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 |
|---|---|---|---|---|---|---|---|---|---|
| 2885 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6815 | 0.8594 | 0.793 | [M:[0.8466, 1.0767, 1.0, 1.1534, 0.6932, 0.6917], q:[0.3842, 0.7692], qb:[0.4624, 0.5376], phi:[0.4617]] | [M:[[-8], [4], [0], [8], [-16], [10]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.075 + t^2.08 + t^2.54 + t^2.765 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.695 + 2*t^4.15 + t^4.155 + 2*t^4.159 + t^4.385 + t^4.611 + t^4.615 + t^4.62 + t^4.841 + t^4.845 + t^5.075 + 2*t^5.08 + 2*t^5.305 + t^5.31 + t^5.531 + t^5.535 + t^5.54 + t^5.765 + 3*t^5.77 + t^5.995 - t^6. + 2*t^6.226 + 3*t^6.23 + 2*t^6.235 + 2*t^6.239 + t^6.456 + 2*t^6.46 + t^6.686 + 3*t^6.69 + t^6.695 + 2*t^6.699 + 2*t^6.916 + t^6.92 + 2*t^6.925 + 3*t^7.15 + t^7.155 + 2*t^7.159 + t^7.376 + 3*t^7.38 + t^7.385 + 2*t^7.389 + t^7.606 + 2*t^7.611 + t^7.615 + t^7.62 + 2*t^7.841 + 3*t^7.845 + 2*t^7.85 + t^7.854 + 2*t^8.071 - t^8.075 - t^8.08 + t^8.296 + 3*t^8.301 + 2*t^8.305 + 4*t^8.31 + t^8.314 + 3*t^8.319 + t^8.531 + 3*t^8.535 - 2*t^8.54 + t^8.544 + 3*t^8.761 + 4*t^8.77 + 2*t^8.774 + 2*t^8.779 + 2*t^8.991 + 3*t^8.995 - t^4.385/y - t^6.46/y - t^6.465/y + t^7.155/y + t^7.615/y + t^7.62/y + t^7.841/y + t^7.845/y + t^8.075/y + t^8.08/y + (3*t^8.305)/y + (2*t^8.31)/y + t^8.54/y - t^8.544/y + (2*t^8.765)/y + (3*t^8.77)/y + t^8.774/y + t^8.995/y - t^4.385*y - t^6.46*y - t^6.465*y + t^7.155*y + t^7.615*y + t^7.62*y + t^7.841*y + t^7.845*y + t^8.075*y + t^8.08*y + 3*t^8.305*y + 2*t^8.31*y + t^8.54*y - t^8.544*y + 2*t^8.765*y + 3*t^8.77*y + t^8.774*y + t^8.995*y | g1^10*t^2.075 + t^2.08/g1^16 + t^2.54/g1^8 + g1^22*t^2.765 + t^3. + g1^4*t^3.23 + g1^8*t^3.46 + g1^12*t^3.69 + t^3.695/g1^14 + 2*g1^20*t^4.15 + t^4.155/g1^6 + (2*t^4.159)/g1^32 + t^4.385/g1^2 + g1^28*t^4.611 + g1^2*t^4.615 + t^4.62/g1^24 + g1^32*t^4.841 + g1^6*t^4.845 + g1^10*t^5.075 + (2*t^5.08)/g1^16 + 2*g1^14*t^5.305 + t^5.31/g1^12 + g1^44*t^5.531 + g1^18*t^5.535 + t^5.54/g1^8 + g1^22*t^5.765 + (3*t^5.77)/g1^4 + g1^26*t^5.995 - t^6. + 2*g1^30*t^6.226 + 3*g1^4*t^6.23 + (2*t^6.235)/g1^22 + (2*t^6.239)/g1^48 + g1^34*t^6.456 + 2*g1^8*t^6.46 + g1^38*t^6.686 + 3*g1^12*t^6.69 + t^6.695/g1^14 + (2*t^6.699)/g1^40 + 2*g1^42*t^6.916 + g1^16*t^6.92 + (2*t^6.925)/g1^10 + 3*g1^20*t^7.15 + t^7.155/g1^6 + (2*t^7.159)/g1^32 + g1^50*t^7.376 + 3*g1^24*t^7.38 + t^7.385/g1^2 + (2*t^7.389)/g1^28 + g1^54*t^7.606 + 2*g1^28*t^7.611 + g1^2*t^7.615 + t^7.62/g1^24 + 2*g1^32*t^7.841 + 3*g1^6*t^7.845 + (2*t^7.85)/g1^20 + t^7.854/g1^46 + 2*g1^36*t^8.071 - g1^10*t^8.075 - t^8.08/g1^16 + g1^66*t^8.296 + 3*g1^40*t^8.301 + 2*g1^14*t^8.305 + (4*t^8.31)/g1^12 + t^8.314/g1^38 + (3*t^8.319)/g1^64 + g1^44*t^8.531 + 3*g1^18*t^8.535 - (2*t^8.54)/g1^8 + t^8.544/g1^34 + 3*g1^48*t^8.761 + (4*t^8.77)/g1^4 + (2*t^8.774)/g1^30 + (2*t^8.779)/g1^56 + 2*g1^52*t^8.991 + 3*g1^26*t^8.995 - t^4.385/(g1^2*y) - (g1^8*t^6.46)/y - t^6.465/(g1^18*y) + t^7.155/(g1^6*y) + (g1^2*t^7.615)/y + t^7.62/(g1^24*y) + (g1^32*t^7.841)/y + (g1^6*t^7.845)/y + (g1^10*t^8.075)/y + t^8.08/(g1^16*y) + (3*g1^14*t^8.305)/y + (2*t^8.31)/(g1^12*y) + t^8.54/(g1^8*y) - t^8.544/(g1^34*y) + (2*g1^22*t^8.765)/y + (3*t^8.77)/(g1^4*y) + t^8.774/(g1^30*y) + (g1^26*t^8.995)/y - (t^4.385*y)/g1^2 - g1^8*t^6.46*y - (t^6.465*y)/g1^18 + (t^7.155*y)/g1^6 + g1^2*t^7.615*y + (t^7.62*y)/g1^24 + g1^32*t^7.841*y + g1^6*t^7.845*y + g1^10*t^8.075*y + (t^8.08*y)/g1^16 + 3*g1^14*t^8.305*y + (2*t^8.31*y)/g1^12 + (t^8.54*y)/g1^8 - (t^8.544*y)/g1^34 + 2*g1^22*t^8.765*y + (3*t^8.77*y)/g1^4 + (t^8.774*y)/g1^30 + g1^26*t^8.995*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 |
|---|---|---|---|---|---|---|---|---|
| 3448 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.5916 | 0.7322 | 0.808 | [X:[1.5], M:[0.75, 1.125, 1.0, 1.25, 0.5, 0.8125], q:[0.4688, 0.7813], qb:[0.2813, 0.7188], phi:[0.4375]] | t^2.25 + t^2.438 + 2*t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^4.125 + t^4.313 + 2*t^4.5 + 2*t^4.875 + t^5.25 + 2*t^5.438 + 3*t^5.625 + t^5.813 + t^6. - t^4.313/y - t^4.313*y | detail | {a: 9693/16384, c: 11997/16384, X1: 3/2, M1: 3/4, M2: 9/8, M3: 1, M4: 5/4, M5: 1/2, M6: 13/16, q1: 15/32, q2: 25/32, qb1: 9/32, qb2: 23/32, phi1: 7/16} |
| 3449 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.6553 | 0.8089 | 0.8101 | [X:[1.3383], M:[0.8309, 1.0846, 1.0, 1.1691, 0.6617, 0.7114, 1.0349], q:[0.398, 0.7711], qb:[0.4329, 0.5671], phi:[0.4577]] | t^2.134 + t^2.493 + t^3. + t^3.105 + t^3.254 + t^3.507 + t^3.612 + t^3.761 + t^3.97 + t^4.015 + 2*t^4.268 + t^4.373 + t^4.627 + t^4.776 + t^4.985 + t^5.134 + t^5.239 + t^5.388 + t^5.642 + 2*t^5.746 - t^6. - t^4.373/y - t^4.373*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1875 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6608 | 0.8195 | 0.8064 | [M:[0.8455, 1.0772, 1.0, 1.1545, 0.6911], q:[0.3852, 0.7693], qb:[0.4604, 0.5396], phi:[0.4614]] | t^2.073 + t^2.537 + t^2.774 + t^3. + t^3.232 + t^3.463 + t^3.689 + t^3.695 + t^3.921 + 2*t^4.146 + t^4.158 + t^4.384 + t^4.61 + t^4.622 + t^4.848 + 2*t^5.073 + t^5.305 + t^5.311 + t^5.537 + t^5.549 + 2*t^5.768 + t^5.994 - t^6. - t^4.384/y - t^4.384*y | detail |