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 |
|---|---|---|---|---|---|---|---|---|---|
| 574 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ | 0.7096 | 0.8749 | 0.811 | [X:[], M:[1.0, 0.9169, 1.0831, 0.8338, 0.9169], q:[0.4404, 0.5596], qb:[0.4765, 0.6066], phi:[0.4792]] | [X:[], M:[[0, 0], [-4, -4], [4, 4], [-8, -8], [-4, -4]], q:[[-8, -4], [8, 4]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$ | . | -3 | t^2.5 + 2*t^2.75 + t^2.88 + t^3. + t^3.11 + t^3.14 + t^4.08 + t^4.19 + t^4.3 + t^4.44 + t^4.55 + t^4.58 + t^4.69 + t^4.8 + t^4.94 + t^5. + t^5.08 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + t^5.86 + t^5.88 + t^5.89 + t^5.98 - 3*t^6. + t^6.02 + t^6.22 - t^6.25 + t^6.28 - t^6.36 - t^6.39 - t^6.5 + t^6.58 + t^6.69 + t^6.8 + 2*t^6.83 + 2*t^6.94 + t^6.96 + 2*t^7.05 + t^7.06 + t^7.08 + t^7.17 + 3*t^7.19 - t^7.2 + t^7.22 + 3*t^7.3 + t^7.33 + t^7.41 + t^7.44 + t^7.45 + t^7.5 + 2*t^7.55 + t^7.58 + t^7.65 + t^7.69 - t^7.7 + t^7.72 + 2*t^7.75 + t^7.83 + t^7.88 + t^7.9 - t^7.92 + t^7.95 + 3*t^8. - t^8.06 + t^8.08 + 2*t^8.13 + t^8.16 - t^8.2 + t^8.22 + 4*t^8.25 + t^8.27 + 4*t^8.38 - t^8.39 + t^8.49 + t^8.52 + t^8.59 + 3*t^8.63 + t^8.66 + 2*t^8.73 - 7*t^8.75 + 2*t^8.77 + t^8.84 - t^8.86 - t^8.88 + t^8.97 + 2*t^8.98 - t^4.44/y - t^6.94/y - t^7.19/y - t^7.31/y + t^7.56/y + t^7.69/y + t^7.94/y + (2*t^8.25)/y + t^8.38/y + (2*t^8.5)/y + t^8.61/y + (2*t^8.63)/y + t^8.64/y + (2*t^8.75)/y + (2*t^8.86)/y + t^8.88/y + (2*t^8.89)/y + t^8.98/y - t^4.44*y - t^6.94*y - t^7.19*y - t^7.31*y + t^7.56*y + t^7.69*y + t^7.94*y + 2*t^8.25*y + t^8.38*y + 2*t^8.5*y + t^8.61*y + 2*t^8.63*y + t^8.64*y + 2*t^8.75*y + 2*t^8.86*y + t^8.88*y + 2*t^8.89*y + t^8.98*y | t^2.5/(g1^8*g2^8) + (2*t^2.75)/(g1^4*g2^4) + t^2.88/(g1^2*g2^2) + t^3. + g1^12*g2^4*t^3.11 + t^3.14/g1^8 + t^4.08/(g1^17*g2^9) + t^4.19/(g1^5*g2^5) + (g1^7*t^4.3)/g2 + t^4.44/(g1*g2) + g1^11*g2^3*t^4.55 + t^4.58/(g1^9*g2) + g1^3*g2^3*t^4.69 + g1^15*g2^7*t^4.8 + g1^7*g2^7*t^4.94 + t^5./(g1^16*g2^16) + (g2^7*t^5.08)/g1 + (2*t^5.25)/(g1^12*g2^12) + t^5.38/(g1^10*g2^10) + (3*t^5.5)/(g1^8*g2^8) + (2*t^5.63)/(g1^6*g2^6) + (2*t^5.75)/(g1^4*g2^4) + g1^8*t^5.86 + t^5.88/(g1^2*g2^2) + t^5.89/(g1^12*g2^4) + g1^10*g2^2*t^5.98 - 3*t^6. + t^6.02/(g1^10*g2^2) + g1^24*g2^8*t^6.22 - g1^4*g2^4*t^6.25 + t^6.28/g1^16 - g1^16*g2^8*t^6.36 - (g2^4*t^6.39)/g1^4 - g1^8*g2^8*t^6.5 + t^6.58/(g1^25*g2^17) + t^6.69/(g1^13*g2^13) + t^6.8/(g1*g2^9) + (2*t^6.83)/(g1^21*g2^13) + (2*t^6.94)/(g1^9*g2^9) + t^6.96/(g1^19*g2^11) + (2*g1^3*t^7.05)/g2^5 + t^7.06/(g1^7*g2^7) + t^7.08/(g1^17*g2^9) + (g1^5*t^7.17)/g2^3 + (3*t^7.19)/(g1^5*g2^5) - t^7.2/(g1^15*g2^7) + t^7.22/(g1^25*g2^9) + (3*g1^7*t^7.3)/g2 + t^7.33/(g1^13*g2^5) + g1^19*g2^3*t^7.41 + t^7.44/(g1*g2) + t^7.45/(g1^11*g2^3) + t^7.5/(g1^24*g2^24) + 2*g1^11*g2^3*t^7.55 + t^7.58/(g1^9*g2) + g1^23*g2^7*t^7.65 + g1^3*g2^3*t^7.69 - (g2*t^7.7)/g1^7 + t^7.72/(g1^17*g2) + (2*t^7.75)/(g1^20*g2^20) + (g2^3*t^7.83)/g1^5 + t^7.88/(g1^18*g2^18) + g1^27*g2^11*t^7.9 - g1^17*g2^9*t^7.92 + (g2^5*t^7.95)/g1^3 + (3*t^8.)