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 |
|---|---|---|---|---|---|---|---|---|---|
| 47097 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.7153 | 0.8822 | 0.8108 | [M:[0.9784, 0.822, 1.0216, 1.0593, 0.8597, 0.9407], q:[0.5297, 0.4919], qb:[0.6484, 0.4488], phi:[0.4703]] | [M:[[1, 1], [-6, 0], [-1, -1], [2, 0], [-3, 1], [-2, 0]], q:[[1, 0], [-2, -1]], qb:[[5, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -3 | t^2.466 + t^2.579 + 2*t^2.822 + t^2.935 + t^3.065 + t^3.291 + t^4.103 + t^4.233 + t^4.346 + t^4.362 + t^4.476 + t^4.589 + t^4.702 + t^4.832 + t^4.932 + t^4.945 + t^5.045 + t^5.158 + 2*t^5.288 + t^5.301 + 2*t^5.401 + t^5.514 + 3*t^5.644 + 2*t^5.757 + t^5.871 + t^5.887 - 3*t^6. + t^6.113 + t^6.227 - t^6.243 - t^6.356 - t^6.469 + t^6.569 + t^6.583 - t^6.599 + t^6.683 + t^6.699 + t^6.812 + t^6.828 + 3*t^6.925 + t^6.942 + t^7.039 + 3*t^7.055 + 4*t^7.168 + 2*t^7.184 + 3*t^7.298 + t^7.395 + t^7.398 + t^7.411 + t^7.427 + t^7.511 + 2*t^7.524 - t^7.54 + t^7.624 + t^7.638 + t^7.654 + t^7.738 + 2*t^7.754 + t^7.767 + 2*t^7.867 + 2*t^7.98 + t^7.994 - 2*t^8.01 + t^8.094 + 3*t^8.11 + t^8.123 + t^8.207 + 3*t^8.223 + t^8.236 + 2*t^8.336 - t^8.353 + 2*t^8.45 + t^8.466 - t^8.479 + t^8.592 + t^8.693 + t^8.709 + t^8.725 + 2*t^8.806 - 8*t^8.822 + t^8.838 - 2*t^8.935 - t^4.411/y - t^6.877/y - t^6.99/y - t^7.233/y + t^7.589/y + t^7.832/y + t^7.945/y + t^8.045/y + (2*t^8.288)/y + (3*t^8.401)/y + t^8.514/y + t^8.531/y + (2*t^8.644)/y + (3*t^8.757)/y + t^8.871/y + (2*t^8.887)/y - t^4.411*y - t^6.877*y - t^6.99*y - t^7.233*y + t^7.589*y + t^7.832*y + t^7.945*y + t^8.045*y + 2*t^8.288*y + 3*t^8.401*y + t^8.514*y + t^8.531*y + 2*t^8.644*y + 3*t^8.757*y + t^8.871*y + 2*t^8.887*y | t^2.466/g1^6 + (g2*t^2.579)/g1^3 + (2*t^2.822)/g1^2 + g1*g2*t^2.935 + t^3.065/(g1*g2) + g1^5*g2*t^3.291 + (g2^2*t^4.103)/g1 + t^4.233/g1^3 + g2*t^4.346 + t^4.362/(g1^5*g2^2) + t^4.476/(g1^2*g2) + g1*t^4.589 + g1^4*g2*t^4.702 + (g1^2*t^4.832)/g2 + t^4.932/g1^12 + g1^5*t^4.945 + (g2*t^5.045)/g1^9 + (g2^2*t^5.158)/g1^6 + (2*t^5.288)/g1^8 + g1^9*t^5.301 + (2*g2*t^5.401)/g1^5 + (g2^2*t^5.514)/g1^2 + (3*t^5.644)/g1^4 + (2*g2*t^5.757)/g1 + g1^2*g2^2*t^5.871 + t^5.887/(g1^3*g2) - 3*t^6. + g1^3*g2*t^6.113 + g1^6*g2^2*t^6.227 - (g1*t^6.243)/g2 - g1^4*t^6.356 - g1^7*g2*t^6.469 + (g2^2*t^6.569)/g1^7 + g1^10*g2^2*t^6.583 - (g1^5*t^6.599)/g2 + (g2^3*t^6.683)/g1^4 + t^6.699/g1^9 + (g2*t^6.812)/g1^6 + t^6.828/(g1^11*g2^2) + (3*g2^2*t^6.925)/g1^3 + t^6.942/(g1^8*g2) + g2^3*t^7.039 + (3*t^7.055)/g1^5 + (4*g2*t^7.168)/g1^2 + (2*t^7.184)/(g1^7*g2^2) + (3*t^7.298)/(g1^4*g2) + g1^4*g2^3*t^7.395 + t^7.398/g1^18 + t^7.411/g1 + t^7.427/(g1^6*g2^3) + (g2*t^7.511)/g1^15 + 2*g1^2*g2*t^7.524 - t^7.54/(g1^3*g2^2) + (g2^2*t^7.624)/g1^12 + g1^5*g2^2*t^7.638 + t^7.654/g2 + (g2^3*t^7.738)/g1^9 + (2*t^7.754)/g1^14 + g1^3*t^7.767 + (2*g2*t^7.867)/g1^11 + (2*g2^2*t^7.98)/g1^8 + g1^9*g2^2*t^7.994 - (2*g1^4*t^8.01)/g2 + (g2^3*t^8.094)/g1^5 + (3*t^8.11)/g1^10 + g1^7*t^8.123 + (g2^4*t^8.207)/g1^2 + (3*g2*t^8.223)/g1^7 + g1^10*g2*t^8.236 + (2*g2^2*t^8.336)/g1^4 - t^8.353/(g1^9*g2) + (2*g2^3*t^8.45)/g1 + t^8.466/g1^6 - g1^11*t^8.479 + g1^14*g2*t^8.592 + g2^2*t^8.693 + t^8.709/(g1^5*g2) + t^8.725/(g1^10*g2^4) + 2*g1^3*g2^3*t^8.806 - (8*t^8.822)/g1^2 + t^8.838/(g1^7*g2^3) - 2*g1*g2*t^8.935 - t^4.411/(g1*y) - t^6.877/(g1^7*y) - (g2*t^6.99)/(g1^4*y) - t^7.233/(g1^3*y) + (g1*t^7.589)/y + (g1^2*t^7.832)/(g2*y) + (g1^5*t^7.945)/y + (g2*t^8.045)/(g1^9*y) + (2*t^8.288)/(g1^8*y) + (3*g2*t^8.401)/(g1^5*y) + (g2^2*t^8.514)/(g1^2*y) + t^8.531/(g1^7*g2*y) + (2*t^8.644)/(g1^4*y) + (3*g2*t^8.757)/(g1*y) + (g1^2*g2^2*t^8.871)/y + (2*t^8.887)/(g1^3*g2*y) - (t^4.411*y)/g1 - (t^6.877*y)/g1^7 - (g2*t^6.99*y)/g1^4 - (t^7.233*y)/g1^3 + g1*t^7.589*y + (g1^2*t^7.832*y)/g2 + g1^5*t^7.945*y + (g2*t^8.045*y)/g1^9 + (2*t^8.288*y)/g1^8 + (3*g2*t^8.401*y)/g1^5 + (g2^2*t^8.514*y)/g1^2 + (t^8.531*y)/(g1^7*g2) + (2*t^8.644*y)/g1^4 + (3*g2*t^8.757*y)/g1 + g1^2*g2^2*t^8.871*y + (2*t^8.887*y)/(g1^3*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 51774 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}^{2}$ | 0.6977 | 0.8546 | 0.8164 | [M:[1.0436, 0.9346, 0.9564, 1.0218, 1.0, 0.9782], q:[0.5109, 0.4455], qb:[0.5545, 0.5327], phi:[0.4891]] | t^2.804 + t^2.869 + 2*t^2.935 + t^3. + t^3.131 + t^3.262 + t^4.14 + t^4.336 + t^4.402 + t^4.467 + t^4.533 + t^4.598 + 2*t^4.664 + t^4.729 + t^4.795 + t^5.607 + 2*t^5.738 + 2*t^5.804 + 3*t^5.869 + t^5.935 - 2*t^6. - t^4.467/y - t^4.467*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46681 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.9774, 0.8432, 1.0226, 1.0523, 0.8729], q:[0.5261, 0.4964], qb:[0.6307, 0.4513], phi:[0.4739]] | t^2.53 + t^2.619 + t^2.843 + t^2.932 + t^3.068 + t^3.157 + t^3.246 + t^4.129 + t^4.265 + t^4.354 + t^4.4 + t^4.489 + t^4.578 + t^4.668 + t^4.803 + t^4.892 + t^5.059 + t^5.148 + t^5.206 + t^5.237 + t^5.373 + t^5.462 + t^5.551 + 2*t^5.686 + 2*t^5.776 + t^5.865 - 2*t^6. - t^4.422/y - t^4.422*y | detail |