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
3505	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6327	0.8239	0.768	[M:[0.9706, 1.0881, 1.0294, 0.9119, 0.772, 0.8307, 0.9119], q:[0.7427, 0.2867], qb:[0.4266, 0.4853], phi:[0.5147]]	[M:[[4], [-12], [-4], [12], [-3], [-11], [12]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$	${}M_{5}q_{1}\tilde{q}_{2}$	-1	t^2.14 + 2*t^2.316 + t^2.492 + 2*t^2.736 + 2*t^3.088 + t^3.684 + t^3.86 + t^4.104 + 2*t^4.28 + 3*t^4.456 + 4*t^4.632 + 2*t^4.808 + 2*t^4.876 + t^4.984 + 4*t^5.052 + 4*t^5.228 + 3*t^5.404 + 3*t^5.471 + t^5.58 + 3*t^5.824 - t^6. + 3*t^6.176 + t^6.243 + t^6.352 + 4*t^6.42 + 4*t^6.596 + 5*t^6.772 + 2*t^6.839 + 6*t^6.948 + 3*t^7.016 + 3*t^7.124 + 6*t^7.192 + 2*t^7.301 + 7*t^7.368 + t^7.477 + 5*t^7.544 + 3*t^7.611 + 6*t^7.72 + 6*t^7.788 + t^7.896 + 4*t^7.964 + t^8.073 + 5*t^8.207 - t^8.316 + 2*t^8.383 + 7*t^8.56 + t^8.668 + t^8.845 + 5*t^8.912 + 2*t^8.979 - t^4.544/y - t^6.86/y - t^7.036/y - t^7.28/y + (3*t^7.456)/y + t^7.632/y + (3*t^7.808)/y + (2*t^7.876)/y + (5*t^8.052)/y + (5*t^8.228)/y + (4*t^8.404)/y + t^8.471/y + (2*t^8.58)/y + (5*t^8.824)/y - t^4.544*y - t^6.86*y - t^7.036*y - t^7.28*y + 3*t^7.456*y + t^7.632*y + 3*t^7.808*y + 2*t^7.876*y + 5*t^8.052*y + 5*t^8.228*y + 4*t^8.404*y + t^8.471*y + 2*t^8.58*y + 5*t^8.824*y	g1^5*t^2.14 + (2*t^2.316)/g1^3 + t^2.492/g1^11 + 2*g1^12*t^2.736 + (2*t^3.088)/g1^4 + g1^3*t^3.684 + t^3.86/g1^5 + g1^18*t^4.104 + 2*g1^10*t^4.28 + 3*g1^2*t^4.456 + (4*t^4.632)/g1^6 + (2*t^4.808)/g1^14 + 2*g1^17*t^4.876 + t^4.984/g1^22 + 4*g1^9*t^5.052 + 4*g1*t^5.228 + (3*t^5.404)/g1^7 + 3*g1^24*t^5.471 + t^5.58/g1^15 + 3*g1^8*t^5.824 - t^6. + (3*t^6.176)/g1^8 + g1^23*t^6.243 + t^6.352/g1^16 + 4*g1^15*t^6.42 + 4*g1^7*t^6.596 + (5*t^6.772)/g1 + 2*g1^30*t^6.839 + (6*t^6.948)/g1^9 + 3*g1^22*t^7.016 + (3*t^7.124)/g1^17 + 6*g1^14*t^7.192 + (2*t^7.301)/g1^25 + 7*g1^6*t^7.368 + t^7.477/g1^33 + (5*t^7.544)/g1^2 + 3*g1^29*t^7.611 + (6*t^7.72)/g1^10 + 6*g1^21*t^7.788 + t^7.896/g1^18 + 4*g1^13*t^7.964 + t^8.073/g1^26 + 5*g1^36*t^8.207 - t^8.316/g1^3 + 2*g1^28*t^8.383 + 7*g1^20*t^8.56 + t^8.668/g1^19 + t^8.845/g1^27 + 5*g1^4*t^8.912 + 2*g1^35*t^8.979 - t^4.544/(g1^2*y) - t^6.86/(g1^5*y) - t^7.036/(g1^13*y) - (g1^10*t^7.28)/y + (3*g1^2*t^7.456)/y + t^7.632/(g1^6*y) + (3*t^7.808)/(g1^14*y) + (2*g1^17*t^7.876)/y + (5*g1^9*t^8.052)/y + (5*g1*t^8.228)/y + (4*t^8.404)/(g1^7*y) + (g1^24*t^8.471)/y + (2*t^8.58)/(g1^15*y) + (5*g1^8*t^8.824)/y - (t^4.544*y)/g1^2 - (t^6.86*y)/g1^5 - (t^7.036*y)/g1^13 - g1^10*t^7.28*y + 3*g1^2*t^7.456*y + (t^7.632*y)/g1^6 + (3*t^7.808*y)/g1^14 + 2*g1^17*t^7.876*y + 5*g1^9*t^8.052*y + 5*g1*t^8.228*y + (4*t^8.404*y)/g1^7 + g1^24*t^8.471*y + (2*t^8.58*y)/g1^15 + 5*g1^8*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
5195	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6508	0.8561	0.7602	[M:[0.9724, 1.0827, 1.0276, 0.9173, 0.7707, 0.8258, 0.9173, 0.7707], q:[0.7431, 0.2845], qb:[0.4311, 0.4862], phi:[0.5138]]	t^2.147 + 3*t^2.312 + t^2.477 + 2*t^2.752 + 2*t^3.083 + t^3.853 + t^4.128 + 2*t^4.293 + 4*t^4.459 + 7*t^4.624 + 3*t^4.789 + 2*t^4.899 + t^4.955 + 6*t^5.064 + 4*t^5.229 + 5*t^5.395 + 3*t^5.504 + t^5.56 + 2*t^5.835 - 3*t^6. - t^4.541/y - t^4.541*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
2918	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6264	0.8129	0.7706	[M:[0.9842, 1.0474, 1.0158, 0.9526, 0.7618, 0.7934], q:[0.7461, 0.2697], qb:[0.4605, 0.4921], phi:[0.5079]]	t^2.191 + 2*t^2.286 + t^2.38 + t^2.858 + 2*t^3.047 + t^3.142 + t^3.714 + t^3.809 + t^4.287 + 2*t^4.382 + 3*t^4.476 + 4*t^4.571 + 2*t^4.666 + t^4.76 + t^5.049 + 2*t^5.143 + 3*t^5.238 + 4*t^5.333 + 3*t^5.428 + t^5.522 + t^5.716 + t^5.905 - t^4.524/y - t^4.524*y	detail