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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

#	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
4464	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.678	0.928	0.7306	[M:[0.9252, 1.2244, 0.7756, 0.7756, 0.687, 0.7756, 0.8366, 0.687], q:[0.7313, 0.3435], qb:[0.3435, 0.4321], phi:[0.5374]]	[M:[[4], [-12], [12], [12], [-10], [12], [-18], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{8}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	-1	3*t^2.061 + 4*t^2.327 + t^2.51 + t^2.776 + 2*t^3.224 + t^3.673 + 6*t^4.122 + t^4.205 + 12*t^4.388 + 3*t^4.571 + 10*t^4.653 + 7*t^4.837 + t^5.02 + 4*t^5.102 + 7*t^5.286 + 8*t^5.551 + 3*t^5.734 - t^6. + 11*t^6.183 + 23*t^6.449 + 4*t^6.531 + 6*t^6.632 + 28*t^6.714 + 17*t^6.898 + 20*t^6.98 + 3*t^7.081 + 16*t^7.163 + 17*t^7.347 + 10*t^7.429 + t^7.53 + 20*t^7.612 + 7*t^7.795 + 15*t^7.878 - 3*t^8.061 + 18*t^8.244 - 13*t^8.327 + t^8.409 + 34*t^8.51 + 11*t^8.693 + 42*t^8.776 + 10*t^8.858 + 27*t^8.959 - t^4.612/y - (2*t^6.673)/y - (2*t^6.939)/y + (2*t^7.122)/y + (12*t^7.388)/y + (3*t^7.571)/y + (6*t^7.653)/y + (7*t^7.837)/y + (5*t^8.102)/y + (9*t^8.286)/y + (10*t^8.551)/y + (2*t^8.734)/y - t^4.612*y - 2*t^6.673*y - 2*t^6.939*y + 2*t^7.122*y + 12*t^7.388*y + 3*t^7.571*y + 6*t^7.653*y + 7*t^7.837*y + 5*t^8.102*y + 9*t^8.286*y + 10*t^8.551*y + 2*t^8.734*y	(3*t^2.061)/g1^10 + 4*g1^12*t^2.327 + t^2.51/g1^18 + g1^4*t^2.776 + (2*t^3.224)/g1^4 + t^3.673/g1^12 + (6*t^4.122)/g1^20 + g1^32*t^4.205 + 12*g1^2*t^4.388 + (3*t^4.571)/g1^28 + 10*g1^24*t^4.653 + (7*t^4.837)/g1^6 + t^5.02/g1^36 + 4*g1^16*t^5.102 + (7*t^5.286)/g1^14 + 8*g1^8*t^5.551 + (3*t^5.734)/g1^22 - t^6. + (11*t^6.183)/g1^30 + (23*t^6.449)/g1^8 + 4*g1^44*t^6.531 + (6*t^6.632)/g1^38 + 28*g1^14*t^6.714 + (17*t^6.898)/g1^16 + 20*g1^36*t^6.98 + (3*t^7.081)/g1^46 + 16*g1^6*t^7.163 + (17*t^7.347)/g1^24 + 10*g1^28*t^7.429 + t^7.53/g1^54 + (20*t^7.612)/g1^2 + (7*t^7.795)/g1^32 + 15*g1^20*t^7.878 - (3*t^8.061)/g1^10 + (18*t^8.244)/g1^40 - 13*g1^12*t^8.327 + g1^64*t^8.409 + (34*t^8.51)/g1^18 + (11*t^8.693)/g1^48 + 42*g1^4*t^8.776 + 10*g1^56*t^8.858 + (27*t^8.959)/g1^26 - t^4.612/(g1^2*y) - (2*t^6.673)/(g1^12*y) - (2*g1^10*t^6.939)/y + (2*t^7.122)/(g1^20*y) + (12*g1^2*t^7.388)/y + (3*t^7.571)/(g1^28*y) + (6*g1^24*t^7.653)/y + (7*t^7.837)/(g1^6*y) + (5*g1^16*t^8.102)/y + (9*t^8.286)/(g1^14*y) + (10*g1^8*t^8.551)/y + (2*t^8.734)/(g1^22*y) - (t^4.612*y)/g1^2 - (2*t^6.673*y)/g1^12 - 2*g1^10*t^6.939*y + (2*t^7.122*y)/g1^20 + 12*g1^2*t^7.388*y + (3*t^7.571*y)/g1^28 + 6*g1^24*t^7.653*y + (7*t^7.837*y)/g1^6 + 5*g1^16*t^8.102*y + (9*t^8.286*y)/g1^14 + 10*g1^8*t^8.551*y + (2*t^8.734*y)/g1^22

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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

Search in the table:

7102550All entries per page

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

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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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
2421	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6573	0.8878	0.7404	[M:[0.9247, 1.2259, 0.7741, 0.7741, 0.6882, 0.7741, 0.8388], q:[0.7312, 0.3441], qb:[0.3441, 0.43], phi:[0.5376]]	2*t^2.065 + 4*t^2.322 + t^2.516 + t^2.774 + 2*t^3.226 + t^3.678 + t^3.935 + 3*t^4.129 + t^4.193 + 8*t^4.387 + 2*t^4.581 + 10*t^4.645 + 6*t^4.839 + t^5.033 + 4*t^5.097 + 5*t^5.291 + 8*t^5.548 + 2*t^5.742 + t^6. - t^4.613/y - t^4.613*y	detail