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 |
|---|---|---|---|---|---|---|---|---|---|
| 57037 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.7006 | 0.8964 | 0.7816 | [M:[1.0565, 0.7176, 0.8306, 1.1694, 0.8306, 0.6777, 0.9435], q:[0.5183, 0.4253], qb:[0.7641, 0.4053], phi:[0.4718]] | [M:[[4], [-20], [-12], [12], [-12], [48], [-4]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.033 + t^2.153 + 2*t^2.492 + t^2.771 + 2*t^2.831 + t^3.568 + t^3.847 + t^3.907 + t^4.066 + 2*t^4.186 + t^4.246 + t^4.306 + 3*t^4.525 + 2*t^4.645 + t^4.804 + 2*t^4.864 + t^4.924 + 5*t^4.983 + 2*t^5.262 + 4*t^5.322 + t^5.541 + 3*t^5.601 + 2*t^5.661 + t^5.88 - 2*t^6. + 2*t^6.06 + t^6.099 + 2*t^6.219 + 2*t^6.339 + 4*t^6.399 + t^6.459 + 3*t^6.558 + t^6.618 + 6*t^6.678 + 2*t^6.738 + 2*t^6.797 + t^6.837 + 2*t^6.897 + 2*t^6.957 + 7*t^7.017 + 4*t^7.136 + 3*t^7.296 + 4*t^7.355 - t^7.415 + 7*t^7.475 + t^7.574 + 3*t^7.634 + t^7.694 + 4*t^7.754 + 8*t^7.814 + t^7.913 + 5*t^8.093 + t^8.132 + t^8.153 + 2*t^8.252 + t^8.312 + 5*t^8.372 + 3*t^8.432 - 3*t^8.492 + 3*t^8.552 + 3*t^8.591 + t^8.611 + t^8.651 + 6*t^8.711 - 3*t^8.771 - 2*t^8.831 + t^8.87 + 6*t^8.89 + 2*t^8.93 + 2*t^8.95 + 2*t^8.99 - t^4.415/y - t^6.448/y - t^6.568/y - t^6.907/y + t^7.186/y - t^7.246/y + (2*t^7.525)/y + t^7.585/y + (2*t^7.645)/y + t^7.804/y + (2*t^7.864)/y + (2*t^7.924)/y + (3*t^7.983)/y + (3*t^8.262)/y + (4*t^8.322)/y + t^8.382/y - t^8.481/y + (2*t^8.601)/y + t^8.661/y + t^8.88/y - t^4.415*y - t^6.448*y - t^6.568*y - t^6.907*y + t^7.186*y - t^7.246*y + 2*t^7.525*y + t^7.585*y + 2*t^7.645*y + t^7.804*y + 2*t^7.864*y + 2*t^7.924*y + 3*t^7.983*y + 3*t^8.262*y + 4*t^8.322*y + t^8.382*y - t^8.481*y + 2*t^8.601*y + t^8.661*y + t^8.88*y | g1^48*t^2.033 + t^2.153/g1^20 + (2*t^2.492)/g1^12 + g1^30*t^2.771 + (2*t^2.831)/g1^4 + t^3.568/g1^22 + g1^20*t^3.847 + t^3.907/g1^14 + g1^96*t^4.066 + 2*g1^28*t^4.186 + t^4.246/g1^6 + t^4.306/g1^40 + 3*g1^36*t^4.525 + (2*t^4.645)/g1^32 + g1^78*t^4.804 + 2*g1^44*t^4.864 + g1^10*t^4.924 + (5*t^4.983)/g1^24 + 2*g1^18*t^5.262 + (4*t^5.322)/g1^16 + g1^60*t^5.541 + 3*g1^26*t^5.601 + (2*t^5.661)/g1^8 + g1^68*t^5.88 - 2*t^6. + (2*t^6.06)/g1^34 + g1^144*t^6.099 + 2*g1^76*t^6.219 + 2*g1^8*t^6.339 + (4*t^6.399)/g1^26 + t^6.459/g1^60 + 3*g1^84*t^6.558 + g1^50*t^6.618 + 6*g1^16*t^6.678 + (2*t^6.738)/g1^18 + (2*t^6.797)/g1^52 + g1^126*t^6.837 + 2*g1^92*t^6.897 + 2*g1^58*t^6.957 + 7*g1^24*t^7.017 + (4*t^7.136)/g1^44 + 3*g1^66*t^7.296 + 4*g1^32*t^7.355 - t^7.415/g1^2 + (7*t^7.475)/g1^36 + g1^108*t^7.574 + 3*g1^74*t^7.634 + g1^40*t^7.694 + 4*g1^6*t^7.754 + (8*t^7.814)/g1^28 + g1^116*t^7.913 + 5*g1^14*t^8.093 + g1^192*t^8.132 + t^8.153/g1^20 + 2*g1^124*t^8.252 + g1^90*t^8.312 + 5*g1^56*t^8.372 + 3*g1^22*t^8.432 - (3*t^8.492)/g1^12 + (3*t^8.552)/g1^46 + 3*g1^132*t^8.591 + t^8.611/g1^80 + g1^98*t^8.651 + 6*g1^64*t^8.711 - 3*g1^30*t^8.771 - (2*t^8.831)/g1^4 + g1^174*t^8.87 + (6*t^8.89)/g1^38 + 2*g1^140*t^8.93 + (2*t^8.95)/g1^72 + 2*g1^106*t^8.99 - t^4.415/(g1^2*y) - (g1^46*t^6.448)/y - t^6.568/(g1^22*y) - t^6.907/(g1^14*y) + (g1^28*t^7.186)/y - t^7.246/(g1^6*y) + (2*g1^36*t^7.525)/y + (g1^2*t^7.585)/y + (2*t^7.645)/(g1^32*y) + (g1^78*t^7.804)/y + (2*g1^44*t^7.864)/y + (2*g1^10*t^7.924)/y + (3*t^7.983)/(g1^24*y) + (3*g1^18*t^8.262)/y + (4*t^8.322)/(g1^16*y) + t^8.382/(g1^50*y) - (g1^94*t^8.481)/y + (2*g1^26*t^8.601)/y + t^8.661/(g1^8*y) + (g1^68*t^8.88)/y - (t^4.415*y)/g1^2 - g1^46*t^6.448*y - (t^6.568*y)/g1^22 - (t^6.907*y)/g1^14 + g1^28*t^7.186*y - (t^7.246*y)/g1^6 + 2*g1^36*t^7.525*y + g1^2*t^7.585*y + (2*t^7.645*y)/g1^32 + g1^78*t^7.804*y + 2*g1^44*t^7.864*y + 2*g1^10*t^7.924*y + (3*t^7.983*y)/g1^24 + 3*g1^18*t^8.262*y + (4*t^8.322*y)/g1^16 + (t^8.382*y)/g1^50 - g1^94*t^8.481*y + 2*g1^26*t^8.601*y + (t^8.661*y)/g1^8 + g1^68*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 58742 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7208 | 0.9342 | 0.7716 | [M:[1.0571, 0.7146, 0.8288, 1.1712, 0.8288, 0.6849, 0.9429, 0.7146], q:[0.5211, 0.4218], qb:[0.7643, 0.407], phi:[0.4715]] | t^2.055 + 2*t^2.144 + 2*t^2.486 + t^2.784 + 2*t^2.829 + t^3.558 + t^3.901 + t^4.109 + 3*t^4.199 + t^4.243 + 3*t^4.288 + 3*t^4.541 + 4*t^4.63 + t^4.839 + 2*t^4.883 + 2*t^4.928 + 7*t^4.973 + 2*t^5.271 + 4*t^5.315 + t^5.568 + 3*t^5.613 + 2*t^5.658 + t^5.702 - 3*t^6. - t^4.414/y - t^4.414*y | detail | |
| 58650 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}X_{1}$ | 0.6693 | 0.8402 | 0.7967 | [X:[1.3333], M:[1.0667, 0.6667, 0.8, 1.2, 0.8, 0.8, 0.9333], q:[0.5667, 0.3667], qb:[0.7667, 0.4333], phi:[0.4667]] | 3*t^2.4 + 2*t^2.8 + t^3. + t^3.4 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 7*t^4.8 + 6*t^5.2 + 2*t^5.4 + 2*t^5.6 + 4*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 251/375, c: 5041/6000, X1: 4/3, M1: 16/15, M2: 2/3, M3: 4/5, M4: 6/5, M5: 4/5, M6: 4/5, M7: 14/15, q1: 17/30, q2: 11/30, qb1: 23/30, qb2: 13/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55485 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6954 | 0.8879 | 0.7832 | [M:[1.056, 0.7198, 0.8319, 1.1681, 0.8319, 0.6725], q:[0.5162, 0.4278], qb:[0.764, 0.4041], phi:[0.472]] | t^2.017 + t^2.159 + 2*t^2.496 + t^2.761 + t^2.832 + t^3.168 + t^3.575 + t^3.841 + t^3.912 + t^4.035 + 2*t^4.177 + t^4.248 + t^4.319 + 3*t^4.513 + 2*t^4.655 + t^4.778 + t^4.849 + t^4.92 + 4*t^4.991 + t^5.186 + 2*t^5.257 + 3*t^5.328 + t^5.522 + 2*t^5.593 + 2*t^5.664 + t^5.858 + t^5.929 - t^6. - t^4.416/y - t^4.416*y | detail |