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
3563	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$	0.6466	0.8103	0.7979	[X:[1.4713], M:[0.7816, 0.9655, 1.2184, 0.5287, 0.7816, 0.6897, 1.1264], q:[0.4368, 0.7816], qb:[0.3448, 0.6897], phi:[0.4368]]	[X:[[7]], M:[[1], [-9], [-1], [-7], [1], [6], [4]], q:[[-2], [1]], qb:[[3], [6]], phi:[[-2]]]	1	{a: 75/116, c: 47/58, X1: 128/87, M1: 68/87, M2: 28/29, M3: 106/87, M4: 46/87, M5: 68/87, M6: 20/29, M7: 98/87, q1: 38/87, q2: 68/87, qb1: 10/29, qb2: 20/29, phi1: 38/87}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$	${}M_{5}\phi_{1}q_{1}\tilde{q}_{1}$	-2	t^2.069 + 2*t^2.345 + t^2.897 + 4*t^3.379 + t^3.655 + t^4.138 + 4*t^4.414 + 4*t^4.69 + t^5.241 + 5*t^5.448 + 8*t^5.724 + t^5.793 - 2*t^6. + t^6.207 + 4*t^6.483 + 14*t^6.759 + 3*t^7.034 - 4*t^7.31 + 5*t^7.517 + t^7.586 + 15*t^7.793 + t^7.862 + 8*t^8.069 + t^8.138 + t^8.276 - 11*t^8.345 + 4*t^8.552 - 3*t^8.621 + t^8.69 + 18*t^8.828 - 2*t^8.897 - t^4.31/y - t^6.379/y - t^6.655/y - t^7.207/y + (3*t^7.414)/y + t^7.69/y + (2*t^7.966)/y + (3*t^8.241)/y + (3*t^8.448)/y + (8*t^8.724)/y - t^4.31*y - t^6.379*y - t^6.655*y - t^7.207*y + 3*t^7.414*y + t^7.69*y + 2*t^7.966*y + 3*t^8.241*y + 3*t^8.448*y + 8*t^8.724*y	g1^6*t^2.069 + 2*g1*t^2.345 + t^2.897/g1^9 + 4*g1^4*t^3.379 + t^3.655/g1 + g1^12*t^4.138 + 4*g1^7*t^4.414 + 4*g1^2*t^4.69 + t^5.241/g1^8 + 5*g1^10*t^5.448 + 8*g1^5*t^5.724 + t^5.793/g1^18 - 2*t^6. + g1^18*t^6.207 + 4*g1^13*t^6.483 + 14*g1^8*t^6.759 + 3*g1^3*t^7.034 - (4*t^7.31)/g1^2 + 5*g1^16*t^7.517 + t^7.586/g1^7 + 15*g1^11*t^7.793 + t^7.862/g1^12 + 8*g1^6*t^8.069 + t^8.138/g1^17 + g1^24*t^8.276 - 11*g1*t^8.345 + 4*g1^19*t^8.552 - (3*t^8.621)/g1^4 + t^8.69/g1^27 + 18*g1^14*t^8.828 - (2*t^8.897)/g1^9 - t^4.31/(g1^2*y) - (g1^4*t^6.379)/y - t^6.655/(g1*y) - t^7.207/(g1^11*y) + (3*g1^7*t^7.414)/y + (g1^2*t^7.69)/y + (2*t^7.966)/(g1^3*y) + (3*t^8.241)/(g1^8*y) + (3*g1^10*t^8.448)/y + (8*g1^5*t^8.724)/y - (t^4.31*y)/g1^2 - g1^4*t^6.379*y - (t^6.655*y)/g1 - (t^7.207*y)/g1^11 + 3*g1^7*t^7.414*y + g1^2*t^7.69*y + (2*t^7.966*y)/g1^3 + (3*t^8.241*y)/g1^8 + 3*g1^10*t^8.448*y + 8*g1^5*t^8.724*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
5236	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$	0.6641	0.842	0.7887	[X:[1.4675], M:[0.7811, 0.9704, 1.2189, 0.5325, 0.7811, 0.6864, 1.1243, 0.7811], q:[0.4379, 0.7811], qb:[0.3432, 0.6864], phi:[0.4379]]	t^2.059 + 3*t^2.343 + t^2.911 + 4*t^3.373 + t^4.118 + 5*t^4.402 + 7*t^4.686 + 2*t^5.254 + 5*t^5.432 + 11*t^5.716 + t^5.823 - 4*t^6. - t^4.314/y - t^4.314*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
2966	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.6583	0.8285	0.7947	[X:[1.4934], M:[0.7848, 0.937, 1.2152, 0.5066, 0.7848, 0.7086], q:[0.4305, 0.7848], qb:[0.3543, 0.7086], phi:[0.4305]]	t^2.126 + 2*t^2.354 + t^2.583 + t^2.811 + 3*t^3.417 + t^3.646 + t^4.252 + 4*t^4.48 + 5*t^4.709 + 2*t^4.937 + 2*t^5.165 + t^5.394 + 4*t^5.543 + t^5.622 + 6*t^5.772 + t^6. - t^4.291/y - t^4.291*y	detail