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 |
|---|---|---|---|---|---|---|---|---|---|
| 46786 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6572 | 0.8255 | 0.7962 | [X:[], M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-11, -13]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_5^2$, $ M_2M_5$, $ M_5\phi_1^2$, $ M_4M_5$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_4^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_5\phi_1q_1^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_1M_4$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1q_2$, $ M_4\phi_1q_1^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.06 + t^2.21 + t^2.28 + t^2.36 + t^2.57 + t^3.43 + t^3.5 + t^3.72 + t^4.01 + t^4.13 + t^4.28 + t^4.35 + 2*t^4.42 + t^4.49 + 2*t^4.57 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.93 + t^5.15 + t^5.49 + t^5.56 + t^5.64 + t^5.71 + 2*t^5.78 + t^5.85 - t^6. + 2*t^6.07 + t^6.19 + t^6.29 + t^6.34 + t^6.36 + t^6.41 + 2*t^6.49 + t^6.56 + t^6.58 + 3*t^6.63 + 3*t^6.7 + 3*t^6.78 + 3*t^6.85 + 4*t^6.92 + 4*t^7. + 2*t^7.07 + t^7.14 + 2*t^7.21 + t^7.29 - t^7.36 + t^7.51 + t^7.55 + t^7.63 - t^7.65 + t^7.7 + t^7.72 + t^7.77 + 3*t^7.85 + 2*t^7.92 + t^7.99 + t^8.02 + 3*t^8.14 - t^8.21 + t^8.26 - t^8.28 - t^8.36 + t^8.4 + 2*t^8.43 + t^8.48 - 2*t^8.5 + 2*t^8.55 - 2*t^8.57 + t^8.62 + t^8.65 + 3*t^8.7 + t^8.72 + 3*t^8.77 - t^8.79 + 4*t^8.84 + t^8.87 + 3*t^8.91 + t^8.92 + t^8.94 + 6*t^8.99 - t^4.14/y - t^6.21/y - t^6.35/y - t^6.43/y - t^6.5/y + t^7.28/y + t^7.35/y + t^7.42/y + t^7.49/y + t^7.57/y + (2*t^7.64)/y + (2*t^7.79)/y + (2*t^7.86)/y + (2*t^7.93)/y + t^8.08/y - t^8.27/y - t^8.42/y - t^8.56/y + (2*t^8.78)/y + t^8.93/y - t^4.14*y - t^6.21*y - t^6.35*y - t^6.43*y - t^6.5*y + t^7.28*y + t^7.35*y + t^7.42*y + t^7.49*y + t^7.57*y + 2*t^7.64*y + 2*t^7.79*y + 2*t^7.86*y + 2*t^7.93*y + t^8.08*y - t^8.27*y - t^8.42*y - t^8.56*y + 2*t^8.78*y + t^8.93*y | t^2.06/(g1^11*g2^13) + g1^2*g2^4*t^2.21 + t^2.28/(g1^2*g2^2) + t^2.36/(g1^6*g2^8) + g1^3*g2^3*t^2.57 + t^3.43/(g1^3*g2^3) + t^3.5/(g1^7*g2^9) + g1^2*g2^2*t^3.72 + g1^7*g2^7*t^4.01 + t^4.13/(g1^22*g2^26) + t^4.28/(g1^9*g2^9) + t^4.35/(g1^13*g2^15) + t^4.42/(g1^17*g2^21) + g1^4*g2^8*t^4.42 + g2^2*t^4.49 + (2*t^4.57)/(g1^4*g2^4) + (2*t^4.64)/(g1^8*g2^10) + t^4.71/(g1^12*g2^16) + g1^5*g2^7*t^4.79 + 2*g1*g2*t^4.86 + t^4.93/(g1^3*g2^5) + g1^6*g2^6*t^5.15 + t^5.49/(g1^14*g2^16) + t^5.56/(g1^18*g2^22) + (g2*t^5.64)/g1 + t^5.71/(g1^5*g2^5) + (2*t^5.78)/(g1^9*g2^11) + t^5.85/(g1^13*g2^17) - t^6. + (2*t^6.07)/(g1^4*g2^6) + t^6.19/(g1^33*g2^39) + g1^5*g2^5*t^6.29 + t^6.34/(g1^20*g2^22) + (g1*t^6.36)/g2 + t^6.41/(g1^24*g2^28) + t^6.49/(g1^28*g2^34) + t^6.49/(g1^7*g2^5) + t^6.56/(g1^11*g2^11) + g1^10*g2^10*t^6.58 + (2*t^6.63)/(g1^15*g2^17) + g1^6*g2^12*t^6.63 + (2*t^6.7)/(g1^19*g2^23) + g1^2*g2^6*t^6.7 + (2*t^6.78)/g1^2 + t^6.78/(g1^23*g2^29) + (3*t^6.85)/(g1^6*g2^6) + (4*t^6.92)/(g1^10*g2^12) + (3*t^7.)