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 |
|---|---|---|---|---|---|---|---|---|---|
| 1804 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_2$ | 0.7087 | 0.895 | 0.7919 | [X:[], M:[0.6797, 1.1068, 0.6797, 0.7864], q:[0.7767, 0.5436], qb:[0.4564, 0.4369], phi:[0.4466]] | [X:[], M:[[-12], [4], [-12], [-8]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ M_4$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ M_1M_2$, $ M_2M_3$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$ | . | -1 | 2*t^2.04 + t^2.36 + t^2.68 + t^2.94 + t^3. + t^3.32 + t^3.7 + t^4.02 + 4*t^4.08 + t^4.28 + t^4.34 + 2*t^4.4 + t^4.6 + 3*t^4.72 + 2*t^4.98 + 3*t^5.04 + t^5.3 + 4*t^5.36 + t^5.62 + t^5.68 + t^5.74 + t^5.88 - t^6. + 2*t^6.06 + 6*t^6.12 + t^6.32 + 3*t^6.38 + 4*t^6.44 + 3*t^6.64 + 2*t^6.7 + 6*t^6.76 + t^6.96 + 4*t^7.02 + 6*t^7.08 + t^7.22 + t^7.34 + 8*t^7.4 + t^7.54 + t^7.66 + 4*t^7.72 + 2*t^7.78 + t^7.92 + 3*t^8.1 + 9*t^8.16 + 5*t^8.42 + 6*t^8.48 + t^8.56 - t^8.62 + 2*t^8.68 + 4*t^8.74 + 10*t^8.8 + t^8.82 + t^8.88 - 2*t^8.94 - t^4.34/y - (2*t^6.38)/y - t^6.7/y + t^7.08/y + (2*t^7.4)/y + (2*t^7.72)/y + (3*t^7.98)/y + (3*t^8.04)/y + (3*t^8.3)/y + (3*t^8.36)/y - (3*t^8.42)/y + t^8.62/y + (2*t^8.68)/y + t^8.94/y - t^4.34*y - 2*t^6.38*y - t^6.7*y + t^7.08*y + 2*t^7.4*y + 2*t^7.72*y + 3*t^7.98*y + 3*t^8.04*y + 3*t^8.3*y + 3*t^8.36*y - 3*t^8.42*y + t^8.62*y + 2*t^8.68*y + t^8.94*y | (2*t^2.04)/g1^12 + t^2.36/g1^8 + t^2.68/g1^4 + g1^18*t^2.94 + t^3. + g1^4*t^3.32 + t^3.7/g1^10 + t^4.02/g1^6 + (4*t^4.08)/g1^24 + g1^16*t^4.28 + t^4.34/g1^2 + (2*t^4.4)/g1^20 + g1^20*t^4.6 + (3*t^4.72)/g1^16 + 2*g1^6*t^4.98 + (3*t^5.04)/g1^12 + g1^10*t^5.3 + (4*t^5.36)/g1^8 + g1^14*t^5.62 + t^5.68/g1^4 + t^5.74/g1^22 + g1^36*t^5.88 - t^6. + (2*t^6.06)/g1^18 + (6*t^6.12)/g1^36 + g1^4*t^6.32 + (3*t^6.38)/g1^14 + (4*t^6.44)/g1^32 + 3*g1^8*t^6.64 + (2*t^6.7)/g1^10 + (6*t^6.76)/g1^28 + g1^12*t^6.96 + (4*t^7.02)/g1^6 + (6*t^7.08)/g1^24 + g1^34*t^7.22 + t^7.34/g1^2 + (8*t^7.4)/g1^20 + g1^38*t^7.54 + g1^2*t^7.66 + (4*t^7.72)/g1^16 + (2*t^7.78)/g1^34 + g1^24*t^7.92 + (3*t^8.1)/g1^30 + (9*t^8.16)/g1^48 + (5*t^8.42)/g1^26 + (6*t^8.48)/g1^44 + g1^32*t^8.56 - g1^14*t^8.62 + (2*t^8.68)/g1^4 + (4*t^8.74)/g1^22 + (10*t^8.8)/g1^40 + g1^54*t^8.82 + g1^36*t^8.88 - 2*g1^18*t^8.94 - t^4.34/(g1^2*y) - (2*t^6.38)/(g1^14*y) - t^6.7/(g1^10*y) + t^7.08/(g1^24*y) + (2*t^7.4)/(g1^20*y) + (2*t^7.72)/(g1^16*y) + (3*g1^6*t^7.98)/y + (3*t^8.04)/(g1^12*y) + (3*g1^10*t^8.3)/y + (3*t^8.36)/(g1^8*y) - (3*t^8.42)/(g1^26*y) + (g1^14*t^8.62)/y + (2*t^8.68)/(g1^4*y) + (g1^18*t^8.94)/y - (t^4.34*y)/g1^2 - (2*t^6.38*y)/g1^14 - (t^6.7*y)/g1^10 + (t^7.08*y)/g1^24 + (2*t^7.4*y)/g1^20 + (2*t^7.72*y)/g1^16 + 3*g1^6*t^7.98*y + (3*t^8.04*y)/g1^12 + 3*g1^10*t^8.3*y + (3*t^8.36*y)/g1^8 - (3*t^8.42*y)/g1^26 + g1^14*t^8.62*y + (2*t^8.68*y)/g1^4 + g1^18*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 2818 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ | 0.7034 | 0.8852 | 0.7946 | [X:[], M:[0.7273, 1.0909, 0.7273, 0.8182], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 2*t^2.18 + t^2.45 + 2*t^2.73 + t^3. + t^3.27 + t^3.82 + 2*t^4.09 + 6*t^4.36 + 2*t^4.64 + 5*t^4.91 + 4*t^5.18 + 6*t^5.45 + t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 14979/21296, c: 18851/21296, M1: 8/11, M2: 12/11, M3: 8/11, M4: 9/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 353 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6876, 1.1041, 0.6876], q:[0.776, 0.5363], qb:[0.4637, 0.4322], phi:[0.4479]] | 2*t^2.06 + t^2.69 + t^2.91 + t^3. + t^3.31 + t^3.62 + t^3.72 + t^4.03 + 4*t^4.13 + t^4.25 + t^4.34 + t^4.56 + 2*t^4.75 + 2*t^4.97 + 2*t^5.06 + 3*t^5.38 + t^5.59 + 2*t^5.69 + t^5.78 + t^5.81 - t^6. - t^4.34/y - t^4.34*y | detail |