/(g1^16*g2^16) - g1^9*g2^9*t^8.06 + (g2^7*t^8.08)/g1 + (2*t^8.13)/(g1^14*g2^14) + t^8.16/(g1^34*g2^18) - g1*g2^9*t^8.2 + (g2^7*t^8.22)/g1^9 + (4*t^8.25)/(g1^12*g2^12) + t^8.27/(g1^22*g2^14) + (4*t^8.38)/(g1^10*g2^10) - t^8.39/(g1^20*g2^12) + (g1^2*t^8.49)/g2^6 + t^8.52/(g1^18*g2^10) + (g1^14*t^8.59)/g2^2 + (3*t^8.63)/(g1^6*g2^6) + t^8.66/(g1^26*g2^10) + (2*g1^6*t^8.73)/g2^2 - (7*t^8.75)/(g1^4*g2^4) + (2*t^8.77)/(g1^14*g2^6) + g1^18*g2^2*t^8.84 - g1^8*t^8.86 - t^8.88/(g1^2*g2^2) + g1^20*g2^4*t^8.97 + 2*g1^10*g2^2*t^8.98 - t^4.44/(g1*g2*y) - t^6.94/(g1^9*g2^9*y) - t^7.19/(g1^5*g2^5*y) - t^7.31/(g1^3*g2^3*y) + (g1*g2*t^7.56)/y + (g1^3*g2^3*t^7.69)/y + (g1^7*g2^7*t^7.94)/y + (2*t^8.25)/(g1^12*g2^12*y) + t^8.38/(g1^10*g2^10*y) + (2*t^8.5)/(g1^8*g2^8*y) + (g1^4*t^8.61)/(g2^4*y) + (2*t^8.63)/(g1^6*g2^6*y) + t^8.64/(g1^16*g2^8*y) + (2*t^8.75)/(g1^4*g2^4*y) + (2*g1^8*t^8.86)/y + t^8.88/(g1^2*g2^2*y) + (2*t^8.89)/(g1^12*g2^4*y) + (g1^10*g2^2*t^8.98)/y - (t^4.44*y)/(g1*g2) - (t^6.94*y)/(g1^9*g2^9) - (t^7.19*y)/(g1^5*g2^5) - (t^7.31*y)/(g1^3*g2^3) + g1*g2*t^7.56*y + g1^3*g2^3*t^7.69*y + g1^7*g2^7*t^7.94*y + (2*t^8.25*y)/(g1^12*g2^12) + (t^8.38*y)/(g1^10*g2^10) + (2*t^8.5*y)/(g1^8*g2^8) + (g1^4*t^8.61*y)/g2^4 + (2*t^8.63*y)/(g1^6*g2^6) + (t^8.64*y)/(g1^16*g2^8) + (2*t^8.75*y)/(g1^4*g2^4) + 2*g1^8*t^8.86*y + (t^8.88*y)/(g1^2*g2^2) + (2*t^8.89*y)/(g1^12*g2^4) + g1^10*g2^2*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 889 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ M_5q_2\tilde{q}_1$ | 0.708 | 0.8725 | 0.8115 | [X:[], M:[1.0, 0.9246, 1.0754, 0.8491, 0.9246], q:[0.4246, 0.5754], qb:[0.5, 0.5754], phi:[0.4811]] | t^2.55 + 2*t^2.77 + t^2.89 + 2*t^3. + t^3.23 + t^3.99 + t^4.22 + 3*t^4.44 + 2*t^4.67 + 3*t^4.9 + t^5.09 + 2*t^5.32 + t^5.43 + 3*t^5.55 + 2*t^5.66 + 3*t^5.77 + 2*t^5.89 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 1933 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.5864 | 0.7382 | 0.7944 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | 2*t^2.14 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + 2*t^3.64 + 3*t^4.29 + 3*t^4.71 + 3*t^5.14 + 4*t^5.36 + 2*t^5.57 + 4*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 1839/3136, c: 2315/3136, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| 1935 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6818 | 0.8558 | 0.7967 | [X:[], M:[1.0, 0.8382, 1.1618, 0.6764, 0.8382], q:[0.4466, 0.5534], qb:[0.3916, 0.7702], phi:[0.4595]] | t^2.03 + 2*t^2.51 + t^2.76 + t^2.84 + t^3. + t^3.65 + t^3.73 + t^3.89 + 2*t^4.06 + t^4.21 + t^4.38 + 2*t^4.54 + t^4.7 + t^4.79 + t^4.86 + 4*t^5.03 + 2*t^5.27 + 2*t^5.35 + 2*t^5.51 + t^5.59 + t^5.67 + 2*t^5.76 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 890 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7095 | 0.8749 | 0.811 | [X:[], M:[1.0, 0.9171, 1.0829, 0.8342, 0.9171], q:[0.4378, 0.5622], qb:[0.4793, 0.6036], phi:[0.4793]] | t^2.5 + 2*t^2.75 + t^2.88 + t^3. + 2*t^3.12 + t^4.06 + t^4.19 + t^4.31 + t^4.44 + 2*t^4.56 + t^4.69 + t^4.81 + t^4.94 + t^5.01 + t^5.06 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 - t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 363 | 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_1^2$ + $ M_2M_3$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y | detail |