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 |
|---|---|---|---|---|---|---|---|---|---|
| 1622 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6708 | 0.8321 | 0.8061 | [M:[1.1715, 1.1047, 0.9622, 1.0, 0.8285, 0.8285, 0.7617], q:[0.7762, 0.4332], qb:[0.3953, 0.6047], phi:[0.4477]] | [M:[[-3], [4], [-11], [0], [3], [3], [10]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{7}q_{1}q_{2}$ | ${}$ | -2 | t^2.285 + 2*t^2.485 + t^2.887 + t^3. + t^3.314 + t^3.628 + t^3.828 + t^3.942 + t^4.142 + t^4.343 + t^4.456 + t^4.57 + 2*t^4.77 + 4*t^4.971 + t^5.172 + t^5.285 + t^5.372 + t^5.485 + t^5.599 + t^5.773 + 2*t^5.799 + t^5.913 - 2*t^6. + 2*t^6.113 + t^6.227 + 2*t^6.314 + 3*t^6.427 - t^6.515 + 3*t^6.628 + t^6.741 + t^6.828 + t^6.855 + 3*t^6.942 - t^7.029 + 2*t^7.055 + 5*t^7.256 - t^7.343 + 7*t^7.456 + 2*t^7.57 + t^7.657 + 3*t^7.77 + 2*t^7.884 + t^7.971 + t^8.058 + 3*t^8.084 - t^8.172 + t^8.198 + t^8.259 + 2*t^8.285 - t^8.372 + 3*t^8.398 - 5*t^8.485 + t^8.512 + 4*t^8.599 + t^8.66 - t^8.686 + 3*t^8.712 + t^8.799 - 2*t^8.887 + 7*t^8.913 - t^4.343/y - t^6.628/y - t^6.828/y - t^7.23/y + t^7.456/y + (2*t^7.77)/y + t^7.858/y + t^7.971/y + t^8.058/y + t^8.172/y + t^8.285/y + (2*t^8.372)/y + (2*t^8.485)/y + t^8.599/y + (2*t^8.799)/y + t^8.887/y - t^4.343*y - t^6.628*y - t^6.828*y - t^7.23*y + t^7.456*y + 2*t^7.77*y + t^7.858*y + t^7.971*y + t^8.058*y + t^8.172*y + t^8.285*y + 2*t^8.372*y + 2*t^8.485*y + t^8.599*y + 2*t^8.799*y + t^8.887*y | g1^10*t^2.285 + 2*g1^3*t^2.485 + t^2.887/g1^11 + t^3. + g1^4*t^3.314 + g1^8*t^3.628 + g1*t^3.828 + g1^12*t^3.942 + g1^5*t^4.142 + t^4.343/g1^2 + g1^9*t^4.456 + g1^20*t^4.57 + 2*g1^13*t^4.77 + 4*g1^6*t^4.971 + t^5.172/g1 + g1^10*t^5.285 + t^5.372/g1^8 + g1^3*t^5.485 + g1^14*t^5.599 + t^5.773/g1^22 + 2*g1^7*t^5.799 + g1^18*t^5.913 - 2*t^6. + 2*g1^11*t^6.113 + g1^22*t^6.227 + 2*g1^4*t^6.314 + 3*g1^15*t^6.427 - t^6.515/g1^3 + 3*g1^8*t^6.628 + g1^19*t^6.741 + g1*t^6.828 + g1^30*t^6.855 + 3*g1^12*t^6.942 - t^7.029/g1^6 + 2*g1^23*t^7.055 + 5*g1^16*t^7.256 - t^7.343/g1^2 + 7*g1^9*t^7.456 + 2*g1^20*t^7.57 + g1^2*t^7.657 + 3*g1^13*t^7.77 + 2*g1^24*t^7.884 + g1^6*t^7.971 + t^8.058/g1^12 + 3*g1^17*t^8.084 - t^8.172/g1 + g1^28*t^8.198 + t^8.259/g1^19 + 2*g1^10*t^8.285 - t^8.372/g1^8 + 3*g1^21*t^8.398 - 5*g1^3*t^8.485 + g1^32*t^8.512 + 4*g1^14*t^8.599 + t^8.66/g1^33 - t^8.686/g1^4 + 3*g1^25*t^8.712 + g1^7*t^8.799 - (2*t^8.887)/g1^11 + 7*g1^18*t^8.913 - t^4.343/(g1^2*y) - (g1^8*t^6.628)/y - (g1*t^6.828)/y - t^7.23/(g1^13*y) + (g1^9*t^7.456)/y + (2*g1^13*t^7.77)/y + t^7.858/(g1^5*y) + (g1^6*t^7.971)/y + t^8.058/(g1^12*y) + t^8.172/(g1*y) + (g1^10*t^8.285)/y + (2*t^8.372)/(g1^8*y) + (2*g1^3*t^8.485)/y + (g1^14*t^8.599)/y + (2*g1^7*t^8.799)/y + t^8.887/(g1^11*y) - (t^4.343*y)/g1^2 - g1^8*t^6.628*y - g1*t^6.828*y - (t^7.23*y)/g1^13 + g1^9*t^7.456*y + 2*g1^13*t^7.77*y + (t^7.858*y)/g1^5 + g1^6*t^7.971*y + (t^8.058*y)/g1^12 + (t^8.172*y)/g1 + g1^10*t^8.285*y + (2*t^8.372*y)/g1^8 + 2*g1^3*t^8.485*y + g1^14*t^8.599*y + 2*g1^7*t^8.799*y + (t^8.887*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4014 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6135 | 0.751 | 0.8169 | [M:[1.1, 1.2, 0.7, 1.0, 0.9, 0.9, 1.0], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | t^2.1 + 2*t^2.7 + 2*t^3. + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + 2*t^4.8 + 2*t^5.1 + 4*t^5.4 + 3*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 1227/2000, c: 751/1000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 9/10, M7: 1, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
| 4015 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6916 | 0.8724 | 0.7927 | [M:[1.1702, 1.1064, 0.9573, 1.0, 0.8298, 0.8298, 0.7661, 0.6807], q:[0.7766, 0.4363], qb:[0.3936, 0.6064], phi:[0.4468]] | t^2.042 + t^2.298 + 2*t^2.49 + t^2.872 + t^3. + t^3.319 + t^3.639 + t^3.83 + t^4.084 + t^4.149 + 2*t^4.34 + t^4.469 + 2*t^4.531 + t^4.597 + 2*t^4.788 + t^4.914 + 4*t^4.979 + t^5.042 + t^5.17 + t^5.298 + 2*t^5.361 + t^5.49 + t^5.618 + t^5.681 + t^5.744 + 2*t^5.809 + t^5.872 + t^5.937 - 2*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1039 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6529 | 0.7983 | 0.8178 | [M:[1.1633, 1.1155, 0.9323, 1.0, 0.8367, 0.8367], q:[0.7789, 0.4522], qb:[0.3845, 0.6155], phi:[0.4422]] | 2*t^2.51 + t^2.797 + t^3. + t^3.347 + t^3.633 + t^3.693 + t^3.837 + t^4.04 + t^4.183 + t^4.327 + t^4.53 + 4*t^5.02 + t^5.307 + t^5.51 + t^5.594 + 2*t^5.857 - 2*t^6. - t^4.327/y - t^4.327*y | detail |