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
47012	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6533	0.8408	0.777	[M:[1.1667, 0.75, 0.8333, 0.75], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]]	[M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 669/1024, c: 861/1024, M1: 7/6, M2: 3/4, M3: 5/6, M4: 3/4, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{3}q_{1}\tilde{q}_{1}$	0	3*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + 4*t^5. + 4*t^5.25 + 4*t^5.5 + 6*t^5.75 + 5*t^6.25 + 4*t^6.5 + 14*t^6.75 + 8*t^7. + 7*t^7.25 + 10*t^7.5 + 7*t^7.75 + 13*t^8. + 9*t^8.5 + 4*t^8.75 - t^4.5/y - (2*t^6.75)/y + (3*t^7.5)/y + (3*t^7.75)/y + (3*t^8.)/y + (6*t^8.25)/y + (4*t^8.5)/y + (8*t^8.75)/y - t^4.5*y - 2*t^6.75*y + 3*t^7.5*y + 3*t^7.75*y + 3*t^8.*y + 6*t^8.25*y + 4*t^8.5*y + 8*t^8.75*y	3*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + 4*t^5. + 4*t^5.25 + 4*t^5.5 + 6*t^5.75 + 5*t^6.25 + 4*t^6.5 + 14*t^6.75 + 8*t^7. + 7*t^7.25 + 10*t^7.5 + 7*t^7.75 + 13*t^8. + 9*t^8.5 + 4*t^8.75 - t^4.5/y - (2*t^6.75)/y + (3*t^7.5)/y + (3*t^7.75)/y + (3*t^8.)/y + (6*t^8.25)/y + (4*t^8.5)/y + (8*t^8.75)/y - t^4.5*y - 2*t^6.75*y + 3*t^7.5*y + 3*t^7.75*y + 3*t^8.*y + 6*t^8.25*y + 4*t^8.5*y + 8*t^8.75*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
50995	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$	0.6676	0.8656	0.7713	[M:[1.1667, 0.75, 0.8333, 0.75, 0.8333], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]]	3*t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 6*t^4.75 + 6*t^5. + 5*t^5.25 + 5*t^5.5 + 4*t^5.75 - t^4.5/y - t^4.5*y	detail	{a: 2051/3072, c: 2659/3072, M1: 7/6, M2: 3/4, M3: 5/6, M4: 3/4, M5: 5/6, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2}
55425	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$	0.639	0.8161	0.783	[M:[1.1667, 0.75, 0.8333, 0.75, 1.1667], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]]	3*t^2.25 + t^2.75 + t^3. + t^3.25 + 3*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 8*t^5.75 - 2*t^6. - t^4.5/y - t^4.5*y	detail	{a: 1963/3072, c: 2507/3072, M1: 7/6, M2: 3/4, M3: 5/6, M4: 3/4, M5: 7/6, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2}
50954	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$	0.661	0.8537	0.7743	[M:[1.1667, 0.75, 0.8333, 0.75, 0.9167], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]]	3*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + 7*t^5. + 5*t^5.25 + 3*t^5.5 + 6*t^5.75 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 4061/6144, c: 5245/6144, M1: 7/6, M2: 3/4, M3: 5/6, M4: 3/4, M5: 11/12, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2}

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
46766	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$	0.6343	0.8062	0.7868	[M:[1.1667, 0.75, 0.8333], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]]	2*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 4*t^5.75 + 2*t^6. - t^4.5/y - t^4.5*y	detail	{a: 1299/2048, c: 1651/2048, M1: 7/6, M2: 3/4, M3: 5/6, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2}