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 |
|---|---|---|---|---|---|---|---|---|---|
| 46886 | 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_3^2$ + $ M_1M_2$ | 0.7097 | 0.8751 | 0.811 | [X:[], M:[0.9161, 1.0839, 1.0, 0.8322, 0.9631, 0.953], q:[0.4765, 0.6074], qb:[0.4396, 0.5604], phi:[0.479]] | [X:[], M:[[-4, -4], [4, 4], [0, 0], [-8, -8], [4, -12], [-8, 8]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_1^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_6^2$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_3\phi_1^2$ | . | -2 | t^2.5 + t^2.75 + t^2.86 + t^2.87 + t^2.89 + t^3. + t^3.25 + t^4.07 + 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^4.99 + t^5.08 + t^5.25 + t^5.36 + t^5.37 + t^5.39 + t^5.5 + t^5.62 + t^5.72 + t^5.73 + 3*t^5.75 + t^5.76 + t^5.78 + t^5.87 - 2*t^6. + t^6.13 - t^6.25 - t^6.36 - t^6.39 + t^6.57 + t^6.68 + t^6.79 + t^6.82 + 2*t^6.93 + t^6.95 + t^6.96 + 2*t^7.04 + t^7.06 + 2*t^7.07 + t^7.16 + t^7.17 + 2*t^7.19 - t^7.2 + 2*t^7.3 + t^7.33 + t^7.41 + 2*t^7.44 + t^7.45 + t^7.47 + t^7.49 + 2*t^7.55 + t^7.58 + t^7.66 - t^7.7 + t^7.74 + t^7.8 + t^7.83 + t^7.85 + t^7.87 + t^7.88 - t^7.93 + t^7.94 + t^7.96 + t^7.97 + t^7.99 - t^8.07 + t^8.12 + t^8.15 + t^8.23 + 3*t^8.25 + 2*t^8.26 + t^8.28 + t^8.33 + 2*t^8.37 - t^8.39 + t^8.48 - 2*t^8.5 + t^8.51 + t^8.58 + 2*t^8.59 + t^8.61 + 4*t^8.62 + t^8.64 + 2*t^8.65 + t^8.67 + t^8.73 - 3*t^8.75 + t^8.76 + t^8.84 - 5*t^8.86 - 4*t^8.89 + 2*t^8.98 - t^4.44/y - t^6.93/y - t^7.3/y - t^7.31/y - t^7.33/y + t^7.55/y + t^7.56/y + t^7.58/y + t^7.94/y + t^8.25/y + t^8.36/y + t^8.37/y + t^8.39/y + t^8.5/y + t^8.61/y + t^8.62/y + t^8.64/y + t^8.73/y + (3*t^8.75)/y + t^8.76/y + t^8.86/y + t^8.87/y + t^8.89/y - t^4.44*y - t^6.93*y - t^7.3*y - t^7.31*y - t^7.33*y + t^7.55*y + t^7.56*y + t^7.58*y + t^7.94*y + t^8.25*y + t^8.36*y + t^8.37*y + t^8.39*y + t^8.5*y + t^8.61*y + t^8.62*y + t^8.64*y + t^8.73*y + 3*t^8.75*y + t^8.76*y + t^8.86*y + t^8.87*y + t^8.89*y | t^2.5/(g1^8*g2^8) + t^2.75/(g1^4*g2^4) + (g2^8*t^2.86)/g1^8 + t^2.87/(g1^2*g2^2) + (g1^4*t^2.89)/g2^12 + t^3. + g1^4*g2^4*t^3.25 + t^4.07/(g1*g2^17) + t^4.19/(g1^5*g2^5) + (g2^7*t^4.3)/g1^9 + t^4.44/(g1*g2) + (g2^11*t^4.55)/g1^5 + (g1^7*t^4.58)/g2^9 + g1^3*g2^3*t^4.69 + (g2^15*t^4.8)/g1 + g1^7*g2^7*t^4.94 + t^4.99/(g1^16*g2^16) + (g1^15*t^5.08)/g2 + t^5.25/(g1^12*g2^12) + t^5.36/g1^16 + t^5.37/(g1^10*g2^10) + t^5.39/(g1^4*g2^20) + t^5.5/(g1^8*g2^8) + t^5.62/(g1^6*g2^6) + (g2^16*t^5.72)/g1^16 + (g2^6*t^5.73)/g1^10 + (3*t^5.75)/(g1^4*g2^4) + (g1^2*t^5.76)/g2^14 + (g1^8*t^5.78)/g2^24 + t^5.87/(g1^2*g2^2) - 2*t^6. + g1^2*g2^2*t^6.13 - g1^4*g2^4*t^6.25 - g2^16*t^6.36 - (g1^12*t^6.39)/g2^4 + t^6.57/(g1^9*g2^25) + t^6.68/(g1^13*g2^13) + t^6.79/(g1^17*g2) + t^6.82/(g1^5*g2^21) + (2*t^6.93)/(g1^9*g2^9) + t^6.95/(g1^3*g2^19) + (g1^3*t^6.96)/g2^29 + (2*g2^3*t^7.04)/g1^13 + t^7.06/(g1^7*g2^7) + (2*t^7.07)/(g1*g2^17) + (g2^15*t^7.16)/g1^17 + (g2^5*t^7.17)/g1^11 + (2*t^7.19)/(g1^5*g2^5) - (g1*t^7.2)/g2^15 + (2*g2^7*t^7.3)/g1^9 + (g1^3*t^7.33)/g2^13 + (g2^19*t^7.41)/g1^13 + (2*t^7.44)/(g1*g2) + (g1^5*t^7.45)/g2^11 + (g1^11*t^7.47)/g2^21 + t^7.49/(g1^24*g2^24) + (2*g2^11*t^7.55)/g1^5 + (g1^7*t^7.58)/g2^9 + (g2^23*t^7.66)/g1^9 - (g1^9*t^7.7)/g2^7 + t^7.74/(g1^20*g2^20) + (g2^15*t^7.8)/g1 + (g1^11*t^7.83)/g2^5 + t^7.85/(g1^24*g2^8) + t^7.87/(g1^18*g2^18) + t^7.88/(g1^12*g2^28) - g1*g2^17*t^7.93 + g1^7*g2^7*t^7.94 + (g1^13*t^7.96)/g2^3 + (g1^19*t^7.97)/g2^13 + t^7.99/(g1^16*g2^16) - g1^9*g2^9*t^8.07 + t^8.12/(g1^14*g2^14) + t^8.15/(g1^2*g2^34) - g1^17*g2*t^8.21 + (g2^8*t^8.21)/g1^24 + t^8.23/(g1^18*g2^2) + (3*t^8.25)/(g1^12*g2^12) + (2*t^8.26)/(g1^6*g2^22) + t^8.28/g2^32 + g1^19*g2^3*t^8.33 + (2*t^8.37)/(g1^10*g2^10) - t^8.39/(g1^4*g2^20) + (g2^2*t^8.48)/g1^14 - (2*t^8.5)/(g1^8*g2^8) + t^8.51/(g1^2*g2^18) + (g2^24*t^8.58)/g1^24 + (2*g2^14*t^8.59)/g1^18 + (g2^4*t^8.61)/g1^12 + (4*t^8.62)/(g1^6*g2^6) + t^8.64/g2^16 + (2*g1^6*t^8.65)/g2^26 + (g1^12*t^8.67)/g2^36 + (g2^6*t^8.73)/g1^10 - (3*t^8.75)/(g1^4*g2^4) + (g1^2*t^8.76)/g2^14 + (g2^18*t^8.84)/g1^14 - (5*g2^8*t^8.86)/g1^8 - (4*g1^4*t^8.89)/g2^12 + (2*g2^10*t^8.98)/g1^6 - t^4.44/(g1*g2*y) - t^6.93/(g1^9*g2^9*y) - (g2^7*t^7.3)/(g1^9*y) - t^7.31/(g1^3*g2^3*y) - (g1^3*t^7.33)/(g2^13*y) + (g2^11*t^7.55)/(g1^5*y) + (g1*g2*t^7.56)/y + (g1^7*t^7.58)/(g2^9*y) + (g1^7*g2^7*t^7.94)/y + t^8.25/(g1^12*g2^12*y) + t^8.36/(g1^16*y) + t^8.37/(g1^10*g2^10*y) + t^8.39/(g1^4*g2^20*y) + t^8.5/(g1^8*g2^8*y) + (g2^4*t^8.61)/(g1^12*y) + t^8.62/(g1^6*g2^6*y) + t^8.64/(g2^16*y) + (g2^6*t^8.73)/(g1^10*y) + (3*t^8.75)/(g1^4*g2^4*y) + (g1^2*t^8.76)/(g2^14*y) + (g2^8*t^8.86)/(g1^8*y) + t^8.87/(g1^2*g2^2*y) + (g1^4*t^8.89)/(g2^12*y) - (t^4.44*y)/(g1*g2) - (t^6.93*y)/(g1^9*g2^9) - (g2^7*t^7.3*y)/g1^9 - (t^7.31*y)/(g1^3*g2^3) - (g1^3*t^7.33*y)/g2^13 + (g2^11*t^7.55*y)/g1^5 + g1*g2*t^7.56*y + (g1^7*t^7.58*y)/g2^9 + g1^7*g2^7*t^7.94*y + (t^8.25*y)/(g1^12*g2^12) + (t^8.36*y)/g1^16 + (t^8.37*y)/(g1^10*g2^10) + (t^8.39*y)/(g1^4*g2^20) + (t^8.5*y)/(g1^8*g2^8) + (g2^4*t^8.61*y)/g1^12 + (t^8.62*y)/(g1^6*g2^6) + (t^8.64*y)/g2^16 + (g2^6*t^8.73*y)/g1^10 + (3*t^8.75*y)/(g1^4*g2^4) + (g1^2*t^8.76*y)/g2^14 + (g2^8*t^8.86*y)/g1^8 + (t^8.87*y)/(g1^2*g2^2) + (g1^4*t^8.89*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55316 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_2$ + $ M_2M_7$ | 0.7181 | 0.8914 | 0.8055 | [X:[], M:[0.9004, 1.0996, 1.0, 0.8008, 0.9573, 0.9431, 0.9004], q:[0.4716, 0.628], qb:[0.4289, 0.5711], phi:[0.4751]] | t^2.4 + 2*t^2.7 + t^2.83 + t^2.85 + t^2.87 + t^3. + t^4. + t^4.13 + t^4.25 + t^4.43 + t^4.55 + t^4.6 + t^4.72 + t^4.81 + t^4.85 + t^5.02 + 2*t^5.1 + t^5.19 + t^5.23 + t^5.25 + t^5.27 + 3*t^5.4 + t^5.53 + 2*t^5.55 + t^5.57 + t^5.66 + t^5.68 + 3*t^5.7 + t^5.72 + t^5.74 + t^5.85 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 50855 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_2$ + $ M_4M_5$ | 0.6974 | 0.8566 | 0.8141 | [X:[], M:[0.9722, 1.0278, 1.0, 0.9445, 1.0555, 0.9167], q:[0.4584, 0.5694], qb:[0.5139, 0.4861], phi:[0.4931]] | t^2.75 + t^2.83 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.17 + t^4.23 + t^4.31 + 2*t^4.4 + t^4.48 + 2*t^4.56 + t^4.65 + t^4.73 + t^4.9 + t^5.5 + t^5.58 + t^5.67 + t^5.71 + t^5.75 + t^5.79 + t^5.83 + t^5.88 + 2*t^5.92 + t^5.96 - t^6. - t^4.48/y - t^4.48*y | detail | |
| 52003 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_2$ + $ M_6\phi_1^2$ | 0.7048 | 0.8677 | 0.8122 | [X:[], M:[0.9391, 1.0609, 1.0, 0.8782, 0.9086, 1.0305], q:[0.5152, 0.5457], qb:[0.4239, 0.5761], phi:[0.4848]] | t^2.63 + t^2.73 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^3.18 + t^4. + t^4.27 + t^4.36 + t^4.45 + t^4.55 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.91 + t^5.27 + t^5.36 + 2*t^5.45 + t^5.54 + 2*t^5.63 + 2*t^5.73 + 3*t^5.82 + t^5.91 - t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46434 | 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_3^2$ | 0.7674 | 0.9598 | 0.7995 | [X:[], M:[0.6694, 0.8347, 1.0, 0.8347, 0.8347, 0.8347], q:[0.6653, 0.6653], qb:[0.5, 0.5], phi:[0.4174]] | t^2.01 + 5*t^2.5 + t^3. + t^4.02 + 3*t^4.25 + 5*t^4.51 + 4*t^4.75 + 16*t^5.01 + 3*t^5.24 + t^5.5 - 7*t^6. - t^4.25/y - t^4.25*y | detail |