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
189	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.5539	0.7073	0.7832	[M:[0.9813, 1.0187, 0.7198], q:[0.5959, 0.9694], qb:[0.4228, 0.2733], phi:[0.4346]]	[M:[[-1, 5], [1, -5], [-5, 1]], q:[[-2, -5], [3, 6]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.088 + t^2.159 + 2*t^2.608 + t^2.944 + t^3.056 + t^3.392 + t^3.728 + 2*t^4.177 + t^4.248 + t^4.319 + 3*t^4.696 + 2*t^4.767 + t^5.032 + t^5.103 + t^5.145 + 3*t^5.216 + t^5.481 + 2*t^5.552 + t^5.664 + t^5.817 + 2*t^5.888 - t^6. + t^6.112 + 2*t^6.265 + 3*t^6.336 + t^6.407 - t^6.448 + t^6.478 - t^6.519 + t^6.672 + 3*t^6.784 + 2*t^6.855 + 2*t^6.926 - t^6.968 + 2*t^7.12 + t^7.191 + t^7.233 + t^7.262 + 2*t^7.304 + 3*t^7.375 + t^7.456 + t^7.569 + t^7.64 + 2*t^7.711 + 3*t^7.823 + 2*t^7.905 + 2*t^7.976 + 2*t^8.047 - 3*t^8.088 - t^8.159 + t^8.201 + t^8.272 + 3*t^8.353 + 3*t^8.424 + 4*t^8.495 - 2*t^8.537 + t^8.566 - 5*t^8.608 + t^8.637 - t^8.679 + t^8.72 + t^8.76 + 2*t^8.831 + 3*t^8.873 - t^4.304/y - t^6.463/y - t^6.912/y + t^7.248/y + (3*t^7.696)/y + (2*t^7.767)/y + t^8.032/y + t^8.103/y + (2*t^8.145)/y + (2*t^8.216)/y + t^8.481/y + (3*t^8.552)/y - t^8.623/y + (2*t^8.664)/y + t^8.817/y + t^8.888/y - t^4.304*y - t^6.463*y - t^6.912*y + t^7.248*y + 3*t^7.696*y + 2*t^7.767*y + t^8.032*y + t^8.103*y + 2*t^8.145*y + 2*t^8.216*y + t^8.481*y + 3*t^8.552*y - t^8.623*y + 2*t^8.664*y + t^8.817*y + t^8.888*y	g1^3*g2^3*t^2.088 + (g2*t^2.159)/g1^5 + (2*t^2.608)/(g1^2*g2^2) + (g2^5*t^2.944)/g1 + (g1*t^3.056)/g2^5 + g1^2*g2^2*t^3.392 + g1^3*g2^9*t^3.728 + 2*g1^6*g2^6*t^4.177 + (g2^4*t^4.248)/g1^2 + (g2^2*t^4.319)/g1^10 + 3*g1*g2*t^4.696 + (2*t^4.767)/(g1^7*g2) + g1^2*g2^8*t^5.032 + (g2^6*t^5.103)/g1^6 + (g1^4*t^5.145)/g2^2 + (3*t^5.216)/(g1^4*g2^4) + g1^5*g2^5*t^5.481 + (2*g2^3*t^5.552)/g1^3 + t^5.664/(g1*g2^7) + g1^6*g2^12*t^5.817 + (2*g2^10*t^5.888)/g1^2 - t^6. + (g1^2*t^6.112)/g2^10 + 2*g1^9*g2^9*t^6.265 + 3*g1*g2^7*t^6.336 + (g2^5*t^6.407)/g1^7 - (g1^3*t^6.448)/g2^3 + (g2^3*t^6.478)/g1^15 - t^6.519/(g1^5*g2^5) + g1^2*g2^14*t^6.672 + 3*g1^4*g2^4*t^6.784 + (2*g2^2*t^6.855)/g1^4 + (2*t^6.926)/g1^12 - t^6.968/(g1^2*g2^8) + 2*g1^5*g2^11*t^7.12 + (g2^9*t^7.191)/g1^3 + g1^7*g2*t^7.233 + (g2^7*t^7.262)/g1^11 + (2*t^7.304)/(g1*g2) + (3*t^7.375)/(g1^9*g2^3) + g1^6*g2^18*t^7.456 + g1^8*g2^8*t^7.569 + g2^6*t^7.64 + (2*g2^4*t^7.711)/g1^8 + (3*t^7.823)/(g1^6*g2^6) + 2*g1^9*g2^15*t^7.905 + 2*g1*g2^13*t^7.976 + (2*g2^11*t^8.047)/g1^7 - 3*g1^3*g2^3*t^8.088 - (g2*t^8.159)/g1^5 + (g1^5*t^8.201)/g2^7 + t^8.272/(g1^3*g2^9) + 3*g1^12*g2^12*t^8.353 + 3*g1^4*g2^10*t^8.424 + (4*g2^8*t^8.495)/g1^4 - 2*g1^6*t^8.537 + (g2^6*t^8.566)/g1^12 - (5*t^8.608)/(g1^2*g2^2) + (g2^4*t^8.637)/g1^20 - t^8.679/(g1^10*g2^4) + t^8.72/g2^12 + g1^5*g2^17*t^8.76 + (2*g2^15*t^8.831)/g1^3 + 3*g1^7*g2^7*t^8.873 - t^4.304/(g1*g2*y) - t^6.463/(g1^6*y) - t^6.912/(g1^3*g2^3*y) + (g2^4*t^7.248)/(g1^2*y) + (3*g1*g2*t^7.696)/y + (2*t^7.767)/(g1^7*g2*y) + (g1^2*g2^8*t^8.032)/y + (g2^6*t^8.103)/(g1^6*y) + (2*g1^4*t^8.145)/(g2^2*y) + (2*t^8.216)/(g1^4*g2^4*y) + (g1^5*g2^5*t^8.481)/y + (3*g2^3*t^8.552)/(g1^3*y) - (g2*t^8.623)/(g1^11*y) + (2*t^8.664)/(g1*g2^7*y) + (g1^6*g2^12*t^8.817)/y + (g2^10*t^8.888)/(g1^2*y) - (t^4.304*y)/(g1*g2) - (t^6.463*y)/g1^6 - (t^6.912*y)/(g1^3*g2^3) + (g2^4*t^7.248*y)/g1^2 + 3*g1*g2*t^7.696*y + (2*t^7.767*y)/(g1^7*g2) + g1^2*g2^8*t^8.032*y + (g2^6*t^8.103*y)/g1^6 + (2*g1^4*t^8.145*y)/g2^2 + (2*t^8.216*y)/(g1^4*g2^4) + g1^5*g2^5*t^8.481*y + (3*g2^3*t^8.552*y)/g1^3 - (g2*t^8.623*y)/g1^11 + (2*t^8.664*y)/(g1*g2^7) + g1^6*g2^12*t^8.817*y + (g2^10*t^8.888*y)/g1^2

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
299	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$	0.5546	0.7066	0.7849	[M:[1.0328, 0.9672, 0.7599, 0.9672], q:[0.5631, 1.0051], qb:[0.4041, 0.3005], phi:[0.4318]]	t^2.114 + t^2.28 + 2*t^2.591 + 2*t^2.902 + t^3.409 + t^3.917 + 2*t^4.228 + t^4.394 + t^4.559 + 3*t^4.705 + 2*t^4.87 + 2*t^5.016 + 4*t^5.181 + 3*t^5.492 + t^5.523 + 3*t^5.803 - 2*t^6. - t^4.295/y - t^4.295*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
118	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$	0.5344	0.6715	0.7957	[M:[1.0, 1.0], q:[0.5973, 0.9638], qb:[0.4027, 0.2805], phi:[0.4389]]	t^2.05 + 2*t^2.634 + 2*t^3. + t^3.366 + 2*t^3.733 + 2*t^4.099 + 3*t^4.683 + 2*t^5.05 + 2*t^5.267 + t^5.416 + 2*t^5.634 + 2*t^5.783 + t^6. - t^4.317/y - t^4.317*y	detail