Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
4258	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$	0.6994	0.8869	0.7886	[X:[1.3584], M:[1.0193, 1.1695, 0.9807, 0.6416, 0.8305, 0.7554, 0.8305, 0.6781], q:[0.7736, 0.3959], qb:[0.5848, 0.4346], phi:[0.4528]]	[X:[[6]], M:[[-22], [14], [22], [-6], [-14], [-32], [-14], [56]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }X_{1}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.034 + t^2.266 + 2*t^2.491 + t^2.717 + t^2.942 + t^3.058 + t^3.625 + t^3.85 + t^4.068 + t^4.075 + 2*t^4.3 + t^4.416 + 2*t^4.526 + t^4.532 + t^4.751 + 2*t^4.758 + t^4.867 + t^4.976 + 4*t^4.983 + t^5.092 + 3*t^5.208 + t^5.324 + 2*t^5.433 + t^5.549 + 2*t^5.659 + t^5.775 + t^5.884 + t^5.891 - 2*t^6. + t^6.103 + t^6.109 + 3*t^6.116 - t^6.225 + 2*t^6.335 + 3*t^6.341 + 2*t^6.56 + 3*t^6.567 + 2*t^6.683 + t^6.785 + 3*t^6.792 + t^6.799 + t^6.901 + t^6.908 + t^7.01 + 4*t^7.017 + 2*t^7.024 + t^7.126 + t^7.133 + 3*t^7.242 + 4*t^7.249 + t^7.358 + 2*t^7.468 + 7*t^7.474 + t^7.584 + t^7.59 + 2*t^7.693 + 5*t^7.7 + t^7.816 + t^7.918 + 5*t^7.925 - 2*t^8.034 + 2*t^8.041 + t^8.137 + t^8.143 + 4*t^8.15 + t^8.157 - t^8.259 - 2*t^8.266 + 2*t^8.369 + 3*t^8.375 + 3*t^8.382 - 4*t^8.491 + 2*t^8.594 + 3*t^8.601 + 5*t^8.607 - 3*t^8.717 + t^8.819 + 3*t^8.826 + 6*t^8.833 + t^8.935 - 3*t^8.942 + 2*t^8.949 - t^4.358/y - t^6.393/y - t^6.625/y - t^6.85/y - t^7.075/y + t^7.3/y + (2*t^7.526)/y + t^7.642/y + t^7.751/y + (2*t^7.758)/y + t^7.867/y + t^7.976/y + (2*t^7.983)/y + (2*t^8.092)/y + (3*t^8.208)/y + (2*t^8.324)/y - t^8.427/y + (2*t^8.433)/y + (2*t^8.549)/y + t^8.659/y + t^8.775/y - t^4.358*y - t^6.393*y - t^6.625*y - t^6.85*y - t^7.075*y + t^7.3*y + 2*t^7.526*y + t^7.642*y + t^7.751*y + 2*t^7.758*y + t^7.867*y + t^7.976*y + 2*t^7.983*y + 2*t^8.092*y + 3*t^8.208*y + 2*t^8.324*y - t^8.427*y + 2*t^8.433*y + 2*t^8.549*y + t^8.659*y + t^8.775*y	g1^56*t^2.034 + t^2.266/g1^32 + (2*t^2.491)/g1^14 + g1^4*t^2.717 + g1^22*t^2.942 + t^3.058/g1^22 + t^3.625/g1^30 + t^3.85/g1^12 + g1^112*t^4.068 + g1^6*t^4.075 + 2*g1^24*t^4.3 + t^4.416/g1^20 + 2*g1^42*t^4.526 + t^4.532/g1^64 + g1^60*t^4.751 + (2*t^4.758)/g1^46 + g1^16*t^4.867 + g1^78*t^4.976 + (4*t^4.983)/g1^28 + g1^34*t^5.092 + (3*t^5.208)/g1^10 + t^5.324/g1^54 + 2*g1^8*t^5.433 + t^5.549/g1^36 + 2*g1^26*t^5.659 + t^5.775/g1^18 + g1^44*t^5.884 + t^5.891/g1^62 - 2*t^6. + g1^168*t^6.103 + g1^62*t^6.109 + (3*t^6.116)/g1^44 - g1^18*t^6.225 + 2*g1^80*t^6.335 + (3*t^6.341)/g1^26 + 2*g1^98*t^6.56 + (3*t^6.567)/g1^8 + (2*t^6.683)/g1^52 + g1^116*t^6.785 + 3*g1^10*t^6.792 + t^6.799/g1^96 + g1^72*t^6.901 + t^6.908/g1^34 + g1^134*t^7.01 + 4*g1^28*t^7.017 + (2*t^7.024)/g1^78 + g1^90*t^7.126 + t^7.133/g1^16 + 3*g1^46*t^7.242 + (4*t^7.249)/g1^60 + g1^2*t^7.358 + 2*g1^64*t^7.468 + (7*t^7.474)/g1^42 + g1^20*t^7.584 + t^7.59/g1^86 + 2*g1^82*t^7.693 + (5*t^7.7)/g1^24 + t^7.816/g1^68 + g1^100*t^7.918 + (5*t^7.925)/g1^6 - 2*g1^56*t^8.034 + (2*t^8.041)/g1^50 + g1^224*t^8.137 + g1^118*t^8.143 + 4*g1^12*t^8.15 + t^8.157/g1^94 - g1^74*t^8.259 - (2*t^8.266)/g1^32 + 2*g1^136*t^8.369 + 3*g1^30*t^8.375 + (3*t^8.382)/g1^76 - (4*t^8.491)/g1^14 + 2*g1^154*t^8.594 + 3*g1^48*t^8.601 + (5*t^8.607)/g1^58 - 3*g1^4*t^8.717 + g1^172*t^8.819 + 3*g1^66*t^8.826 + (6*t^8.833)/g1^40 + g1^128*t^8.935 - 3*g1^22*t^8.942 + (2*t^8.949)/g1^84 - (g1^2*t^4.358)/y - (g1^58*t^6.393)/y - t^6.625/(g1^30*y) - t^6.85/(g1^12*y) - (g1^6*t^7.075)/y + (g1^24*t^7.3)/y + (2*g1^42*t^7.526)/y + t^7.642/(g1^2*y) + (g1^60*t^7.751)/y + (2*t^7.758)/(g1^46*y) + (g1^16*t^7.867)/y + (g1^78*t^7.976)/y + (2*t^7.983)/(g1^28*y) + (2*g1^34*t^8.092)/y + (3*t^8.208)/(g1^10*y) + (2*t^8.324)/(g1^54*y) - (g1^114*t^8.427)/y + (2*g1^8*t^8.433)/y + (2*t^8.549)/(g1^36*y) + (g1^26*t^8.659)/y + t^8.775/(g1^18*y) - g1^2*t^4.358*y - g1^58*t^6.393*y - (t^6.625*y)/g1^30 - (t^6.85*y)/g1^12 - g1^6*t^7.075*y + g1^24*t^7.3*y + 2*g1^42*t^7.526*y + (t^7.642*y)/g1^2 + g1^60*t^7.751*y + (2*t^7.758*y)/g1^46 + g1^16*t^7.867*y + g1^78*t^7.976*y + (2*t^7.983*y)/g1^28 + 2*g1^34*t^8.092*y + (3*t^8.208*y)/g1^10 + (2*t^8.324*y)/g1^54 - g1^114*t^8.427*y + 2*g1^8*t^8.433*y + (2*t^8.549*y)/g1^36 + g1^26*t^8.659*y + (t^8.775*y)/g1^18

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
5739	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{6}X_{2}$	0.6151	0.7758	0.7929	[X:[1.3929, 1.4286], M:[0.8929, 1.25, 1.1071, 0.6071, 0.75, 0.5714, 0.75, 1.0], q:[0.7679, 0.4821], qb:[0.625, 0.2679], phi:[0.4643]]	2*t^2.25 + t^2.679 + t^2.786 + t^3. + t^3.107 + t^3.321 + t^3.643 + t^4.071 + t^4.179 + t^4.286 + 3*t^4.5 + t^4.714 + t^4.929 + 2*t^5.036 + t^5.143 + 2*t^5.25 + 2*t^5.357 + t^5.464 + 2*t^5.571 + t^5.679 + 2*t^5.786 + 2*t^5.893 - t^6. - t^4.393/y - t^4.393*y	detail	{a: 108027/175616, c: 136251/175616, X1: 39/28, X2: 10/7, M1: 25/28, M2: 5/4, M3: 31/28, M4: 17/28, M5: 3/4, M6: 4/7, M7: 3/4, M8: 1, q1: 43/56, q2: 27/56, qb1: 5/8, qb2: 15/56, phi1: 13/28}

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
2255	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$	0.6786	0.8465	0.8017	[X:[1.3592], M:[1.0164, 1.1714, 0.9836, 0.6408, 0.8286, 0.7511, 0.8286], q:[0.7735, 0.3979], qb:[0.5857, 0.4307], phi:[0.4531]]	t^2.253 + 2*t^2.486 + t^2.718 + t^2.951 + t^3.049 + t^3.612 + t^3.845 + t^3.943 + t^4.078 + t^4.31 + t^4.408 + t^4.507 + 2*t^4.739 + t^4.873 + 4*t^4.972 + 3*t^5.204 + t^5.302 + 2*t^5.437 + t^5.535 + t^5.669 + t^5.767 + t^5.866 - 2*t^6. - t^4.359/y - t^4.359*y	detail