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 |
|---|---|---|---|---|---|---|---|---|---|
| 48232 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_6$ | 0.7033 | 0.8629 | 0.815 | [X:[], M:[1.0721, 0.9677, 0.9279, 0.9602, 1.0, 0.9279], q:[0.4801, 0.4478], qb:[0.5522, 0.592], phi:[0.482]] | [X:[], M:[[4, 4], [-12, 4], [-4, -4], [8, -8], [0, 0], [-4, -4]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_4$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_4^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_2^2$, $ M_5\phi_1^2$ | . | 2*t^2.78 + t^2.88 + t^2.89 + t^2.9 + t^3. + t^3.43 + t^4.13 + t^4.23 + t^4.33 + t^4.45 + t^4.54 + t^4.57 + t^4.66 + t^4.76 + t^4.88 + t^5. + 2*t^5.57 + t^5.66 + 2*t^5.68 + t^5.69 + t^5.76 + t^5.77 + 3*t^5.78 + t^5.8 + t^5.81 + t^5.89 - 3*t^6. - t^6.1 - t^6.12 + t^6.32 + t^6.87 + 2*t^6.92 + 2*t^7.01 + t^7.02 + t^7.04 + 2*t^7.11 + t^7.12 + t^7.13 + t^7.21 + t^7.22 + 2*t^7.23 - t^7.24 + 2*t^7.33 + t^7.35 + t^7.42 + t^7.45 + t^7.46 + t^7.47 + 2*t^7.54 + t^7.57 + t^7.64 + t^7.66 - t^7.67 + t^7.76 + t^7.78 - t^7.87 + t^7.88 + t^7.89 + t^7.9 - t^7.99 + t^8. - t^8.11 + t^8.19 + t^8.27 + t^8.31 + 2*t^8.35 + t^8.36 + t^8.43 + t^8.45 + 3*t^8.46 + t^8.54 + 2*t^8.56 + 3*t^8.57 + 2*t^8.58 + t^8.59 + t^8.64 + 2*t^8.65 + t^8.66 + 4*t^8.68 + t^8.69 + 2*t^8.7 + t^8.71 + t^8.77 - 5*t^8.78 + t^8.8 + t^8.87 - 5*t^8.88 - t^8.89 - 4*t^8.9 - t^8.98 + t^8.99 - t^4.45/y - t^7.23/y - t^7.33/y - t^7.34/y - t^7.35/y + t^7.54/y + t^7.55/y + t^7.57/y + t^7.66/y + t^8.57/y + (2*t^8.66)/y + (2*t^8.68)/y + (2*t^8.69)/y + t^8.77/y + (3*t^8.78)/y + t^8.8/y + t^8.88/y + t^8.89/y + t^8.9/y - t^4.45*y - t^7.23*y - t^7.33*y - t^7.34*y - t^7.35*y + t^7.54*y + t^7.55*y + t^7.57*y + t^7.66*y + t^8.57*y + 2*t^8.66*y + 2*t^8.68*y + 2*t^8.69*y + t^8.77*y + 3*t^8.78*y + t^8.8*y + t^8.88*y + t^8.89*y + t^8.9*y | (2*t^2.78)/(g1^4*g2^4) + (g1^8*t^2.88)/g2^8 + t^2.89/(g1^2*g2^2) + (g2^4*t^2.9)/g1^12 + t^3. + g1^8*g2^8*t^3.43 + t^4.13/(g1^17*g2) + t^4.23/(g1^5*g2^5) + (g1^7*t^4.33)/g2^9 + t^4.45/(g1*g2) + (g1^11*t^4.54)/g2^5 + (g2^7*t^4.57)/g1^9 + g1^3*g2^3*t^4.66 + (g1^15*t^4.76)/g2 + g1^7*g2^7*t^4.88 + (g2^15*t^5.)