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 |
|---|---|---|---|---|---|---|---|---|---|
| 2889 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6123 | 0.7902 | 0.7749 | [M:[0.8454, 1.0773, 1.0, 1.1546, 0.6908, 0.6933], q:[0.6147, 0.5399], qb:[0.2307, 0.7693], phi:[0.4613]] | [M:[[-8], [4], [0], [8], [-16], [10]], q:[[-7], [15]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.072 + t^2.08 + t^2.312 + t^2.536 + t^2.768 + t^3. + t^3.232 + t^3.464 + t^3.696 + t^4.145 + 2*t^4.152 + t^4.16 + t^4.384 + t^4.392 + t^4.608 + t^4.616 + 2*t^4.623 + t^4.84 + 2*t^4.848 + 2*t^5.072 + 2*t^5.08 + 2*t^5.304 + 2*t^5.312 + 3*t^5.536 + 2*t^5.544 + 2*t^5.768 + t^5.776 - t^6. + t^6.008 + t^6.217 + t^6.224 + 3*t^6.232 + t^6.239 + 3*t^6.464 + t^6.471 + t^6.681 + t^6.688 + 3*t^6.696 + 2*t^6.703 + t^6.913 + t^6.92 + 2*t^6.928 + 2*t^6.935 + 2*t^7.145 + 2*t^7.152 + 3*t^7.16 + 2*t^7.377 + 2*t^7.384 + 4*t^7.392 + 3*t^7.608 + 3*t^7.616 + 3*t^7.623 + 2*t^7.84 + 3*t^7.848 + 2*t^7.855 + 2*t^8.087 + t^8.289 + t^8.297 + 4*t^8.304 + t^8.312 + 3*t^8.319 + 2*t^8.544 + t^8.551 + t^8.753 + t^8.761 + 5*t^8.776 + 2*t^8.783 + t^8.985 - t^4.384/y - t^6.456/y - t^6.464/y + t^7.152/y + t^7.384/y + t^7.392/y + t^7.608/y + t^7.616/y + t^7.84/y + (2*t^7.848)/y + t^8.072/y + (2*t^8.08)/y + (3*t^8.304)/y + (3*t^8.312)/y - t^8.529/y + t^8.536/y + t^8.544/y + (3*t^8.768)/y + (2*t^8.776)/y - t^4.384*y - t^6.456*y - t^6.464*y + t^7.152*y + t^7.384*y + t^7.392*y + t^7.608*y + t^7.616*y + t^7.84*y + 2*t^7.848*y + t^8.072*y + 2*t^8.08*y + 3*t^8.304*y + 3*t^8.312*y - t^8.529*y + t^8.536*y + t^8.544*y + 3*t^8.768*y + 2*t^8.776*y | t^2.072/g1^16 + g1^10*t^2.08 + g1^14*t^2.312 + t^2.536/g1^8 + t^2.768/g1^4 + t^3. + g1^4*t^3.232 + g1^8*t^3.464 + g1^12*t^3.696 + t^4.145/g1^32 + (2*t^4.152)/g1^6 + g1^20*t^4.16 + t^4.384/g1^2 + g1^24*t^4.392 + t^4.608/g1^24 + g1^2*t^4.616 + 2*g1^28*t^4.623 + t^4.84/g1^20 + 2*g1^6*t^4.848 + (2*t^5.072)/g1^16 + 2*g1^10*t^5.08 + (2*t^5.304)/g1^12 + 2*g1^14*t^5.312 + (3*t^5.536)/g1^8 + 2*g1^18*t^5.544 + (2*t^5.768)/g1^4 + g1^22*t^5.776 - t^6. + g1^26*t^6.008 + t^6.217/g1^48 + t^6.224/g1^22 + 3*g1^4*t^6.232 + g1^30*t^6.239 + 3*g1^8*t^6.464 + g1^34*t^6.471 + t^6.681/g1^40 + t^6.688/g1^14 + 3*g1^12*t^6.696 + 2*g1^38*t^6.703 + t^6.913/g1^36 + t^6.92/g1^10 + 2*g1^16*t^6.928 + 2*g1^42*t^6.935 + (2*t^7.145)/g1^32 + (2*t^7.152)/g1^6 + 3*g1^20*t^7.16 + (2*t^7.377)/g1^28 + (2*t^7.384)/g1^2 + 4*g1^24*t^7.392 + (3*t^7.608)/g1^24 + 3*g1^2*t^7.616 + 3*g1^28*t^7.623 + (2*t^7.84)/g1^20 + 3*g1^6*t^7.848 + 2*g1^32*t^7.855 + 2*g1^36*t^8.087 + t^8.289/g1^64 + t^8.297/g1^38 + (4*t^8.304)/g1^12 + g1^14*t^8.312 + 3*g1^40*t^8.319 + 2*g1^18*t^8.544 + g1^44*t^8.551 + t^8.753/g1^56 + t^8.761/g1^30 + 5*g1^22*t^8.776 + 2*g1^48*t^8.783 + t^8.985/g1^52 - t^4.384/(g1^2*y) - t^6.456/(g1^18*y) - (g1^8*t^6.464)/y + t^7.152/(g1^6*y) + t^7.384/(g1^2*y) + (g1^24*t^7.392)/y + t^7.608/(g1^24*y) + (g1^2*t^7.616)/y + t^7.84/(g1^20*y) + (2*g1^6*t^7.848)/y + t^8.072/(g1^16*y) + (2*g1^10*t^8.08)/y + (3*t^8.304)/(g1^12*y) + (3*g1^14*t^8.312)/y - t^8.529/(g1^34*y) + t^8.536/(g1^8*y) + (g1^18*t^8.544)/y + (3*t^8.768)/(g1^4*y) + (2*g1^22*t^8.776)/y - (t^4.384*y)/g1^2 - (t^6.456*y)/g1^18 - g1^8*t^6.464*y + (t^7.152*y)/g1^6 + (t^7.384*y)/g1^2 + g1^24*t^7.392*y + (t^7.608*y)/g1^24 + g1^2*t^7.616*y + (t^7.84*y)/g1^20 + 2*g1^6*t^7.848*y + (t^8.072*y)/g1^16 + 2*g1^10*t^8.08*y + (3*t^8.304*y)/g1^12 + 3*g1^14*t^8.312*y - (t^8.529*y)/g1^34 + (t^8.536*y)/g1^8 + g1^18*t^8.544*y + (3*t^8.768*y)/g1^4 + 2*g1^22*t^8.776*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 |
|---|---|---|---|---|---|---|---|---|
| 3459 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{7}$ | 0.6261 | 0.8136 | 0.7695 | [M:[0.8379, 1.0811, 1.0, 1.1621, 0.6757, 0.7027, 0.8379], q:[0.6081, 0.554], qb:[0.2297, 0.7703], phi:[0.4595]] | t^2.027 + t^2.108 + t^2.351 + 2*t^2.514 + t^2.757 + t^3. + t^3.243 + t^3.73 + t^4.054 + 2*t^4.135 + t^4.216 + t^4.378 + t^4.459 + 2*t^4.541 + 2*t^4.622 + 2*t^4.703 + t^4.784 + 3*t^4.865 + 4*t^5.027 + 2*t^5.108 + 3*t^5.27 + 2*t^5.351 + 3*t^5.514 + t^5.594 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y | detail | |
| 3460 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}X_{1}$ | 0.5883 | 0.7417 | 0.7932 | [X:[1.3636], M:[0.8182, 1.0909, 1.0, 1.1818, 0.6364, 0.7273], q:[0.5909, 0.5909], qb:[0.2273, 0.7727], phi:[0.4545]] | t^2.182 + 2*t^2.455 + t^2.727 + t^3. + t^3.273 + t^3.545 + t^3.818 + 2*t^4.091 + t^4.364 + 2*t^4.636 + 5*t^4.909 + 3*t^5.182 + 4*t^5.455 + 3*t^5.727 - t^6. - t^4.364/y - t^4.364*y | detail | {a: 783/1331, c: 15795/21296, X1: 15/11, M1: 9/11, M2: 12/11, M3: 1, M4: 13/11, M5: 7/11, M6: 8/11, q1: 13/22, q2: 13/22, qb1: 5/22, qb2: 17/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1876 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5917 | 0.7504 | 0.7885 | [M:[0.8433, 1.0783, 1.0, 1.1567, 0.6867], q:[0.6129, 0.5438], qb:[0.2304, 0.7696], phi:[0.4608]] | t^2.06 + t^2.323 + t^2.53 + t^2.765 + t^3. + t^3.235 + t^3.47 + t^3.705 + t^3.912 + t^4.12 + t^4.147 + t^4.382 + t^4.59 + 2*t^4.645 + t^4.825 + t^4.853 + 2*t^5.06 + t^5.088 + 2*t^5.295 + t^5.323 + 3*t^5.53 + t^5.558 + 2*t^5.765 + t^5.972 - t^6. - t^4.382/y - t^4.382*y | detail |