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 |
|---|---|---|---|---|---|---|---|---|---|
| 46165 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_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]] | [X:[], M:[[-12], [4], [-12]], 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$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_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$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_3$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$ | . | -1 | 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^6.09 + 6*t^6.19 + 2*t^6.31 + 2*t^6.41 + t^6.53 + 3*t^6.62 + t^6.72 + 4*t^6.81 + t^6.94 + 4*t^7.03 + 3*t^7.13 + t^7.15 + t^7.25 + 5*t^7.44 + t^7.47 + t^7.66 + 4*t^7.75 + 2*t^7.85 + 2*t^7.87 - t^8.06 + 2*t^8.16 + 9*t^8.25 + 3*t^8.38 + 3*t^8.47 + t^8.5 + t^8.59 + 3*t^8.69 + t^8.72 + t^8.78 + t^8.81 + 6*t^8.88 - 2*t^8.91 - t^4.34/y - (2*t^6.41)/y + t^7.13/y + (2*t^7.75)/y + (2*t^7.97)/y + (2*t^8.06)/y + (2*t^8.28)/y + (2*t^8.38)/y - (3*t^8.47)/y + t^8.59/y + (3*t^8.69)/y + (2*t^8.78)/y + t^8.91/y - t^4.34*y - 2*t^6.41*y + t^7.13*y + 2*t^7.75*y + 2*t^7.97*y + 2*t^8.06*y + 2*t^8.28*y + 2*t^8.38*y - 3*t^8.47*y + t^8.59*y + 3*t^8.69*y + 2*t^8.78*y + t^8.91*y | (2*t^2.06)/g1^12 + t^2.69/g1^4 + g1^18*t^2.91 + t^3. + g1^4*t^3.31 + g1^8*t^3.62 + t^3.72/g1^10 + t^4.03/g1^6 + (4*t^4.13)/g1^24 + g1^16*t^4.25 + t^4.34/g1^2 + g1^20*t^4.56 + (2*t^4.75)/g1^16 + 2*g1^6*t^4.97 + (2*t^5.06)/g1^12 + (3*t^5.38)/g1^8 + g1^14*t^5.59 + (2*t^5.69)/g1^4 + t^5.78/g1^22 + g1^36*t^5.81 - t^6. + t^6.09/g1^18 + (6*t^6.19)/g1^36 + 2*g1^4*t^6.31 + (2*t^6.41)/g1^14 + g1^26*t^6.53 + 3*g1^8*t^6.62 + t^6.72/g1^10 + (4*t^6.81)/g1^28 + g1^12*t^6.94 + (4*t^7.03)/g1^6 + (3*t^7.13)/g1^24 + g1^34*t^7.15 + g1^16*t^7.25 + (5*t^7.44)/g1^20 + g1^38*t^7.47 + g1^2*t^7.66 + (4*t^7.75)/g1^16 + (2*t^7.85)/g1^34 + 2*g1^24*t^7.87 - t^8.06/g1^12 + (2*t^8.16)/g1^30 + (9*t^8.25)/g1^48 + (3*t^8.38)/g1^8 + (3*t^8.47)/g1^26 + g1^32*t^8.5 + g1^14*t^8.59 + (3*t^8.69)/g1^4 + g1^54*t^8.72 + t^8.78/g1^22 + g1^36*t^8.81 + (6*t^8.88)/g1^40 - 2*g1^18*t^8.91 - t^4.34/(g1^2*y) - (2*t^6.41)/(g1^14*y) + t^7.13/(g1^24*y) + (2*t^7.75)/(g1^16*y) + (2*g1^6*t^7.97)/y + (2*t^8.06)/(g1^12*y) + (2*g1^10*t^8.28)/y + (2*t^8.38)/(g1^8*y) - (3*t^8.47)/(g1^26*y) + (g1^14*t^8.59)/y + (3*t^8.69)/(g1^4*y) + (2*t^8.78)/(g1^22*y) + (g1^18*t^8.91)/y - (t^4.34*y)/g1^2 - (2*t^6.41*y)/g1^14 + (t^7.13*y)/g1^24 + (2*t^7.75*y)/g1^16 + 2*g1^6*t^7.97*y + (2*t^8.06*y)/g1^12 + 2*g1^10*t^8.28*y + (2*t^8.38*y)/g1^8 - (3*t^8.47*y)/g1^26 + g1^14*t^8.59*y + (3*t^8.69*y)/g1^4 + (2*t^8.78*y)/g1^22 + g1^18*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 46489 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_2M_4$ | 0.7011 | 0.8806 | 0.7962 | [X:[], M:[0.6816, 1.1061, 0.6816, 0.8939], q:[0.7765, 0.5419], qb:[0.4581, 0.4358], phi:[0.4469]] | 2*t^2.04 + 2*t^2.68 + t^2.93 + t^3. + t^3.64 + t^3.7 + t^4.02 + 4*t^4.09 + t^4.27 + t^4.34 + t^4.59 + 4*t^4.73 + 2*t^4.98 + 2*t^5.04 + 3*t^5.36 + 2*t^5.61 + 3*t^5.68 + t^5.75 + t^5.87 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 46706 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_3q_1\tilde{q}_1$ | 0.688 | 0.8585 | 0.8014 | [X:[], M:[0.7273, 1.0909, 0.7273], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 2*t^2.18 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + t^3.82 + 2*t^4.09 + 6*t^4.36 + 4*t^4.91 + 2*t^5.18 + 5*t^5.45 + 2*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 333/484, c: 831/968, M1: 8/11, M2: 12/11, M3: 8/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| 46657 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1^2$ | 0.6822 | 0.8481 | 0.8045 | [X:[], M:[0.6938, 1.1021, 0.6938, 1.1021], q:[0.7755, 0.5307], qb:[0.4693, 0.4286], phi:[0.449]] | 2*t^2.08 + t^2.88 + t^3. + 2*t^3.31 + t^3.61 + t^3.73 + t^4.04 + 4*t^4.16 + t^4.22 + t^4.35 + t^4.53 + 2*t^4.96 + 2*t^5.08 + 4*t^5.39 + t^5.69 + t^5.76 + t^5.82 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 46628 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_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]] | 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. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46071 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ | 0.6709 | 0.8239 | 0.8143 | [X:[], M:[0.6905, 1.1032], q:[0.7758, 0.5338], qb:[0.4662, 0.4306], phi:[0.4484]] | t^2.07 + t^2.69 + t^2.89 + t^3. + t^3.31 + t^3.62 + t^3.73 + t^3.93 + t^4.04 + 2*t^4.14 + t^4.24 + t^4.35 + t^4.55 + t^4.76 + t^4.96 + t^5.07 + 2*t^5.38 + t^5.58 + t^5.69 + t^5.79 - t^4.35/y - t^4.35*y | detail |