/g1 + (2*t^5.57)/(g1^8*g2^8) + (g1^4*t^5.66)/g2^12 + (2*t^5.68)/(g1^6*g2^6) + t^5.69/g1^16 + (g1^16*t^5.76)/g2^16 + (g1^6*t^5.77)/g2^10 + (3*t^5.78)/(g1^4*g2^4) + (g2^2*t^5.8)/g1^14 + (g2^8*t^5.81)/g1^24 + t^5.89/(g1^2*g2^2) - 3*t^6. - (g1^12*t^6.1)/g2^4 - (g2^8*t^6.12)/g1^8 + g1^6*g2^6*t^6.32 + g1^16*g2^16*t^6.87 + (2*t^6.92)/(g1^21*g2^5) + (2*t^7.01)/(g1^9*g2^9) + t^7.02/(g1^19*g2^3) + (g2^3*t^7.04)/g1^29 + (2*g1^3*t^7.11)/g2^13 + t^7.12/(g1^7*g2^7) + t^7.13/(g1^17*g2) + (g1^15*t^7.21)/g2^17 + (g1^5*t^7.22)/g2^11 + (2*t^7.23)/(g1^5*g2^5) - (g2*t^7.24)/g1^15 + (2*g1^7*t^7.33)/g2^9 + (g2^3*t^7.35)/g1^13 + (g1^19*t^7.42)/g2^13 + t^7.45/(g1*g2) + (g2^5*t^7.46)/g1^11 + (g2^11*t^7.47)/g1^21 + (2*g1^11*t^7.54)/g2^5 + (g2^7*t^7.57)/g1^9 + (g1^23*t^7.64)/g2^9 + g1^3*g2^3*t^7.66 - (g2^9*t^7.67)/g1^7 + (g1^15*t^7.76)/g2 + (g2^11*t^7.78)/g1^5 - g1^17*g2*t^7.87 + g1^7*g2^7*t^7.88 + (g2^13*t^7.89)/g1^3 + (g2^19*t^7.9)/g1^13 - g1^9*g2^9*t^7.99 + (g2^15*t^8.)/g1 - g1*g2^17*t^8.11 + g1^23*g2^7*t^8.19 + t^8.27/(g1^34*g2^2) + g1^15*g2^15*t^8.31 + (2*t^8.35)/(g1^12*g2^12) + t^8.36/(g1^22*g2^6) + g1^7*g2^23*t^8.43 + t^8.45/g2^16 + (3*t^8.46)/(g1^10*g2^10) + (g1^12*t^8.54)/g2^20 + (2*g1^2*t^8.56)/g2^14 + (3*t^8.57)/(g1^8*g2^8) + (2*t^8.58)/(g1^18*g2^2) + (g2^4*t^8.59)/g1^28 + (g1^24*t^8.64)/g2^24 + (2*g1^14*t^8.65)/g2^18 + (g1^4*t^8.66)/g2^12 + (4*t^8.68)/(g1^6*g2^6) + t^8.69/g1^16 + (2*g2^6*t^8.7)/g1^26 + (g2^12*t^8.71)/g1^36 + (g1^6*t^8.77)/g2^10 - (5*t^8.78)/(g1^4*g2^4) + (g2^2*t^8.8)/g1^14 + (g1^18*t^8.87)/g2^14 - (5*g1^8*t^8.88)/g2^8 - t^8.89/(g1^2*g2^2) - (4*g2^4*t^8.9)/g1^12 - (g1^20*t^8.98)/g2^12 + (g1^10*t^8.99)/g2^6 - t^4.45/(g1*g2*y) - t^7.23/(g1^5*g2^5*y) - (g1^7*t^7.33)/(g2^9*y) - t^7.34/(g1^3*g2^3*y) - (g2^3*t^7.35)/(g1^13*y) + (g1^11*t^7.54)/(g2^5*y) + (g1*g2*t^7.55)/y + (g2^7*t^7.57)/(g1^9*y) + (g1^3*g2^3*t^7.66)/y + t^8.57/(g1^8*g2^8*y) + (2*g1^4*t^8.66)/(g2^12*y) + (2*t^8.68)/(g1^6*g2^6*y) + (2*t^8.69)/(g1^16*y) + (g1^6*t^8.77)/(g2^10*y) + (3*t^8.78)/(g1^4*g2^4*y) + (g2^2*t^8.8)/(g1^14*y) + (g1^8*t^8.88)/(g2^8*y) + t^8.89/(g1^2*g2^2*y) + (g2^4*t^8.9)/(g1^12*y) - (t^4.45*y)/(g1*g2) - (t^7.23*y)/(g1^5*g2^5) - (g1^7*t^7.33*y)/g2^9 - (t^7.34*y)/(g1^3*g2^3) - (g2^3*t^7.35*y)/g1^13 + (g1^11*t^7.54*y)/g2^5 + g1*g2*t^7.55*y + (g2^7*t^7.57*y)/g1^9 + g1^3*g2^3*t^7.66*y + (t^8.57*y)/(g1^8*g2^8) + (2*g1^4*t^8.66*y)/g2^12 + (2*t^8.68*y)/(g1^6*g2^6) + (2*t^8.69*y)/g1^16 + (g1^6*t^8.77*y)/g2^10 + (3*t^8.78*y)/(g1^4*g2^4) + (g2^2*t^8.8*y)/g1^14 + (g1^8*t^8.88*y)/g2^8 + (t^8.89*y)/(g1^2*g2^2) + (g2^4*t^8.9*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55955 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_6$ + $ M_2M_3$ | 0.698 | 0.8561 | 0.8153 | [X:[], M:[1.0398, 1.0398, 0.9602, 0.9204, 1.0, 0.9602], q:[0.4602, 0.5], qb:[0.5, 0.5796], phi:[0.4901]] | t^2.76 + 2*t^2.88 + t^2.94 + t^3. + t^3.12 + t^3.24 + t^4.23 + 2*t^4.35 + 3*t^4.47 + t^4.59 + 2*t^4.71 + t^4.95 + t^5.52 + t^5.64 + t^5.7 + 2*t^5.76 + 2*t^5.82 + 2*t^5.88 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 55958 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_6$ + $ M_2\phi_1^2$ | 0.7002 | 0.859 | 0.8152 | [X:[], M:[1.0536, 1.0268, 0.9464, 0.9196, 1.0, 0.9464], q:[0.4598, 0.4866], qb:[0.5134, 0.5938], phi:[0.4866]] | t^2.76 + 2*t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.32 + t^4.22 + t^4.3 + 2*t^4.38 + t^4.46 + t^4.54 + t^4.62 + t^4.7 + t^4.78 + t^5.02 + t^5.52 + t^5.6 + 3*t^5.68 + 2*t^5.76 + 3*t^5.84 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 52098 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_6$ + $ M_3M_4$ | 0.6978 | 0.8558 | 0.8154 | [X:[], M:[1.0378, 0.9244, 0.9622, 1.0378, 1.0, 0.9622], q:[0.5189, 0.4433], qb:[0.5567, 0.5189], phi:[0.4906]] | t^2.77 + 2*t^2.89 + t^2.94 + t^3. + t^3.11 + t^3.23 + t^4.13 + 2*t^4.36 + t^4.47 + 3*t^4.59 + 2*t^4.7 + t^4.81 + t^5.55 + t^5.66 + t^5.72 + 2*t^5.77 + 2*t^5.83 + 2*t^5.89 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46761 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ | 0.6976 | 0.853 | 0.8178 | [X:[], M:[1.0518, 0.9761, 0.9482, 0.9721, 1.0], q:[0.4861, 0.4621], qb:[0.5379, 0.5657], phi:[0.487]] | t^2.84 + 2*t^2.92 + t^2.93 + t^3. + t^3.16 + t^3.31 + t^4.23 + t^4.31 + t^4.38 + t^4.46 + t^4.53 + t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^4.86 + t^5.77 + t^5.83 + 3*t^5.84 + t^5.85 + t^5.86 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail |