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
1838	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$	0.6925	0.9093	0.7615	[M:[1.1463, 0.7074, 0.6769, 0.6769, 0.8231], q:[0.75, 0.4269], qb:[0.4269, 0.3963], phi:[0.5]]	[M:[[2], [-4], [-1], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	-2	2*t^2.031 + t^2.122 + 3*t^2.469 + t^3. + 2*t^3.439 + t^3.531 + 6*t^4.061 + 2*t^4.153 + t^4.244 + 6*t^4.5 + 3*t^4.592 + 6*t^4.939 + 2*t^5.031 + t^5.122 + 7*t^5.469 + 4*t^5.561 + t^5.653 + 4*t^5.908 - 2*t^6. + 8*t^6.092 + 6*t^6.183 + 2*t^6.275 + t^6.367 + 15*t^6.531 + 6*t^6.622 + 3*t^6.714 + 2*t^6.878 + 10*t^6.969 + 9*t^7.061 + 2*t^7.153 + t^7.244 + 6*t^7.408 + 10*t^7.5 + 9*t^7.592 + 4*t^7.683 + t^7.775 + 10*t^7.939 - 4*t^8.031 + 13*t^8.122 + 8*t^8.214 + 6*t^8.306 + 6*t^8.378 + 2*t^8.397 - 9*t^8.469 + t^8.489 + 18*t^8.561 + 15*t^8.653 + 6*t^8.744 + 3*t^8.836 + 2*t^8.908 - t^4.5/y - (2*t^6.531)/y - t^6.622/y - t^6.969/y + (2*t^7.061)/y + (2*t^7.153)/y + (6*t^7.5)/y + (3*t^7.592)/y + (2*t^7.939)/y + (3*t^8.031)/y + t^8.122/y + t^8.378/y + (9*t^8.469)/y + t^8.561/y - t^8.653/y - t^8.744/y + (6*t^8.908)/y - t^4.5*y - 2*t^6.531*y - t^6.622*y - t^6.969*y + 2*t^7.061*y + 2*t^7.153*y + 6*t^7.5*y + 3*t^7.592*y + 2*t^7.939*y + 3*t^8.031*y + t^8.122*y + t^8.378*y + 9*t^8.469*y + t^8.561*y - t^8.653*y - t^8.744*y + 6*t^8.908*y	(2*t^2.031)/g1 + t^2.122/g1^4 + 3*g1*t^2.469 + t^3. + 2*g1^2*t^3.439 + t^3.531/g1 + (6*t^4.061)/g1^2 + (2*t^4.153)/g1^5 + t^4.244/g1^8 + 6*t^4.5 + (3*t^4.592)/g1^3 + 6*g1^2*t^4.939 + (2*t^5.031)/g1 + t^5.122/g1^4 + 7*g1*t^5.469 + (4*t^5.561)/g1^2 + t^5.653/g1^5 + 4*g1^3*t^5.908 - 2*t^6. + (8*t^6.092)/g1^3 + (6*t^6.183)/g1^6 + (2*t^6.275)/g1^9 + t^6.367/g1^12 + (15*t^6.531)/g1 + (6*t^6.622)/g1^4 + (3*t^6.714)/g1^7 + 2*g1^4*t^6.878 + 10*g1*t^6.969 + (9*t^7.061)/g1^2 + (2*t^7.153)/g1^5 + t^7.244/g1^8 + 6*g1^3*t^7.408 + 10*t^7.5 + (9*t^7.592)/g1^3 + (4*t^7.683)/g1^6 + t^7.775/g1^9 + 10*g1^2*t^7.939 - (4*t^8.031)/g1 + (13*t^8.122)/g1^4 + (8*t^8.214)/g1^7 + (6*t^8.306)/g1^10 + 6*g1^4*t^8.378 + (2*t^8.397)/g1^13 - 9*g1*t^8.469 + t^8.489/g1^16 + (18*t^8.561)/g1^2 + (15*t^8.653)/g1^5 + (6*t^8.744)/g1^8 + (3*t^8.836)/g1^11 + 2*g1^3*t^8.908 - t^4.5/y - (2*t^6.531)/(g1*y) - t^6.622/(g1^4*y) - (g1*t^6.969)/y + (2*t^7.061)/(g1^2*y) + (2*t^7.153)/(g1^5*y) + (6*t^7.5)/y + (3*t^7.592)/(g1^3*y) + (2*g1^2*t^7.939)/y + (3*t^8.031)/(g1*y) + t^8.122/(g1^4*y) + (g1^4*t^8.378)/y + (9*g1*t^8.469)/y + t^8.561/(g1^2*y) - t^8.653/(g1^5*y) - t^8.744/(g1^8*y) + (6*g1^3*t^8.908)/y - t^4.5*y - (2*t^6.531*y)/g1 - (t^6.622*y)/g1^4 - g1*t^6.969*y + (2*t^7.061*y)/g1^2 + (2*t^7.153*y)/g1^5 + 6*t^7.5*y + (3*t^7.592*y)/g1^3 + 2*g1^2*t^7.939*y + (3*t^8.031*y)/g1 + (t^8.122*y)/g1^4 + g1^4*t^8.378*y + 9*g1*t^8.469*y + (t^8.561*y)/g1^2 - (t^8.653*y)/g1^5 - (t^8.744*y)/g1^8 + 6*g1^3*t^8.908*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
2863	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{6}$	0.7058	0.934	0.7557	[M:[1.1603, 0.6794, 0.6699, 0.6699, 0.8301, 0.8397], q:[0.75, 0.4199], qb:[0.4199, 0.4103], phi:[0.5]]	2*t^2.01 + t^2.038 + 3*t^2.49 + t^2.519 + t^3. + t^3.481 + t^3.51 + 6*t^4.019 + 2*t^4.048 + t^4.076 + 6*t^4.5 + 5*t^4.529 + t^4.557 + 6*t^4.981 + 5*t^5.01 + 2*t^5.038 + 5*t^5.49 + 4*t^5.519 + t^5.548 + t^5.971 - t^6. - t^4.5/y - t^4.5*y	detail
2861	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	0.6872	0.8997	0.7638	[M:[1.1, 0.8, 0.7, 0.7, 0.8], q:[0.75, 0.45], qb:[0.45, 0.35], phi:[0.5]]	2*t^2.1 + 4*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 6*t^4.2 + 8*t^4.5 + 10*t^4.8 + 2*t^5.1 + 8*t^5.4 + 8*t^5.7 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 2199/3200, c: 2879/3200, M1: 11/10, M2: 4/5, M3: 7/10, M4: 7/10, M5: 4/5, q1: 3/4, q2: 9/20, qb1: 9/20, qb2: 7/20, phi1: 1/2}
2858	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.7076	0.9351	0.7567	[M:[1.1397, 0.7206, 0.6801, 0.6801, 0.8199, 0.8199], q:[0.75, 0.4301], qb:[0.4301, 0.3897], phi:[0.5]]	2*t^2.04 + t^2.162 + 4*t^2.46 + t^3. + 2*t^3.419 + 6*t^4.081 + 2*t^4.202 + t^4.323 + 8*t^4.5 + 4*t^4.621 + 10*t^4.919 + 2*t^5.04 + t^5.162 + 8*t^5.46 + 2*t^5.581 + 6*t^5.879 - 5*t^6. - t^4.5/y - t^4.5*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
406	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6776	0.8842	0.7663	[M:[1.153, 0.694, 0.6735, 0.6735], q:[0.75, 0.4235], qb:[0.4235, 0.403], phi:[0.5]]	2*t^2.021 + t^2.082 + 2*t^2.479 + t^3. + 2*t^3.459 + 2*t^3.521 + 6*t^4.041 + 2*t^4.103 + t^4.164 + 4*t^4.5 + 2*t^4.562 + 3*t^4.959 + 2*t^5.021 + t^5.082 + 6*t^5.479 + 6*t^5.541 + 2*t^5.603 + 2*t^5.938 - t^6. - t^4.5/y - t^4.5*y	detail