/(g1^14*g2^18) + g1^7*g2^11*t^7. + t^7.07/(g1^18*g2^24) + g1^3*g2^5*t^7.07 + t^7.14/(g1*g2) + (2*t^7.21)/(g1^5*g2^7) + t^7.29/(g1^9*g2^13) - g1^8*g2^10*t^7.36 + t^7.51/g2^2 + t^7.55/(g1^25*g2^29) + t^7.63/(g1^29*g2^35) - g1^13*g2^15*t^7.65 + t^7.7/(g1^12*g2^12) + g1^9*g2^9*t^7.72 + t^7.77/(g1^16*g2^18) + (2*t^7.85)/(g1^20*g2^24) + g1*g2^5*t^7.85 + t^7.92/(g1^24*g2^30) + t^7.92/(g1^3*g2) + t^7.99/(g1^7*g2^7) + g1^14*g2^14*t^8.02 + (3*t^8.14)/(g1^15*g2^19) + t^8.21/(g1^19*g2^25) - 2*g1^2*g2^4*t^8.21 + t^8.26/(g1^44*g2^52) - t^8.28/(g1^2*g2^2) - t^8.36/(g1^6*g2^8) + t^8.4/(g1^31*g2^35) + (2*t^8.43)/(g1^10*g2^14) + t^8.48/(g1^35*g2^41) - 2*g1^7*g2^9*t^8.5 + t^8.55/(g1^39*g2^47) + t^8.55/(g1^18*g2^18) - 2*g1^3*g2^3*t^8.57 + t^8.62/(g1^22*g2^24) + t^8.65/(g1*g2^3) + (2*t^8.7)/(g1^26*g2^30) + t^8.7/(g1^5*g2) + t^8.72/(g1^5*g2^9) + (2*t^8.77)/(g1^30*g2^36) + t^8.77/(g1^9*g2^7) - g1^12*g2^14*t^8.79 + t^8.84/(g1^34*g2^42) + (2*t^8.84)/(g1^13*g2^13) + g1^8*g2^16*t^8.84 + g1^8*g2^8*t^8.87 + (3*t^8.91)/(g1^17*g2^19) + g1^4*g2^10*t^8.92 + g1^4*g2^2*t^8.94 + (4*t^8.99)/(g1^21*g2^25) + 2*g2^4*t^8.99 - t^4.14/(g1*g2*y) - t^6.21/(g1^12*g2^14*y) - (g1*g2^3*t^6.35)/y - t^6.43/(g1^3*g2^3*y) - t^6.5/(g1^7*g2^9*y) + t^7.28/(g1^9*g2^9*y) + t^7.35/(g1^13*g2^15*y) + t^7.42/(g1^17*g2^21*y) + (g2^2*t^7.49)/y + t^7.57/(g1^4*g2^4*y) + (2*t^7.64)/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.79)/y + (2*g1*g2*t^7.86)/y + (2*t^7.93)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.08)/y - t^8.27/(g1^23*g2^27*y) - t^8.42/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.56)/y + (2*t^8.78)/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.93)/y - (t^4.14*y)/(g1*g2) - (t^6.21*y)/(g1^12*g2^14) - g1*g2^3*t^6.35*y - (t^6.43*y)/(g1^3*g2^3) - (t^6.5*y)/(g1^7*g2^9) + (t^7.28*y)/(g1^9*g2^9) + (t^7.35*y)/(g1^13*g2^15) + (t^7.42*y)/(g1^17*g2^21) + g2^2*t^7.49*y + (t^7.57*y)/(g1^4*g2^4) + (2*t^7.64*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.79*y + 2*g1*g2*t^7.86*y + (2*t^7.93*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.08*y - (t^8.27*y)/(g1^23*g2^27) - (t^8.42*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.56*y + (2*t^8.78*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 48304 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_5$ | 0.6474 | 0.8091 | 0.8001 | [X:[], M:[1.1909, 0.7638, 0.8091, 0.8241, 0.8091], q:[0.4121, 0.397], qb:[0.8241, 0.7789], phi:[0.397]] | t^2.29 + t^2.38 + 2*t^2.43 + t^2.47 + t^3.57 + t^3.62 + 2*t^3.66 + t^4.58 + t^4.67 + 2*t^4.72 + 2*t^4.76 + 3*t^4.81 + 4*t^4.85 + 2*t^4.9 + t^4.94 + t^5.86 + t^5.95 - t^4.19/y - t^4.19*y | detail | |
