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 |
|---|---|---|---|---|---|---|---|---|---|
| 3396 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6909 | 0.8877 | 0.7783 | [X:[], M:[0.7502, 0.7838, 0.6844, 0.8495, 1.1505, 0.8495, 0.7012], q:[0.8579, 0.3919], qb:[0.4576, 0.7586], phi:[0.3835]] | [X:[], M:[[2, 10], [-6, -6], [-7, 7], [3, -3], [-3, 3], [3, -3], [-11, -1]], q:[[1, -7], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_7$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ M_1M_3$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_7\phi_1^2$, $ M_2M_7$, $ M_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ \phi_1^3q_2^2$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_2\phi_1q_2^2$ | $\phi_1^3q_2\tilde{q}_1$ | -2 | t^2.05 + t^2.1 + t^2.25 + t^2.3 + t^2.35 + 2*t^2.55 + t^3.5 + t^3.7 + t^4.11 + t^4.16 + t^4.21 + t^4.3 + 2*t^4.35 + 2*t^4.4 + t^4.46 + t^4.5 + t^4.55 + 4*t^4.6 + 3*t^4.65 + t^4.7 + 2*t^4.8 + 3*t^4.85 + 2*t^4.9 + 3*t^5.1 + t^5.56 + t^5.61 + t^5.75 + t^5.8 + t^5.85 - 2*t^6. + 2*t^6.05 + t^6.16 - t^6.2 + t^6.21 + t^6.25 + t^6.26 + t^6.31 + t^6.36 + 2*t^6.41 + 3*t^6.46 + 2*t^6.51 + t^6.55 + t^6.56 + 2*t^6.6 + 5*t^6.66 + 5*t^6.71 + t^6.75 + 4*t^6.76 + t^6.8 + t^6.81 + 4*t^6.85 + 6*t^6.9 + 6*t^6.95 + 4*t^7. + 3*t^7.05 + 2*t^7.1 + 5*t^7.15 + 5*t^7.2 + 2*t^7.25 + t^7.35 + 2*t^7.4 + 2*t^7.45 - t^7.6 + t^7.61 + 3*t^7.65 + t^7.66 + t^7.71 + t^7.81 + t^7.86 + 2*t^7.91 + t^7.96 - 3*t^8.05 + 2*t^8.15 + t^8.2 + t^8.21 - 4*t^8.25 + t^8.26 - 3*t^8.3 + t^8.31 - 2*t^8.35 + t^8.36 + 2*t^8.4 + 2*t^8.41 - t^8.45 + 2*t^8.46 - 3*t^8.5 + 3*t^8.51 - 7*t^8.55 + 3*t^8.56 + t^8.6 + 3*t^8.61 + 3*t^8.66 + 6*t^8.71 - 3*t^8.75 + 6*t^8.76 + t^8.8 + 6*t^8.81 + 6*t^8.86 + 6*t^8.91 + 8*t^8.96 - t^4.15/y - t^6.2/y - t^6.25/y - t^6.4/y - t^6.45/y - t^6.5/y - t^6.7/y + t^7.16/y + t^7.3/y + (2*t^7.35)/y + (2*t^7.4)/y + t^7.46/y + t^7.55/y + (4*t^7.6)/y + (3*t^7.65)/y + (3*t^7.8)/y + (3*t^7.85)/y + (3*t^7.9)/y + t^8.05/y + (2*t^8.1)/y - t^8.26/y - t^8.31/y - t^8.36/y - t^8.45/y - (2*t^8.5)/y - t^8.56/y - t^8.65/y - t^8.7/y - t^8.75/y - t^4.15*y - t^6.2*y - t^6.25*y - t^6.4*y - t^6.45*y - t^6.5*y - t^6.7*y + t^7.16*y + t^7.3*y + 2*t^7.35*y + 2*t^7.4*y + t^7.46*y + t^7.55*y + 4*t^7.6*y + 3*t^7.65*y + 3*t^7.8*y + 3*t^7.85*y + 3*t^7.9*y + t^8.05*y + 2*t^8.1*y - t^8.26*y - t^8.31*y - t^8.36*y - t^8.45*y - 2*t^8.5*y - t^8.56*y - t^8.65*y - t^8.7*y - t^8.75*y | (g2^7*t^2.05)/g1^7 + t^2.1/(g1^11*g2) + g1^2*g2^10*t^2.25 + (g2^2*t^2.3)/g1^2 + t^2.35/(g1^6*g2^6) + (2*g1^3*t^2.55)/g2^3 + t^3.5/(g1^7*g2^5) + (g1^2*t^3.7)/g2^2 + (g2^14*t^4.11)/g1^14 + (g2^6*t^4.16)/g1^18 + t^4.21/(g1^22*g2^2) + (g2^17*t^4.3)/g1^5 + (2*g2^9*t^4.35)/g1^9 + (2*g2*t^4.4)/g1^13 + t^4.46/(g1^17*g2^7) + g1^4*g2^20*t^4.5 + g2^12*t^4.55 + (4*g2^4*t^4.6)/g1^4 + (3*t^4.65)/(g1^8*g2^4) + t^4.7/(g1^12*g2^12) + 2*g1^5*g2^7*t^4.8 + (3*g1*t^4.85)/g2 + (2*t^4.9)/(g1^3*g2^9) + (3*g1^6*t^5.1)/g2^6 + (g2^2*t^5.56)/g1^14 + t^5.61/(g1^18*g2^6) + (g2^5*t^5.75)/g1^5 + t^5.8/(g1^9*g2^3) + t^5.85/(g1^13*g2^11) - 2*t^6. + (2*t^6.05)/(g1^4*g2^8) + (g2^21*t^6.16)/g1^21 - g1^9*g2^3*t^6.2 + (g2^13*t^6.21)/g1^25 + (g1^5*t^6.25)/g2^5 + (g2^5*t^6.26)/g1^29 + t^6.31/(g1^33*g2^3) + (g2^24*t^6.36)/g1^12 + (2*g2^16*t^6.41)/g1^16 + (3*g2^8*t^6.46)/g1^20 + (2*t^6.51)/g1^24 + (g2^27*t^6.55)/g1^3 + t^6.56/(g1^28*g2^8) + (2*g2^19*t^6.6)/g1^7 + (5*g2^11*t^6.66)/g1^11 + (5*g2^3*t^6.71)/g1^15 + g1^6*g2^30*t^6.75 + (4*t^6.76)/(g1^19*g2^5) + g1^2*g2^22*t^6.8 + t^6.81/(g1^23*g2^13) + (4*g2^14*t^6.85)/g1^2 + (6*g2^6*t^6.9)/g1^6 + (6*t^6.95)/(g1^10*g2^2) + (4*t^7.)/(g1^14*g2^10) + t^7.05/(g1^18*g2^18) + 2*g1^7*g2^17*t^7.05 + 2*g1^3*g2^9*t^7.1 + (5*g2*t^7.15)/g1 + (5*t^7.2)/(g1^5*g2^7) + (2*t^7.25)/(g1^9*g2^15) + g1^8*g2^4*t^7.35 + (2*g1^4*t^7.4)/g2^4 + (2*t^7.45)/g2^12 - (g1^13*t^7.6)/g2 + (g2^9*t^7.61)/g1^21 + (3*g1^9*t^7.65)/g2^9 + (g2*t^7.66)/g1^25 + t^7.71/(g1^29*g2^7) + (g2^12*t^7.81)/g1^12 + (g2^4*t^7.86)/g1^16 + (2*t^7.91)/(g1^20*g2^4) + t^7.96/(g1^24*g2^12) - (3*g2^7*t^8.05)/g1^7 + (2*t^8.15)/(g1^15*g2^9) + t^8.2/(g1^19*g2^17) + (g2^28*t^8.21)/g1^28 - 4*g1^2*g2^10*t^8.25 + (g2^20*t^8.26)/g1^32 - (3*g2^2*t^8.3)/g1^2 + (g2^12*t^8.31)/g1^36 - (2*t^8.35)/(g1^6*g2^6) + (g2^4*t^8.36)/g1^40 + (2*t^8.4)/(g1^10*g2^14) + t^8.41/(g1^44*g2^4) + (g2^31*t^8.41)/g1^19 - g1^11*g2^13*t^8.45 + (2*g2^23*t^8.46)/g1^23 - 3*g1^7*g2^5*t^8.5 + (3*g2^15*t^8.51)/g1^27 - (7*g1^3*t^8.55)/g2^3 + (3*g2^7*t^8.56)/g1^31 + t^8.6/(g1*g2^11) + (2*t^8.61)/(g1^35*g2) + (g2^34*t^8.61)/g1^10 + t^8.66/(g1^39*g2^9) + (2*g2^26*t^8.66)/g1^14 + (6*g2^18*t^8.71)/g1^18 - 3*g1^12*t^8.75 + (6*g2^10*t^8.76)/g1^22 + (g2^37*t^8.8)/g1 + (6*g2^2*t^8.81)/g1^26 + (4*t^8.86)/(g1^30*g2^6) + (2*g2^29*t^8.86)/g1^5 + t^8.91/(g1^34*g2^14) + (5*g2^21*t^8.91)/g1^9 + (8*g2^13*t^8.96)/g1^13 - (g2*t^4.15)/(g1*y) - (g2^8*t^6.2)/(g1^8*y) - t^6.25/(g1^12*y) - (g1*g2^11*t^6.4)/y - (g2^3*t^6.45)/(g1^3*y) - t^6.5/(g1^7*g2^5*y) - (g1^2*t^6.7)/(g2^2*y) + (g2^6*t^7.16)/(g1^18*y) + (g2^17*t^7.3)/(g1^5*y) + (2*g2^9*t^7.35)/(g1^9*y) + (2*g2*t^7.4)/(g1^13*y) + t^7.46/(g1^17*g2^7*y) + (g2^12*t^7.55)/y + (4*g2^4*t^7.6)/(g1^4*y) + (3*t^7.65)/(g1^8*g2^4*y) + (3*g1^5*g2^7*t^7.8)/y + (3*g1*t^7.85)/(g2*y) + (3*t^7.9)/(g1^3*g2^9*y) + (g1^10*g2^2*t^8.05)/y + (2*g1^6*t^8.1)/(g2^6*y) - (g2^15*t^8.26)/(g1^15*y) - (g2^7*t^8.31)/(g1^19*y) - t^8.36/(g1^23*g2*y) - (g2^18*t^8.45)/(g1^6*y) - (2*g2^10*t^8.5)/(g1^10*y) - (g2^2*t^8.56)/(g1^14*y) - (g1^3*g2^21*t^8.65)/y - (g2^13*t^8.7)/(g1*y) - (g2^5*t^8.75)/(g1^5*y) - (g2*t^4.15*y)/g1 - (g2^8*t^6.2*y)/g1^8 - (t^6.25*y)/g1^12 - g1*g2^11*t^6.4*y - (g2^3*t^6.45*y)/g1^3 - (t^6.5*y)/(g1^7*g2^5) - (g1^2*t^6.7*y)/g2^2 + (g2^6*t^7.16*y)/g1^18 + (g2^17*t^7.3*y)/g1^5 + (2*g2^9*t^7.35*y)/g1^9 + (2*g2*t^7.4*y)/g1^13 + (t^7.46*y)/(g1^17*g2^7) + g2^12*t^7.55*y + (4*g2^4*t^7.6*y)/g1^4 + (3*t^7.65*y)/(g1^8*g2^4) + 3*g1^5*g2^7*t^7.8*y + (3*g1*t^7.85*y)/g2 + (3*t^7.9*y)/(g1^3*g2^9) + g1^10*g2^2*t^8.05*y + (2*g1^6*t^8.1*y)/g2^6 - (g2^15*t^8.26*y)/g1^15 - (g2^7*t^8.31*y)/g1^19 - (t^8.36*y)/(g1^23*g2) - (g2^18*t^8.45*y)/g1^6 - (2*g2^10*t^8.5*y)/g1^10 - (g2^2*t^8.56*y)/g1^14 - g1^3*g2^21*t^8.65*y - (g2^13*t^8.7*y)/g1 - (g2^5*t^8.75*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3882 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.6087 | 0.7778 | 0.7826 | [X:[], M:[0.8222, 0.8834, 0.9847, 0.7208, 1.2792, 0.7208, 1.0153], q:[0.7361, 0.4417], qb:[0.2792, 0.8375], phi:[0.4264]] | 2*t^2.16 + t^2.47 + t^2.56 + t^2.65 + t^2.95 + t^3.05 + t^3.44 + t^3.93 + 3*t^4.33 + 2*t^4.63 + 3*t^4.72 + 2*t^4.81 + t^4.93 + t^5.02 + 4*t^5.12 + 3*t^5.21 + t^5.3 + t^5.42 + t^5.51 + 3*t^5.6 + t^5.7 + t^5.91 - t^6. - t^4.28/y - t^4.28*y | detail | |
| 3883 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ | 0.6284 | 0.8016 | 0.7839 | [X:[], M:[0.6871, 0.9516, 0.8678, 0.771, 1.229, 0.771, 1.0], q:[0.8371, 0.4758], qb:[0.2952, 0.7533], phi:[0.4097]] | t^2.06 + 2*t^2.31 + t^2.46 + t^2.6 + t^2.85 + t^3. + t^3.54 + t^4.08 + t^4.12 + 2*t^4.37 + t^4.52 + 3*t^4.63 + t^4.66 + 3*t^4.77 + 4*t^4.92 + 2*t^5.06 + 2*t^5.17 + t^5.21 + 3*t^5.31 + t^5.46 + t^5.6 + t^5.71 + 2*t^5.85 - t^6. - t^4.23/y - t^4.23*y | detail | |
| 3884 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.7061 | 0.9132 | 0.7733 | [X:[], M:[0.7275, 0.8081, 0.6872, 0.8484, 1.1516, 0.8484, 0.7275, 0.8081], q:[0.8685, 0.404], qb:[0.4443, 0.7476], phi:[0.3839]] | t^2.06 + 2*t^2.18 + t^2.3 + 2*t^2.42 + 2*t^2.55 + t^3.7 + t^4.12 + 2*t^4.24 + 4*t^4.36 + 4*t^4.49 + 7*t^4.61 + 6*t^4.73 + 6*t^4.85 + 4*t^4.97 + 3*t^5.09 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2842 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ | 0.6706 | 0.8484 | 0.7904 | [X:[], M:[0.7464, 0.7935, 0.6948, 0.8451, 1.1549, 0.8451], q:[0.8569, 0.3967], qb:[0.4484, 0.7582], phi:[0.385]] | t^2.08 + t^2.24 + t^2.31 + t^2.38 + 2*t^2.54 + t^3.54 + t^3.69 + t^3.85 + t^4.17 + t^4.32 + t^4.39 + t^4.46 + t^4.48 + t^4.55 + 4*t^4.62 + t^4.69 + t^4.76 + 2*t^4.77 + 3*t^4.85 + 2*t^4.92 + 3*t^5.07 + t^5.62 + t^5.77 + t^5.92 + t^5.93 - 2*t^6. - t^4.15/y - t^4.15*y | detail |