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
55036	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6554	0.8206	0.7987	[X:[1.4999], M:[0.9287, 0.5001, 0.7857, 1.2143, 0.7857, 0.7857], q:[0.7142, 0.3571], qb:[0.7857, 0.4286], phi:[0.4286]]	[X:[[7]], M:[[-9], [-7], [1], [-1], [1], [1]], q:[[6], [3]], qb:[[1], [-2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	-1	3*t^2.357 + t^2.572 + t^2.786 + 3*t^3.428 + t^3.857 + 2*t^4.5 + 7*t^4.714 + 2*t^4.929 + 3*t^5.143 + t^5.358 + t^5.571 + t^5.572 + 8*t^5.785 - t^6. + 2*t^6.215 + t^6.644 + 8*t^6.857 + 8*t^7.071 + 3*t^7.286 + 5*t^7.5 + 4*t^7.715 + 6*t^7.928 + 3*t^7.929 + 13*t^8.143 + t^8.144 - 8*t^8.357 + t^8.359 + 2*t^8.572 - 3*t^8.786 + 3*t^8.999 - t^4.286/y - (2*t^6.643)/y - t^6.857/y - t^7.072/y + t^7.5/y + (4*t^7.714)/y + (5*t^7.929)/y + (3*t^8.143)/y + t^8.358/y + (9*t^8.785)/y - t^4.286*y - 2*t^6.643*y - t^6.857*y - t^7.072*y + t^7.5*y + 4*t^7.714*y + 5*t^7.929*y + 3*t^8.143*y + t^8.358*y + 9*t^8.785*y	3*g1*t^2.357 + t^2.572/g1^4 + t^2.786/g1^9 + 3*g1^4*t^3.428 + t^3.857/g1^6 + 2*g1^7*t^4.5 + 7*g1^2*t^4.714 + (2*t^4.929)/g1^3 + (3*t^5.143)/g1^8 + t^5.358/g1^13 + g1^10*t^5.571 + t^5.572/g1^18 + 8*g1^5*t^5.785 - t^6. + (2*t^6.215)/g1^5 + t^6.644/g1^15 + 8*g1^8*t^6.857 + 8*g1^3*t^7.071 + (3*t^7.286)/g1^2 + (5*t^7.5)/g1^7 + (4*t^7.715)/g1^12 + 6*g1^11*t^7.928 + (3*t^7.929)/g1^17 + 13*g1^6*t^8.143 + t^8.144/g1^22 - 8*g1*t^8.357 + t^8.359/g1^27 + (2*t^8.572)/g1^4 - (3*t^8.786)/g1^9 + 3*g1^14*t^8.999 - t^4.286/(g1^2*y) - (2*t^6.643)/(g1*y) - t^6.857/(g1^6*y) - t^7.072/(g1^11*y) + (g1^7*t^7.5)/y + (4*g1^2*t^7.714)/y + (5*t^7.929)/(g1^3*y) + (3*t^8.143)/(g1^8*y) + t^8.358/(g1^13*y) + (9*g1^5*t^8.785)/y - (t^4.286*y)/g1^2 - (2*t^6.643*y)/g1 - (t^6.857*y)/g1^6 - (t^7.072*y)/g1^11 + g1^7*t^7.5*y + 4*g1^2*t^7.714*y + (5*t^7.929*y)/g1^3 + (3*t^8.143*y)/g1^8 + (t^8.358*y)/g1^13 + 9*g1^5*t^8.785*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
56629	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.6443	0.8125	0.7929	[X:[1.3846], M:[1.0769, 0.6154, 0.7692, 1.2308, 0.7692, 0.7692], q:[0.6154, 0.3077], qb:[0.7692, 0.4615], phi:[0.4615]]	3*t^2.308 + t^2.769 + 4*t^3.231 + 3*t^4.154 + 7*t^4.615 + 3*t^5.077 + 11*t^5.538 - t^4.385/y - t^4.385*y	detail	{a: 22647/35152, c: 14281/17576, X1: 18/13, M1: 14/13, M2: 8/13, M3: 10/13, M4: 16/13, M5: 10/13, M6: 10/13, q1: 8/13, q2: 4/13, qb1: 10/13, qb2: 6/13, phi1: 6/13}
56630	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$	0.6528	0.8194	0.7966	[X:[1.4444], M:[1.0, 0.5556, 0.7778, 1.2222, 0.7778, 0.7778], q:[0.6667, 0.3333], qb:[0.7778, 0.4444], phi:[0.4444]]	3*t^2.333 + t^2.667 + t^3. + 3*t^3.333 + t^4. + 2*t^4.333 + 7*t^4.667 + 2*t^5. + 4*t^5.333 + 9*t^5.667 - t^4.333/y - t^4.333*y	detail	{a: 47/72, c: 59/72, X1: 13/9, M1: 1, M2: 5/9, M3: 7/9, M4: 11/9, M5: 7/9, M6: 7/9, q1: 2/3, q2: 1/3, qb1: 7/9, qb2: 4/9, phi1: 4/9}
56635	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$	0.6757	0.8596	0.7861	[X:[1.4897], M:[0.9419, 0.5103, 0.7842, 1.2158, 0.7842, 0.7842, 0.7054], q:[0.7054, 0.3527], qb:[0.7842, 0.4315], phi:[0.4315]]	t^2.116 + 3*t^2.353 + t^2.589 + t^2.826 + 3*t^3.411 + t^4.233 + 5*t^4.469 + 8*t^4.705 + 3*t^4.942 + 3*t^5.178 + t^5.415 + 4*t^5.527 + t^5.651 + 8*t^5.764 - 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
46976	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$	0.6381	0.7898	0.8079	[X:[1.5044], M:[0.9229, 0.4956, 0.7863, 1.2137, 0.7863], q:[0.7181, 0.359], qb:[0.7863, 0.4273], phi:[0.4273]]	2*t^2.359 + t^2.564 + t^2.769 + 3*t^3.436 + t^3.641 + t^3.846 + 2*t^4.513 + 4*t^4.718 + t^4.923 + 2*t^5.128 + t^5.332 + t^5.537 + t^5.59 + 5*t^5.795 + t^6. - t^4.282/y - t^4.282*y	detail