + t^4.97 + t^5.06 + t^5.25 + t^5.44 + t^5.53 + t^5.72 + 5*t^5.81 + t^5.91 - 2*t^6. + 3*t^6.09 + 2*t^6.19 - t^6.28 + t^6.38 + t^6.47 + 2*t^6.56 + t^6.66 + 4*t^6.75 + 2*t^6.84 + 3*t^6.94 + 4*t^7.03 + 3*t^7.12 + 7*t^7.31 + t^7.41 + 2*t^7.5 + 2*t^7.59 + t^7.69 + t^7.78 + 5*t^7.87 + t^7.88 + 2*t^7.97 - t^8.06 + 3*t^8.16 + 6*t^8.25 - t^8.34 - 3*t^8.44 + 3*t^8.53 + 2*t^8.62 - 2*t^8.63 + 4*t^8.81 + t^8.91 - t^4.22/y - t^6.28/y - t^6.56/y - t^6.66/y - t^6.84/y + t^7.41/y + (2*t^7.5)/y + t^7.59/y + t^7.69/y + (3*t^7.78)/y + (2*t^7.88)/y + t^7.97/y + (2*t^8.06)/y + t^8.16/y - t^8.34/y + t^8.44/y + t^8.53/y - t^8.62/y + t^8.72/y + (4*t^8.81)/y - t^4.22*y - t^6.28*y - t^6.56*y - t^6.66*y - t^6.84*y + t^7.41*y + 2*t^7.5*y + t^7.59*y + t^7.69*y + 3*t^7.78*y + 2*t^7.88*y + t^7.97*y + 2*t^8.06*y + t^8.16*y - t^8.34*y + t^8.44*y + t^8.53*y - t^8.62*y + t^8.72*y + 4*t^8.81*y | g1^36*t^2.06 + g1^6*t^2.34 + (2*t^2.44)/g1^4 + t^2.63/g1^24 + g1^24*t^3.37 + g1^14*t^3.47 + t^3.66/g1^6 + t^3.75/g1^16 + g1^72*t^4.12 + g1^42*t^4.41 + 2*g1^32*t^4.5 + g1^22*t^4.59 + 3*g1^12*t^4.69 + g1^2*t^4.78 + (4*t^4.88)/g1^8 + t^4.97/g1^18 + t^5.06/g1^28 + t^5.25/g1^48 + g1^60*t^5.44 + g1^50*t^5.53 + g1^30*t^5.72 + 5*g1^20*t^5.81 + g1^10*t^5.91 - 2*t^6. + (3*t^6.09)/g1^10 + t^6.19/g1^20 + g1^108*t^6.19 - t^6.28/g1^30 + t^6.38/g1^40 + g1^78*t^6.47 + 2*g1^68*t^6.56 + g1^58*t^6.66 + 4*g1^48*t^6.75 + 2*g1^38*t^6.84 + 3*g1^28*t^6.94 + 4*g1^18*t^7.03 + 3*g1^8*t^7.12 + (7*t^7.31)/g1^12 + t^7.41/g1^22 + t^7.5/g1^32 + g1^96*t^7.5 + t^7.59/g1^42 + g1^86*t^7.59 + t^7.69/g1^52 + g1^66*t^7.78 + 5*g1^56*t^7.87 + t^7.88/g1^72 + 2*g1^46*t^7.97 - g1^36*t^8.06 + 3*g1^26*t^8.16 + 5*g1^16*t^8.25 + g1^144*t^8.25 - g1^6*t^8.34 - (3*t^8.44)/g1^4 + (2*t^8.53)/g1^14 + g1^114*t^8.53 + 2*g1^104*t^8.62 - (2*t^8.63)/g1^24 - t^8.72/g1^34 + g1^94*t^8.72 + 4*g1^84*t^8.81 - t^8.91/g1^54 + 2*g1^74*t^8.91 - t^4.22/(g1^2*y) - (g1^34*t^6.28)/y - (g1^4*t^6.56)/y - t^6.66/(g1^6*y) - t^6.84/(g1^26*y) + (g1^42*t^7.41)/y + (2*g1^32*t^7.5)/y + (g1^22*t^7.59)/y + (g1^12*t^7.69)/y + (3*g1^2*t^7.78)/y + (2*t^7.88)/(g1^8*y) + t^7.97/(g1^18*y) + (2*t^8.06)/(g1^28*y) + t^8.16/(g1^38*y) - (g1^70*t^8.34)/y + (g1^60*t^8.44)/y + (g1^50*t^8.53)/y - (g1^40*t^8.62)/y + (g1^30*t^8.72)/y + (4*g1^20*t^8.81)/y - (t^4.22*y)/g1^2 - g1^34*t^6.28*y - g1^4*t^6.56*y - (t^6.66*y)/g1^6 - (t^6.84*y)/g1^26 + g1^42*t^7.41*y + 2*g1^32*t^7.5*y + g1^22*t^7.59*y + g1^12*t^7.69*y + 3*g1^2*t^7.78*y + (2*t^7.88*y)/g1^8 + (t^7.97*y)/g1^18 + (2*t^8.06*y)/g1^28 + (t^8.16*y)/g1^38 - g1^70*t^8.34*y + g1^60*t^8.44*y + g1^50*t^8.53*y - g1^40*t^8.62*y + g1^30*t^8.72*y + 4*g1^20*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 |
|---|---|---|---|---|---|---|---|---|
| 57141 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3M_6$ + $ M_4X_2$ | 0.5083 | 0.6273 | 0.8102 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 0.7619, 1.1429], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | 2*t^2.29 + t^2.57 + t^3.14 + 2*t^3.43 + 2*t^4.29 + 4*t^4.57 + t^4.86 + 2*t^5.43 + 4*t^5.71 - 2*t^6. - t^4.14/y - t^4.14*y | detail | {a: 523/1029, c: 1291/2058, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 16/21, M6: 8/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| 57142 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_2$ | 0.6673 | 0.8428 | 0.7917 | [X:[1.5745], M:[0.4255, 1.1915, 0.7872, 0.8511, 0.8085, 0.7234, 0.8511], q:[0.7979, 0.7766], qb:[0.4362, 0.3723], phi:[0.4043]] | t^2.17 + t^2.36 + 2*t^2.43 + 2*t^2.55 + t^3.51 + t^3.64 + t^3.7 + t^4.34 + t^4.53 + 2*t^4.6 + t^4.66 + 4*t^4.72 + t^4.79 + 4*t^4.85 + 2*t^4.91 + 3*t^4.98 + 3*t^5.11 + t^5.68 + 3*t^5.87 + t^5.94 - 3*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48132 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ | 0.6345 | 0.7831 | 0.8102 | [X:[1.5667], M:[0.4333, 1.1889, 0.7834, 0.8665, 0.8111], q:[0.7972, 0.7695], qb:[0.4471, 0.364], phi:[0.4055]] | t^2.35 + 2*t^2.43 + t^2.6 + t^3.4 + t^3.48 + t^3.65 + t^3.73 + t^3.9 + t^4.62 + 2*t^4.7 + t^4.78 + 4*t^4.87 + t^4.95 + t^5.03 + t^5.2 + 4*t^5.83 + t^5.92 - 2*t^6. - t^4.22/y - t^4.22*y | detail |