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 |
|---|---|---|---|---|---|---|---|---|---|
| 132 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6721 | 0.8254 | 0.8143 | [M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | [M:[[12, 12], [-4, -4]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -4 | t^2.145 + t^2.715 + 2*t^2.891 + t^3.285 + 2*t^3.679 + 3*t^4.072 + 2*t^4.249 + t^4.29 + t^4.425 + t^4.86 + 2*t^5.036 + 2*t^5.43 + 2*t^5.606 + 3*t^5.783 - 4*t^6. + 3*t^6.217 + 2*t^6.394 + t^6.435 + 4*t^6.57 + 2*t^6.787 + 6*t^6.964 + t^7.005 + 4*t^7.14 + 2*t^7.316 - t^7.357 - 2*t^7.534 + 2*t^7.575 + 6*t^7.751 + 3*t^7.928 + 2*t^8.145 + 4*t^8.321 + 3*t^8.362 + 5*t^8.498 + t^8.58 + 6*t^8.674 - 4*t^8.715 + t^8.85 - 10*t^8.891 + 3*t^8.932 - t^4.357/y - t^6.502/y + t^7.86/y + (2*t^8.036)/y + t^8.213/y + t^8.43/y + (2*t^8.606)/y - t^8.647/y + t^8.783/y + (2*t^8.824)/y - t^4.357*y - t^6.502*y + t^7.86*y + 2*t^8.036*y + t^8.213*y + t^8.43*y + 2*t^8.606*y - t^8.647*y + t^8.783*y + 2*t^8.824*y | g1^12*g2^12*t^2.145 + g1^4*g2^4*t^2.715 + t^2.891/(g1^7*g2^11) + t^2.891/(g1^11*g2^7) + t^3.285/(g1^4*g2^4) + (g1^3*t^3.679)/g2 + (g2^3*t^3.679)/g1 + g1^10*g2^2*t^4.072 + g1^6*g2^6*t^4.072 + g1^2*g2^10*t^4.072 + t^4.249/(g1^5*g2^9) + t^4.249/(g1^9*g2^5) + g1^24*g2^24*t^4.29 + t^4.425/(g1^20*g2^20) + g1^16*g2^16*t^4.86 + g1^5*g2*t^5.036 + g1*g2^5*t^5.036 + 2*g1^8*g2^8*t^5.43 + t^5.606/(g1^3*g2^7) + t^5.606/(g1^7*g2^3) + t^5.783/(g1^14*g2^22) + t^5.783/(g1^18*g2^18) + t^5.783/(g1^22*g2^14) - 2*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + g1^22*g2^14*t^6.217 + g1^18*g2^18*t^6.217 + g1^14*g2^22*t^6.217 + g1^7*g2^3*t^6.394 + g1^3*g2^7*t^6.394 + g1^36*g2^36*t^6.435 + t^6.57/(g1^4*g2^12) + (2*t^6.57)/(g1^8*g2^8) + t^6.57/(g1^12*g2^4) + g1^14*g2^6*t^6.787 + g1^6*g2^14*t^6.787 + (g1^3*t^6.964)/g2^9 + (2*t^6.964)/(g1*g2^5) + (2*t^6.964)/(g1^5*g2) + (g2^3*t^6.964)/g1^9 + g1^28*g2^28*t^7.005 + t^7.14/(g1^12*g2^20) + (2*t^7.14)/(g1^16*g2^16) + t^7.14/(g1^20*g2^12) + t^7.316/(g1^27*g2^31) + t^7.316/(g1^31*g2^27) - g1^2*g2^2*t^7.357 - t^7.534/(g1^9*g2^13) - t^7.534/(g1^13*g2^9) + 2*g1^20*g2^20*t^7.575 + g1^13*g2*t^7.751 + 2*g1^9*g2^5*t^7.751 + 2*g1^5*g2^9*t^7.751 + g1*g2^13*t^7.751 + t^7.928/(g1^2*g2^10) + t^7.928/(g1^6*g2^6) + t^7.928/(g1^10*g2^2) + g1^20*g2^4*t^8.145 + g1^4*g2^20*t^8.145 + (g1^5*t^8.321)/g2^7 + (g1*t^8.321)/g2^3 + (g2*t^8.321)/g1^3 + (g2^5*t^8.321)/g1^7 + g1^34*g2^26*t^8.362 + g1^30*g2^30*t^8.362 + g1^26*g2^34*t^8.362 + (2*t^8.498)/(g1^10*g2^18) + t^8.498/(g1^14*g2^14) + (2*t^8.498)/(g1^18*g2^10) + g1^48*g2^48*t^8.58 + t^8.674/(g1^21*g2^33) + (2*t^8.674)/(g1^25*g2^29) + (2*t^8.674)/(g1^29*g2^25) + t^8.674/(g1^33*g2^21) - g1^8*t^8.715 - 2*g1^4*g2^4*t^8.715 - g2^8*t^8.715 + t^8.85/(g1^40*g2^40) - t^8.891/(g1^3*g2^15) - (4*t^8.891)/(g1^7*g2^11) - (4*t^8.891)/(g1^11*g2^7) - t^8.891/(g1^15*g2^3) + g1^26*g2^18*t^8.932 + g1^22*g2^22*t^8.932 + g1^18*g2^26*t^8.932 - (g1^2*g2^2*t^4.357)/y - (g1^14*g2^14*t^6.502)/y + (g1^16*g2^16*t^7.86)/y + (g1^5*g2*t^8.036)/y + (g1*g2^5*t^8.036)/y + t^8.213/(g1^10*g2^10*y) + (g1^8*g2^8*t^8.43)/y + t^8.606/(g1^3*g2^7*y) + t^8.606/(g1^7*g2^3*y) - (g1^26*g2^26*t^8.647)/y + t^8.783/(g1^18*g2^18*y) + (g1^15*g2^11*t^8.824)/y + (g1^11*g2^15*t^8.824)/y - g1^2*g2^2*t^4.357*y - g1^14*g2^14*t^6.502*y + g1^16*g2^16*t^7.86*y + g1^5*g2*t^8.036*y + g1*g2^5*t^8.036*y + (t^8.213*y)/(g1^10*g2^10) + g1^8*g2^8*t^8.43*y + (t^8.606*y)/(g1^3*g2^7) + (t^8.606*y)/(g1^7*g2^3) - g1^26*g2^26*t^8.647*y + (t^8.783*y)/(g1^18*g2^18) + g1^15*g2^11*t^8.824*y + g1^11*g2^15*t^8.824*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 |
|---|---|---|---|---|---|---|---|---|
| 221 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.681 | 0.8403 | 0.8104 | [M:[0.701, 1.0997, 0.9003], q:[0.7749, 0.5241], qb:[0.4502, 0.4502], phi:[0.4502]] | t^2.103 + 2*t^2.701 + 2*t^2.923 + 2*t^3.675 + 3*t^4.051 + t^4.206 + 2*t^4.273 + t^4.495 + 2*t^4.804 + 2*t^5.026 + 3*t^5.402 + 4*t^5.624 + 3*t^5.846 - 5*t^6. - t^4.35/y - t^4.35*y | detail | |
| 224 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6636 | 0.8114 | 0.8179 | [M:[0.7292, 1.0903, 1.0903], q:[0.7726, 0.4983], qb:[0.4549, 0.4549], phi:[0.4549]] | t^2.188 + 2*t^2.859 + 2*t^3.271 + 2*t^3.682 + 3*t^4.094 + 2*t^4.224 + t^4.354 + t^4.375 + 2*t^5.047 + 2*t^5.458 + 3*t^5.719 - 5*t^6. - t^4.365/y - t^4.365*y | detail | |
| 219 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6711 | 0.825 | 0.8135 | [M:[0.6804, 1.1065, 0.9852], q:[0.7766, 0.543], qb:[0.4718, 0.4217], phi:[0.4467]] | t^2.041 + t^2.68 + t^2.894 + t^2.956 + t^3.32 + t^3.595 + t^3.745 + t^3.87 + t^4.021 + t^4.082 + t^4.171 + t^4.234 + t^4.384 + t^4.598 + t^4.722 + t^4.935 + t^4.997 + 2*t^5.361 + t^5.574 + t^5.636 + t^5.788 + 2*t^5.911 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 222 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6489 | 0.7809 | 0.831 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | t^2.667 + 2*t^3. + t^3.333 + 2*t^3.667 + 4*t^4. + 2*t^4.333 + t^4.667 + t^5.333 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 841/1296, c: 253/324, X1: 4/3, M1: 2/3, M2: 10/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
| 220 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.6709 | 0.8239 | 0.8143 | [M:[0.6905, 1.1032], q:[0.7758, 0.5338], qb:[0.4662, 0.4306], phi:[0.4484]] | t^2.071 + t^2.69 + t^2.893 + t^3. + t^3.31 + t^3.619 + t^3.726 + t^3.929 + t^4.036 + 2*t^4.143 + t^4.238 + t^4.345 + t^4.548 + t^4.762 + t^4.964 + t^5.071 + 2*t^5.381 + t^5.583 + t^5.69 + t^5.786 - t^4.345/y - t^4.345*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 |
|---|---|---|---|---|---|---|---|---|---|
| 81 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7025 | 0.8516 | 0.8249 | [M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]] | t^2.025 + t^2.315 + t^2.605 + 2*t^3.251 + t^4.051 + 2*t^4.119 + t^4.264 + t^4.34 + 2*t^4.409 + 3*t^4.553 + 2*t^4.63 + t^4.92 + t^5.209 + 2*t^5.276 + 2*t^5.566 - 5*t^6. - t^4.157/y - t^4.157*y | detail |