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 |
|---|---|---|---|---|---|---|---|---|---|
| 46868 | 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_7\phi_1^2$ + $ M_4M_5$ | 0.737 | 0.9112 | 0.8089 | [X:[], M:[0.8973, 0.7712, 0.8739, 1.0, 1.0, 0.7712, 1.1144], q:[0.5513, 0.5513], qb:[0.6775, 0.4487], phi:[0.4428]] | [X:[], M:[[0, 0, 8], [1, -4, 8], [0, -4, -4], [-1, 0, -4], [1, 0, 4], [-1, -4, 0], [0, 2, -2]], q:[[-1, 0, -8], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, -1, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ M_1$, $ M_4$, $ M_5$, $ M_7$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_2M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ M_1M_2$, $ M_3^2$, $ M_4M_6$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ M_2M_5$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_2M_7$, $ M_3M_7$ | $M_4^2$, $ M_5^2$ | -3 | 2*t^2.31 + t^2.62 + t^2.69 + 2*t^3. + t^3.34 + t^4.02 + 2*t^4.33 + 3*t^4.63 + 3*t^4.64 + t^4.71 + 2*t^4.94 + 4*t^5.01 + t^5.24 + 4*t^5.31 + t^5.38 + t^5.39 + 2*t^5.66 + t^5.96 - 3*t^6. + t^6.04 - 2*t^6.31 + 2*t^6.33 + 2*t^6.34 - 2*t^6.38 + 4*t^6.64 - t^6.69 + t^6.71 + 4*t^6.94 + 6*t^6.95 + 4*t^7.02 + 3*t^7.25 + 3*t^7.26 + 3*t^7.32 + 6*t^7.33 + t^7.4 + 2*t^7.56 + 6*t^7.63 + 4*t^7.64 + 2*t^7.7 + 2*t^7.71 + t^7.86 + t^7.94 + 3*t^7.97 - t^8.01 + t^8.04 + t^8.08 + t^8.09 + 2*t^8.28 - 8*t^8.31 - 2*t^8.32 + 4*t^8.35 + t^8.59 - 9*t^8.62 + 3*t^8.65 + 7*t^8.66 - 8*t^8.69 - t^8.7 + 2*t^8.73 - 2*t^8.93 + 10*t^8.96 - t^4.33/y - (2*t^6.64)/y - t^6.95/y - t^7.02/y + t^7.63/y + t^7.64/y + t^7.71/y + (2*t^7.94)/y + (4*t^8.01)/y + (5*t^8.31)/y + (2*t^8.62)/y + (2*t^8.66)/y + (2*t^8.69)/y - (2*t^8.96)/y - t^4.33*y - 2*t^6.64*y - t^6.95*y - t^7.02*y + t^7.63*y + t^7.64*y + t^7.71*y + 2*t^7.94*y + 4*t^8.01*y + 5*t^8.31*y + 2*t^8.62*y + 2*t^8.66*y + 2*t^8.69*y - 2*t^8.96*y | t^2.31/(g1*g2^4) + (g1*g3^8*t^2.31)/g2^4 + t^2.62/(g2^4*g3^4) + g3^8*t^2.69 + t^3./(g1*g3^4) + g1*g3^4*t^3. + (g2^2*t^3.34)/g3^2 + (g3^9*t^4.02)/g2 + t^4.33/(g1*g2*g3^3) + (g1*g3^5*t^4.33)/g2 + t^4.63/(g1^2*g2^8) + (g3^8*t^4.63)/g2^8 + (g1^2*g3^16*t^4.63)/g2^8 + t^4.64/(g1^2*g2*g3^15) + t^4.64/(g2*g3^7) + (g1^2*g3*t^4.64)/g2 + g2^3*g3^5*t^4.71 + t^4.94/(g1*g2^8*g3^4) + (g1*g3^4*t^4.94)/g2^8 + (g2^3*t^5.01)/(g1*g3^7) + g1*g2^3*g3*t^5.01 + (g3^8*t^5.01)/(g1*g2^4) + (g1*g3^16*t^5.01)/g2^4 + t^5.24/(g2^8*g3^8) + t^5.31/(g1^2*g2^4*g3^4) + (2*g3^4*t^5.31)/g2^4 + (g1^2*g3^12*t^5.31)/g2^4 + g3^16*t^5.38 + g2^7*g3*t^5.39 + t^5.66/(g1*g2^2*g3^2) + (g1*g3^6*t^5.66)/g2^2 + t^5.96/(g2^2*g3^6) - 3*t^6. + g2^2*g3^6*t^6.04 - t^6.31/(g1*g3^12) - (g1*t^6.31)/g3^4 + (g3^9*t^6.33)/(g1*g2^5) + (g1*g3^17*t^6.33)/g2^5 + (g2^2*t^6.34)/(g1*g3^6) + g1*g2^2*g3^2*t^6.34 - (g2^4*t^6.38)/g1 - g1*g2^4*g3^8*t^6.38 + t^6.64/(g1^2*g2^5*g3^3) + (2*g3^5*t^6.64)/g2^5 + (g1^2*g3^13*t^6.64)/g2^5 - (g2^4*t^6.69)/g3^4 + (g3^17*t^6.71)/g2 + t^6.94/(g1^3*g2^12) + (g3^8*t^6.94)/(g1*g2^12) + (g1*g3^16*t^6.94)/g2^12 + (g1^3*g3^24*t^6.94)/g2^12 + t^6.95/(g1^3*g2^5*g3^15) + (2*t^6.95)/(g1*g2^5*g3^7) + (2*g1*g3*t^6.95)/g2^5 + (g1^3*g3^9*t^6.95)/g2^5 + (2*g3^5*t^7.02)/(g1*g2) + (2*g1*g3^13*t^7.02)/g2 + t^7.25/(g1^2*g2^12*g3^4) + (g3^4*t^7.25)/g2^12 + (g1^2*g3^12*t^7.25)/g2^12 + t^7.26/(g1^2*g2^5*g3^19) + t^7.26/(g2^5*g3^11) + (g1^2*t^7.26)/(g2^5*g3^3) + (g3^8*t^7.32)/(g1^2*g2^8) + (g3^16*t^7.32)/g2^8 + (g1^2*g3^24*t^7.32)/g2^8 + (2*t^7.33)/(g1^2*g2*g3^7) + (2*g3*t^7.33)/g2 + (2*g1^2*g3^9*t^7.33)/g2 + g2^3*g3^13*t^7.4 + (g1*t^7.56)/g2^12 + t^7.56/(g1*g2^12*g3^8) + t^7.63/(g1^3*g2^8*g3^4) + (2*g3^4*t^7.63)/(g1*g2^8) + (2*g1*g3^12*t^7.63)/g2^8 + (g1^3*g3^20*t^7.63)/g2^8 + t^7.64/(g1^3*g2*g3^19) + t^7.64/(g1*g2*g3^11) + (g1*t^7.64)/(g2*g3^3) + (g1^3*g3^5*t^7.64)/g2 + (g3^16*t^7.7)/(g1*g2^4) + (g1*g3^24*t^7.7)/g2^4 + (g2^3*g3*t^7.71)/g1 + g1*g2^3*g3^9*t^7.71 + t^7.86/(g2^12*g3^12) + t^7.94/g2^8 + t^7.97/(g1^2*g2^6*g3^2) + (g3^6*t^7.97)/g2^6 + (g1^2*g3^14*t^7.97)/g2^6 - (g2^3*t^8.01)/g3^3 + (g3^18*t^8.04)/g2^2 + g3^24*t^8.08 + g2^7*g3^9*t^8.09 + t^8.28/(g1*g2^6*g3^6) + (g1*g3^2*t^8.28)/g2^6 - (4*t^8.31)/(g1*g2^4) - (4*g1*g3^8*t^8.31)/g2^4 - (g2^3*t^8.32)/(g1*g3^15) - (g1*g2^3*t^8.32)/g3^7 + (2*g3^6*t^8.35)/(g1*g2^2) + (2*g1*g3^14*t^8.35)/g2^2 + t^8.59/(g2^6*g3^10) - (2*t^8.62)/(g1^2*g2^4*g3^12) - (5*t^8.62)/(g2^4*g3^4) - (2*g1^2*g3^4*t^8.62)/g2^4 + (g3^9*t^8.65)/(g1^2*g2^9) + (g3^17*t^8.65)/g2^9 + (g1^2*g3^25*t^8.65)/g2^9 + (2*t^8.66)/(g1^2*g2^2*g3^6) + (3*g3^2*t^8.66)/g2^2 + (2*g1^2*g3^10*t^8.66)/g2^2 - t^8.69/g1^2 - 6*g3^8*t^8.69 - g1^2*g3^16*t^8.69 - (g2^7*t^8.7)/g3^7 + 2*g2^2*g3^14*t^8.73 - t^8.93/(g1*g2^4*g3^16) - (g1*t^8.93)/(g2^4*g3^8) + t^8.96/(g1^3*g2^2*g3^18) + t^8.96/(g1*g2^2*g3^10) + t^8.96/(g1^3*g2^9*g3^3) + (g1*t^8.96)/(g2^2*g3^2) + (2*g3^5*t^8.96)/(g1*g2^9) + (g1^3*g3^6*t^8.96)/g2^2 + (2*g1*g3^13*t^8.96)/g2^9 + (g1^3*g3^21*t^8.96)/g2^9 - (g3*t^4.33)/(g2*y) - (g3*t^6.64)/(g1*g2^5*y) - (g1*g3^9*t^6.64)/(g2^5*y) - t^6.95/(g2^5*g3^3*y) - (g3^9*t^7.02)/(g2*y) + (g3^8*t^7.63)/(g2^8*y) + t^7.64/(g2*g3^7*y) + (g2^3*g3^5*t^7.71)/y + t^7.94/(g1*g2^8*g3^4*y) + (g1*g3^4*t^7.94)/(g2^8*y) + (g2^3*t^8.01)/(g1*g3^7*y) + (g1*g2^3*g3*t^8.01)/y + (g3^8*t^8.01)/(g1*g2^4*y) + (g1*g3^16*t^8.01)/(g2^4*y) + t^8.31/(g1^2*g2^4*g3^4*y) + (3*g3^4*t^8.31)/(g2^4*y) + (g1^2*g3^12*t^8.31)/(g2^4*y) + (g1*t^8.62)/(g2^4*y) + t^8.62/(g1*g2^4*g3^8*y) + t^8.66/(g1*g2^2*g3^2*y) + (g1*g3^6*t^8.66)/(g2^2*y) + (g3^4*t^8.69)/(g1*y) + (g1*g3^12*t^8.69)/y + t^8.96/(g2^2*g3^6*y) - (g3*t^8.96)/(g1^2*g2^9*y) - (g3^9*t^8.96)/(g2^9*y) - (g1^2*g3^17*t^8.96)/(g2^9*y) - (g3*t^4.33*y)/g2 - (g3*t^6.64*y)/(g1*g2^5) - (g1*g3^9*t^6.64*y)/g2^5 - (t^6.95*y)/(g2^5*g3^3) - (g3^9*t^7.02*y)/g2 + (g3^8*t^7.63*y)/g2^8 + (t^7.64*y)/(g2*g3^7) + g2^3*g3^5*t^7.71*y + (t^7.94*y)/(g1*g2^8*g3^4) + (g1*g3^4*t^7.94*y)/g2^8 + (g2^3*t^8.01*y)/(g1*g3^7) + g1*g2^3*g3*t^8.01*y + (g3^8*t^8.01*y)/(g1*g2^4) + (g1*g3^16*t^8.01*y)/g2^4 + (t^8.31*y)/(g1^2*g2^4*g3^4) + (3*g3^4*t^8.31*y)/g2^4 + (g1^2*g3^12*t^8.31*y)/g2^4 + (g1*t^8.62*y)/g2^4 + (t^8.62*y)/(g1*g2^4*g3^8) + (t^8.66*y)/(g1*g2^2*g3^2) + (g1*g3^6*t^8.66*y)/g2^2 + (g3^4*t^8.69*y)/g1 + g1*g3^12*t^8.69*y + (t^8.96*y)/(g2^2*g3^6) - (g3*t^8.96*y)/(g1^2*g2^9) - (g3^9*t^8.96*y)/g2^9 - (g1^2*g3^17*t^8.96*y)/g2^9 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46622 | 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_7\phi_1^2$ | 0.7904 | 0.9838 | 0.8034 | [X:[], M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619, 0.7619, 1.2381], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.29 + t^3.71 + 21*t^4.57 + 10*t^4.86 - 10*t^6. - t^4.14/y - t^4.14*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 26/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |