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
56955	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6695	0.8409	0.7962	[M:[0.9244, 1.1395, 1.0969, 0.8605, 0.688, 1.0969, 0.7093], q:[0.5165, 0.5591], qb:[0.344, 0.7742], phi:[0.4515]]	[M:[[-10], [-8], [4], [8], [-6], [4], [-12]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-2	t^2.064 + t^2.128 + t^2.581 + t^2.773 + 2*t^3.291 + t^3.355 + t^3.419 + t^4. + t^4.064 + t^4.128 + t^4.192 + t^4.256 + t^4.454 + t^4.581 + t^4.645 + 2*t^4.709 + t^4.837 + t^4.901 + t^5.163 + 2*t^5.355 + 3*t^5.419 + t^5.482 + 2*t^5.546 + t^5.872 + t^5.936 - 2*t^6. + 2*t^6.064 + 2*t^6.128 + 3*t^6.192 + t^6.256 + t^6.32 + t^6.383 + 3*t^6.581 + t^6.645 + 2*t^6.709 + 3*t^6.773 + 3*t^6.837 + t^6.901 + t^6.965 + t^7.029 + t^7.035 + t^7.291 + t^7.355 + 3*t^7.419 + 4*t^7.482 + 3*t^7.546 + 2*t^7.61 + 2*t^7.674 + 2*t^7.744 + 2*t^8. - t^8.064 + t^8.128 + 3*t^8.192 + 3*t^8.256 + 4*t^8.32 + t^8.383 + t^8.447 + t^8.454 + t^8.511 - 2*t^8.581 + 4*t^8.709 - t^8.773 + 4*t^8.837 + 4*t^8.901 + t^8.907 + 5*t^8.965 - t^4.355/y - t^6.419/y - t^6.482/y + t^7.064/y - t^7.128/y + t^7.192/y + t^7.581/y + t^7.709/y + t^7.837/y + t^7.901/y + t^8.227/y + t^8.291/y + (3*t^8.355)/y + (3*t^8.419)/y + t^8.482/y - t^8.61/y + (2*t^8.872)/y + t^8.936/y - t^4.355*y - t^6.419*y - t^6.482*y + t^7.064*y - t^7.128*y + t^7.192*y + t^7.581*y + t^7.709*y + t^7.837*y + t^7.901*y + t^8.227*y + t^8.291*y + 3*t^8.355*y + 3*t^8.419*y + t^8.482*y - t^8.61*y + 2*t^8.872*y + t^8.936*y	t^2.064/g1^6 + t^2.128/g1^12 + g1^8*t^2.581 + t^2.773/g1^10 + 2*g1^4*t^3.291 + t^3.355/g1^2 + t^3.419/g1^8 + t^4. + t^4.064/g1^6 + t^4.128/g1^12 + t^4.192/g1^18 + t^4.256/g1^24 + g1^20*t^4.454 + g1^8*t^4.581 + g1^2*t^4.645 + (2*t^4.709)/g1^4 + t^4.837/g1^16 + t^4.901/g1^22 + g1^16*t^5.163 + (2*t^5.355)/g1^2 + (3*t^5.419)/g1^8 + t^5.482/g1^14 + (2*t^5.546)/g1^20 + g1^12*t^5.872 + g1^6*t^5.936 - 2*t^6. + (2*t^6.064)/g1^6 + (2*t^6.128)/g1^12 + (3*t^6.192)/g1^18 + t^6.256/g1^24 + t^6.32/g1^30 + t^6.383/g1^36 + 3*g1^8*t^6.581 + g1^2*t^6.645 + (2*t^6.709)/g1^4 + (3*t^6.773)/g1^10 + (3*t^6.837)/g1^16 + t^6.901/g1^22 + t^6.965/g1^28 + t^7.029/g1^34 + g1^28*t^7.035 + g1^4*t^7.291 + t^7.355/g1^2 + (3*t^7.419)/g1^8 + (4*t^7.482)/g1^14 + (3*t^7.546)/g1^20 + (2*t^7.61)/g1^26 + (2*t^7.674)/g1^32 + 2*g1^24*t^7.744 + 2*t^8. - t^8.064/g1^6 + t^8.128/g1^12 + (3*t^8.192)/g1^18 + (3*t^8.256)/g1^24 + (4*t^8.32)/g1^30 + t^8.383/g1^36 + t^8.447/g1^42 + g1^20*t^8.454 + t^8.511/g1^48 - 2*g1^8*t^8.581 + (4*t^8.709)/g1^4 - t^8.773/g1^10 + (4*t^8.837)/g1^16 + (4*t^8.901)/g1^22 + g1^40*t^8.907 + (5*t^8.965)/g1^28 - t^4.355/(g1^2*y) - t^6.419/(g1^8*y) - t^6.482/(g1^14*y) + t^7.064/(g1^6*y) - t^7.128/(g1^12*y) + t^7.192/(g1^18*y) + (g1^8*t^7.581)/y + t^7.709/(g1^4*y) + t^7.837/(g1^16*y) + t^7.901/(g1^22*y) + (g1^10*t^8.227)/y + (g1^4*t^8.291)/y + (3*t^8.355)/(g1^2*y) + (3*t^8.419)/(g1^8*y) + t^8.482/(g1^14*y) - t^8.61/(g1^26*y) + (2*g1^12*t^8.872)/y + (g1^6*t^8.936)/y - (t^4.355*y)/g1^2 - (t^6.419*y)/g1^8 - (t^6.482*y)/g1^14 + (t^7.064*y)/g1^6 - (t^7.128*y)/g1^12 + (t^7.192*y)/g1^18 + g1^8*t^7.581*y + (t^7.709*y)/g1^4 + (t^7.837*y)/g1^16 + (t^7.901*y)/g1^22 + g1^10*t^8.227*y + g1^4*t^8.291*y + (3*t^8.355*y)/g1^2 + (3*t^8.419*y)/g1^8 + (t^8.482*y)/g1^14 - (t^8.61*y)/g1^26 + 2*g1^12*t^8.872*y + g1^6*t^8.936*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
58919	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$	0.6447	0.8084	0.7975	[M:[1.0476, 1.2381, 1.0476, 0.7619, 0.7619, 1.0476, 0.8571], q:[0.381, 0.5714], qb:[0.381, 0.7619], phi:[0.4762]]	2*t^2.286 + t^2.571 + 3*t^3.143 + t^3.429 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + 3*t^4.857 + t^5.143 + 4*t^5.429 + 5*t^5.714 - t^4.429/y - t^4.429*y	detail	{a: 10615/16464, c: 6655/8232, M1: 22/21, M2: 26/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 22/21, M7: 6/7, q1: 8/21, q2: 4/7, qb1: 8/21, qb2: 16/21, phi1: 10/21}
58957	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$	0.6824	0.8623	0.7914	[M:[0.9424, 1.1539, 1.0897, 0.8461, 0.6988, 1.0897, 0.7309, 0.8461], q:[0.4967, 0.5609], qb:[0.3494, 0.7724], phi:[0.4551]]	t^2.096 + t^2.193 + 2*t^2.538 + t^2.827 + 2*t^3.269 + t^3.365 + t^4. + t^4.096 + t^4.193 + t^4.289 + t^4.346 + t^4.385 + t^4.538 + 2*t^4.635 + 3*t^4.731 + t^4.924 + t^5.02 + 3*t^5.076 + 3*t^5.365 + 3*t^5.462 + t^5.654 + 3*t^5.807 + 2*t^5.904 - 3*t^6. - t^4.365/y - t^4.365*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
55312	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$	0.6493	0.8027	0.8089	[M:[0.9348, 1.1478, 1.0927, 0.8522, 0.6942, 1.0927], q:[0.505, 0.5601], qb:[0.3471, 0.7732], phi:[0.4536]]	t^2.083 + t^2.556 + t^2.804 + 2*t^3.278 + t^3.361 + t^3.444 + t^3.835 + t^4. + t^4.083 + t^4.165 + t^4.391 + t^4.556 + t^4.639 + t^4.722 + t^4.887 + t^5.113 + 2*t^5.361 + t^5.444 + t^5.609 + t^5.835 + 2*t^5.917 - 2*t^6. - t^4.361/y - t^4.361*y	detail