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 |
|---|---|---|---|---|---|---|---|---|---|
| 47060 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_2\phi_1^2$ | 0.7231 | 0.895 | 0.8079 | [X:[], M:[0.8566, 1.0717, 1.0, 0.7848, 0.9379, 0.9187], q:[0.4952, 0.6482], qb:[0.4331, 0.5669], phi:[0.4641]] | [X:[], M:[[-4, -4], [2, 2], [0, 0], [-6, -6], [2, -10], [-6, 6]], q:[[-2, 4], [6, 0]], qb:[[0, -6], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_1^2$, $ M_4\phi_1^2$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_1M_6$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_1M_5$, $ M_6^2$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_5^2$, $ M_1M_2$, $ M_3\phi_1^2$, $ M_2M_6$ | . | -2 | t^2.35 + t^2.57 + t^2.76 + t^2.78 + t^2.81 + t^3. + t^3.22 + t^3.99 + t^4.18 + t^4.36 + t^4.39 + t^4.58 + t^4.64 + t^4.71 + t^4.79 + t^4.82 + t^4.92 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.28 + t^5.33 + t^5.35 + t^5.38 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.78 + t^5.97 - 2*t^6. + t^6.03 - t^6.19 - t^6.24 + t^6.35 - t^6.4 - t^6.46 + t^6.53 + t^6.56 - t^6.65 + t^6.72 + 2*t^6.75 + t^6.78 + t^6.8 + 2*t^6.93 + 2*t^6.96 + 2*t^6.99 + t^7.06 + t^7.12 + 3*t^7.15 + 2*t^7.18 + t^7.21 + t^7.28 + t^7.33 + 2*t^7.36 + 2*t^7.39 + t^7.45 + t^7.46 + 2*t^7.49 + t^7.52 + t^7.55 + t^7.58 + t^7.61 + t^7.64 + t^7.68 + 2*t^7.71 + t^7.74 + t^7.79 - t^7.82 + t^7.85 + t^7.87 + t^7.9 + 4*t^7.92 + t^7.95 + 2*t^7.98 - t^8.01 + t^8.08 + t^8.1 + 3*t^8.14 + t^8.2 - t^8.22 + t^8.27 + 2*t^8.33 + 3*t^8.38 + t^8.44 - t^8.47 - 2*t^8.57 - t^8.6 + t^8.63 + t^8.7 + 2*t^8.73 - 4*t^8.76 - 4*t^8.81 + t^8.84 + t^8.89 + t^8.91 - 2*t^8.97 - t^4.39/y - t^6.75/y - t^6.96/y - t^7.15/y - t^7.21/y + t^7.58/y + t^7.64/y + t^7.82/y + t^7.92/y + t^8.04/y + t^8.11/y + t^8.14/y + t^8.17/y + t^8.33/y + (2*t^8.35)/y + t^8.38/y + t^8.54/y + (3*t^8.57)/y + t^8.6/y + t^8.76/y + (2*t^8.78)/y + t^8.81/y + t^8.97/y - t^4.39*y - t^6.75*y - t^6.96*y - t^7.15*y - t^7.21*y + t^7.58*y + t^7.64*y + t^7.82*y + t^7.92*y + t^8.04*y + t^8.11*y + t^8.14*y + t^8.17*y + t^8.33*y + 2*t^8.35*y + t^8.38*y + t^8.54*y + 3*t^8.57*y + t^8.6*y + t^8.76*y + 2*t^8.78*y + t^8.81*y + t^8.97*y | t^2.35/(g1^6*g2^6) + t^2.57/(g1^4*g2^4) + (g2^6*t^2.76)/g1^6 + t^2.78/(g1^2*g2^2) + (g1^2*t^2.81)/g2^10 + t^3. + g1^2*g2^2*t^3.22 + t^3.99/(g1*g2^13) + t^4.18/(g1^3*g2^3) + (g2^7*t^4.36)/g1^5 + t^4.39/(g1*g2) + (g2^9*t^4.58)/g1^3 + (g1^5*t^4.64)/g2^7 + t^4.71/(g1^12*g2^12) + (g2^11*t^4.79)/g1 + g1^3*g2^3*t^4.82 + t^4.92/(g1^10*g2^10) + g1^5*g2^5*t^5.04 + t^5.11/g1^12 + (2*t^5.14)/(g1^8*g2^8) + t^5.17/(g1^4*g2^16) + (g1^11*t^5.28)/g2 + (g2^2*t^5.33)/g1^10 + t^5.35/(g1^6*g2^6) + t^5.38/(g1^2*g2^14) + (g2^12*t^5.51)/g1^12 + (4*t^5.57)/(g1^4*g2^4) + (g1^4*t^5.63)/g2^20 + t^5.78/(g1^2*g2^2) + (g2^8*t^5.97)/g1^4 - 2*t^6. + (g1^4*t^6.03)/g2^8 - (g2^10*t^6.19)/g1^2 - (g1^6*t^6.24)/g2^6 + t^6.35/(g1^7*g2^19) - g2^12*t^6.4 - (g1^8*t^6.46)/g2^4 + t^6.53/(g1^9*g2^9) + t^6.56/(g1^5*g2^17) - g1^6*g2^6*t^6.65 + (g2*t^6.72)/g1^11 + (2*t^6.75)/(g1^7*g2^7) + t^6.78/(g1^3*g2^15) + (g1*t^6.8)/g2^23 + (2*g2^3*t^6.93)/g1^9 + (2*t^6.96)/(g1^5*g2^5) + (2*t^6.99)/(g1*g2^13) + t^7.06/(g1^18*g2^18) + (g2^13*t^7.12)/g1^11 + (3*g2^5*t^7.15)/g1^7 + (2*t^7.18)/(g1^3*g2^3) + (g1*t^7.21)/g2^11 + t^7.28/(g1^16*g2^16) + (g2^15*t^7.33)/g1^9 + (2*g2^7*t^7.36)/g1^5 + (2*t^7.39)/(g1*g2) + (g1^7*t^7.45)/g2^17 + t^7.46/(g1^18*g2^6) + (2*t^7.49)/(g1^14*g2^14) + t^7.52/(g1^10*g2^22) + (g2^17*t^7.55)/g1^7 + (g2^9*t^7.58)/g1^3 + g1*g2*t^7.61 + (g1^5*t^7.64)/g2^7 + t^7.68/(g1^16*g2^4) + (2*t^7.71)/(g1^12*g2^12) + t^7.74/(g1^8*g2^20) + (g2^11*t^7.79)/g1 - g1^3*g2^3*t^7.82 + (g1^7*t^7.85)/g2^5 + (g2^6*t^7.87)/g1^18 + t^7.9/(g1^14*g2^2) + (4*t^7.92)/(g1^10*g2^10) + t^7.95/(g1^6*g2^18) + (2*t^7.98)/(g1^2*g2^26) - g1*g2^13*t^8.01 + (g2^8*t^8.08)/g1^16 + (g1^13*t^8.1)/g2^11 + (3*t^8.14)/(g1^8*g2^8) + t^8.2/g2^24 - g1^3*g2^15*t^8.22 + (g2^18*t^8.27)/g1^18 + (2*g2^2*t^8.33)/g1^10 + (3*t^8.38)/(g1^2*g2^14) + (g1^6*t^8.44)/g2^30 - g1^9*g2^9*t^8.47 - (2*t^8.57)/(g1^4*g2^4) - t^8.6/g2^12 + (g1^4*t^8.63)/g2^20 + t^8.7/(g1^13*g2^25) + (2*g2^14*t^8.73)/g1^10 - (4*g2^6*t^8.76)/g1^6 - (4*g1^2*t^8.81)/g2^10 + (g1^6*t^8.84)/g2^18 + t^8.89/(g1^15*g2^15) + t^8.91/(g1^11*g2^23) - (2*g2^8*t^8.97)/g1^4 - t^4.39/(g1*g2*y) - t^6.75/(g1^7*g2^7*y) - t^6.96/(g1^5*g2^5*y) - (g2^5*t^7.15)/(g1^7*y) - (g1*t^7.21)/(g2^11*y) + (g2^9*t^7.58)/(g1^3*y) + (g1^5*t^7.64)/(g2^7*y) + (g1^3*g2^3*t^7.82)/y + t^7.92/(g1^10*g2^10*y) + (g1^5*g2^5*t^8.04)/y + t^8.11/(g1^12*y) + t^8.14/(g1^8*g2^8*y) + t^8.17/(g1^4*g2^16*y) + (g2^2*t^8.33)/(g1^10*y) + (2*t^8.35)/(g1^6*g2^6*y) + t^8.38/(g1^2*g2^14*y) + (g2^4*t^8.54)/(g1^8*y) + (3*t^8.57)/(g1^4*g2^4*y) + t^8.6/(g2^12*y) + (g2^6*t^8.76)/(g1^6*y) + (2*t^8.78)/(g1^2*g2^2*y) + (g1^2*t^8.81)/(g2^10*y) + (g2^8*t^8.97)/(g1^4*y) - (t^4.39*y)/(g1*g2) - (t^6.75*y)/(g1^7*g2^7) - (t^6.96*y)/(g1^5*g2^5) - (g2^5*t^7.15*y)/g1^7 - (g1*t^7.21*y)/g2^11 + (g2^9*t^7.58*y)/g1^3 + (g1^5*t^7.64*y)/g2^7 + g1^3*g2^3*t^7.82*y + (t^7.92*y)/(g1^10*g2^10) + g1^5*g2^5*t^8.04*y + (t^8.11*y)/g1^12 + (t^8.14*y)/(g1^8*g2^8) + (t^8.17*y)/(g1^4*g2^16) + (g2^2*t^8.33*y)/g1^10 + (2*t^8.35*y)/(g1^6*g2^6) + (t^8.38*y)/(g1^2*g2^14) + (g2^4*t^8.54*y)/g1^8 + (3*t^8.57*y)/(g1^4*g2^4) + (t^8.6*y)/g2^12 + (g2^6*t^8.76*y)/g1^6 + (2*t^8.78*y)/(g1^2*g2^2) + (g1^2*t^8.81*y)/g2^10 + (g2^8*t^8.97*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55090 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_2\phi_1^2$ + $ M_1M_5$ | 0.7054 | 0.8688 | 0.8119 | [X:[], M:[0.9348, 1.0326, 1.0, 0.9023, 1.0652, 0.8697], q:[0.4511, 0.614], qb:[0.5163, 0.4837], phi:[0.4837]] | t^2.61 + t^2.71 + t^2.8 + t^2.9 + t^3. + t^3.1 + t^3.2 + t^4.16 + t^4.26 + 2*t^4.35 + t^4.45 + t^4.55 + t^4.65 + t^4.74 + t^4.84 + t^5.14 + t^5.22 + t^5.32 + 2*t^5.41 + t^5.51 + 2*t^5.61 + 2*t^5.71 + 3*t^5.8 + t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 55106 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_2\phi_1^2$ + $ M_2M_7$ | 0.73 | 0.9083 | 0.8037 | [X:[], M:[0.8431, 1.0785, 1.0, 0.7646, 0.933, 0.9101, 0.9215], q:[0.4943, 0.6626], qb:[0.4272, 0.5728], phi:[0.4608]] | t^2.29 + t^2.53 + t^2.73 + 2*t^2.76 + t^2.8 + t^3. + t^3.95 + t^4.15 + t^4.35 + t^4.38 + t^4.58 + t^4.59 + t^4.65 + 2*t^4.82 + t^4.85 + t^5.02 + 3*t^5.06 + 2*t^5.09 + t^5.26 + 2*t^5.29 + t^5.33 + t^5.36 + t^5.46 + t^5.49 + 5*t^5.53 + t^5.56 + t^5.6 + t^5.76 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
| 55227 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_2\phi_1^2$ + $ M_4M_5$ | 0.701 | 0.8622 | 0.8131 | [X:[], M:[0.9551, 1.0224, 1.0, 0.9327, 1.0673, 0.8879], q:[0.4551, 0.5897], qb:[0.5224, 0.4776], phi:[0.4888]] | t^2.66 + t^2.8 + t^2.87 + t^2.93 + t^3. + t^3.07 + t^3.2 + t^4.2 + t^4.26 + t^4.33 + t^4.4 + t^4.47 + 2*t^4.6 + t^4.67 + t^4.8 + t^5. + t^5.33 + t^5.46 + t^5.53 + t^5.6 + t^5.66 + 3*t^5.73 + 3*t^5.87 + t^5.93 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 55307 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ + $ M_2\phi_1^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7439 | 0.9365 | 0.7943 | [X:[], M:[0.8569, 1.0715, 1.0, 0.7854, 0.9386, 0.9183, 0.6687], q:[0.4949, 0.6481], qb:[0.4336, 0.5664], phi:[0.4642]] | t^2.01 + t^2.36 + t^2.57 + t^2.75 + t^2.79 + t^2.82 + t^3. + t^3.21 + t^4.01 + t^4.18 + 2*t^4.36 + t^4.39 + 2*t^4.58 + t^4.64 + t^4.71 + t^4.76 + 2*t^4.79 + 2*t^4.82 + t^4.93 + t^5.01 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.22 + t^5.28 + t^5.33 + t^5.36 + t^5.39 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.79 + t^5.97 - 2*t^6. - t^4.39/y - t^4.39*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46434 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3^2$ | 0.7674 | 0.9598 | 0.7995 | [X:[], M:[0.6694, 0.8347, 1.0, 0.8347, 0.8347, 0.8347], q:[0.6653, 0.6653], qb:[0.5, 0.5], phi:[0.4174]] | t^2.01 + 5*t^2.5 + t^3. + t^4.02 + 3*t^4.25 + 5*t^4.51 + 4*t^4.75 + 16*t^5.01 + 3*t^5.24 + t^5.5 - 7*t^6. - t^4.25/y - t^4.25*y | detail |