| 48138 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_6$ | 0.6702 | 0.8472 | 0.7911 | [X:[], M:[1.1541, 0.7557, 0.8459, 0.7831, 0.7067, 0.8459], q:[0.3916, 0.4543], qb:[0.8527, 0.7626], phi:[0.3847]] | t^2.12 + t^2.27 + t^2.31 + t^2.35 + 2*t^2.54 + t^3.5 + t^3.69 + t^3.92 + t^4.24 + t^4.39 + t^4.43 + t^4.47 + t^4.53 + t^4.58 + 2*t^4.62 + 3*t^4.66 + t^4.7 + 2*t^4.8 + 3*t^4.85 + 2*t^4.89 + 3*t^5.08 + t^5.62 + t^5.81 + t^5.85 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 47249 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_6$ | 0.6406 | 0.7956 | 0.8052 | [X:[], M:[1.14, 0.7099, 0.86, 0.81, 0.7099, 1.19], q:[0.405, 0.455], qb:[0.8851, 0.735], phi:[0.38]] | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail | |
| 48141 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4\phi_1q_1^2$ | 0.6565 | 0.8232 | 0.7974 | [X:[], M:[1.1417, 0.7126, 0.8583, 0.8097, 0.7126], q:[0.4049, 0.4534], qb:[0.8825, 0.7369], phi:[0.3806]] | 2*t^2.14 + t^2.28 + t^2.43 + t^2.57 + t^3.43 + t^3.57 + t^3.72 + t^4.01 + 3*t^4.28 + 2*t^4.42 + 3*t^4.57 + 3*t^4.71 + 3*t^4.86 + t^5. + t^5.15 + 2*t^5.56 + 2*t^5.71 + 2*t^5.85 - t^4.14/y - t^4.14*y | detail | |
| 48270 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.5993 | 0.7502 | 0.7989 | [X:[], M:[1.2404, 0.7213, 0.7596, 0.9326, 1.0], q:[0.4663, 0.2933], qb:[0.8124, 0.7741], phi:[0.4135]] | t^2.16 + t^2.28 + t^2.48 + t^2.8 + t^3. + t^3.32 + t^3.52 + t^3.72 + t^4.04 + t^4.33 + t^4.44 + t^4.56 + t^4.64 + 2*t^4.76 + 2*t^4.96 + t^5.08 + t^5.16 + 2*t^5.28 + t^5.48 + 2*t^5.6 + 2*t^5.8 + t^5.89 - t^4.24/y - t^4.24*y | detail | |
| 47088 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_1^2$ | 0.6724 | 0.8509 | 0.7902 | [X:[], M:[1.1435, 0.7153, 0.8565, 0.8094, 0.7153, 0.8094], q:[0.4047, 0.4518], qb:[0.88, 0.7388], phi:[0.3812]] | 2*t^2.15 + t^2.29 + 2*t^2.43 + t^2.57 + t^3.43 + t^3.71 + t^4. + 3*t^4.29 + 2*t^4.43 + 5*t^4.57 + 4*t^4.72 + 5*t^4.86 + 2*t^5. + t^5.14 + 2*t^5.58 + 2*t^5.86 - t^6. - t^4.14/y - t^4.14*y | detail | |
| 46977 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6522 | 0.82 | 0.7954 | [X:[], M:[1.177, 0.823, 0.823, 0.7464, 0.7082], q:[0.3732, 0.4497], qb:[0.8038, 0.8038], phi:[0.3923]] | t^2.12 + t^2.24 + t^2.35 + 2*t^2.47 + t^3.42 + t^3.53 + t^3.65 + t^3.76 + t^4.25 + t^4.36 + 2*t^4.48 + 3*t^4.59 + 3*t^4.71 + 3*t^4.82 + 3*t^4.94 + t^5.54 + 2*t^5.66 + 2*t^5.77 + 3*t^5.89 + t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6366 | 0.7855 | 0.8105 | [X:[], M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.29 + t^2.38 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.89 + t^3.97 + t^4.42 + t^4.5 + 2*t^4.59 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.12 + t^5.65 + t^5.73 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail |